Cdimensionales-DESKTOP-JTK6CMA.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "9b09317a",
   "metadata": {
    "scrolled": true
   },
   "source": [
    "# CALCULO CALOR NETO "
   ]
  },
  {
   "attachments": {
    "calculos%20dimensionales%20%281%29.png": {
     "image/png": 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   "cell_type": "markdown",
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   "metadata": {},
   "source": [
    "![calculos%20dimensionales%20%281%29.png](attachment:calculos%20dimensionales%20%281%29.png)"
   ]
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    }
   },
   "cell_type": "markdown",
   "id": "9a6b2039",
   "metadata": {},
   "source": [
    "![c%C3%A1mara%20de%20combustion.jpg](attachment:c%C3%A1mara%20de%20combustion.jpg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "853ea92b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "**************COEFICIENTES MOLARES PRODUCTOS**************\n",
      "V_CO2: 1.1582\t V_H2O: 2.0848\t α: 2.1688\t V_N2: 8.1637\n",
      "\n",
      " \t HHV teórico : 49809.214[Kj/Kg]\n",
      "\n",
      " \t ρ reactivos GN (27°C,1atm) : 0.719[Kg/m^3]\n",
      "\n",
      " \t m ̇_fuel: 0.072[Kg/h]\n",
      "\n",
      " \t Qneto: -0.995[Kw]\n"
     ]
    }
   ],
   "source": [
    "#Libraries\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as mp\n",
    "import CoolProp.CoolProp as CP\n",
    "import numpy as np\n",
    "import math as mt\n",
    "\n",
    "#Initial conditions for design\n",
    "flow_gn = 100 #[L/h] #volumetric flow initial condition\n",
    "R_u = 0.08205 #[atm*L/mol*K] gas universal constant\n",
    "d_i = 0.0762 #[m] inner diameter shell\n",
    "d_o = 0.1524 #[m] outer diameter shell\n",
    "d_w = 0.0127 #[m] water's diameter spiral tube\n",
    "d_e = (d_i+d_o)/2\n",
    "P_atm_bga = 90888.525 # [Pa] según vanti\n",
    "P_atm = 1 #atm , 101325 Pa\n",
    "T_ad = 2300 #[K]\n",
    "Tw_sup = 50+273.15 #[K] temperatura de superficie\n",
    "Tg_out = 27+273.15 #[K]\n",
    "T_rocio = 55.8 #[C] temperatura de rocío en bga Pi(H2O)=0.163 atm (valor tomado de tabla A-5 termod.cengel)\n",
    "stfb = 5.670e-8 #cte stefan boltzman\n",
    "Re_crit = 2300 # número de reynolds critico\n",
    "\n",
    "#DICTIONARIES*****************************************************\n",
    "#natural gas composition from vanti mol/mol\n",
    "gn ={#fracciones molares reactivos\n",
    "    \"CH4\":0.8186,\n",
    "    \"C2H6\":0.1161,\n",
    "    \"C3H8\":0.0192,\n",
    "    \"C4H10\":4.5*10**-3,\n",
    "    \"N2\":9*10**-3,\n",
    "    \"CO2\":0.0318\n",
    "}\n",
    "\n",
    "#molar mass of each component of natural gas Kg/mol\n",
    "mM =  { \"CH4\":CP.PropsSI('M', 'CH4'),\n",
    "    \"C2H6\":CP.PropsSI('M', 'ethane'),\n",
    "    \"C3H8\":CP.PropsSI('M', 'C3H8'),\n",
    "    \"C4H10\":CP.PropsSI('M', 'Butane'),\n",
    "    \"N2\":CP.PropsSI('M', 'N2'),\n",
    "    \"CO2\":CP.PropsSI('M', 'CO2')\n",
    "}\n",
    " \n",
    "#products natural gas composition\n",
    "gn_p = { #fracciones molares de los productos humedos del gas natural en condiciones estequiometricas\n",
    "    \"CO2\":0.1015,\n",
    "    \"N2\":0.7156,\n",
    "    \"H2O\":0.1827\n",
    "}\n",
    "\n",
    "#natural gas products without water\n",
    "gn_pw ={#fracciones molares de los productos secos del gas natural en condiciones estequiometricas\n",
    "    \"CO2\":0.1242,\n",
    "    \"N2\":0.8757,\n",
    "}\n",
    "\n",
    "#prandtl numbers of natural gas products\n",
    "pprandtl = { #numeros de prandtl a 2300K y 1 atm , tomados de Transf.deCalor cengel\n",
    "    \"CO2\":0.8815,\n",
    "    \"N2\":0.4483,\n",
    "    \"H2O\":0.7833\n",
    "}\n",
    "\n",
    "#prandtl numbers of natural gas products\n",
    "ppprandtl = { #numeros de prandtl a 1000C y 1 atm , tomados de Transf.deCalor cengel\n",
    "    \"CO2\":0.7455,\n",
    "    \"N2\":0.7022,\n",
    "    \"H2O\":0.8639\n",
    "}\n",
    "\n",
    "#thermal conductivity of natural gas products\n",
    "cconductivity = { #conductividad térmica a 2300K y 1 atm , tomados de Transf.deCalor cengel\n",
    "    \"CO2\":0.1152,\n",
    "    \"N2\":0.1859,\n",
    "    \"H2O\":0.2918\n",
    "}\n",
    "\n",
    "#Molar mass of each product of natural gas Kg/mol\n",
    "mM_p = {\n",
    "    \"CO2\":CP.PropsSI('M', 'CO2'),\n",
    "    \"N2\":CP.PropsSI('M', 'N2'),\n",
    "    \"H2O\":CP.PropsSI('M', 'H2O')\n",
    "}\n",
    "\n",
    "#Formation enthalpy(25C,1atm)[kJ/kmol] tomado de turns\n",
    "hf = {\n",
    "    \"CH4\":-74873,\n",
    "    \"C2H6\":-84670,\n",
    "    \"C3H8\":-103800,\n",
    "    \"C4H10\":-127100,\n",
    "    \"N2\":0,\n",
    "    \"CO2\":-393522,\n",
    "    \"H2O\":-285830\n",
    "}\n",
    "\n",
    "#FUNCTIONS**************************************************************\n",
    "#function for browsing the dictionaries\n",
    "def browse(dictionary):\n",
    "    #print(dictionary)\n",
    "    value = ''\n",
    "    for i in dictionary:\n",
    "        value += i +\" \" + \":\" + \" \" + str(dictionary[i]) + \"\\n\" \n",
    "    print(value)\n",
    "\n",
    "#function for showing the heat exchanger dimensions        \n",
    "def showSize():\n",
    "    print(f\"\\t Área del Intercambiador:{A:.3f}[m^2]\\n \\t Longitud Intercambiador(Sección anular):{L_inter:.3f}[m]\\n \\\n",
    "    \\t Longitud tubería agua: {L_tubo:.3f}[m]\\n \\t Número de espiras: {cont+1}\")\n",
    "    \n",
    "#function for calculating the dinamic viscosity of natural gas products\n",
    "def dinaViscosity(T,P,fgn_p):#(temp,presión,fracciones molares productos)\n",
    "    miuSum = 0 #acumulador\n",
    "    if T<(T_rocio+273.15):#temperatura de rocío vapor de agua condiciones estándar\n",
    "        miu_p = {\n",
    "        \"CO2\":CP.PropsSI('V', 'T', T, 'P', P, \"CO2\"),\n",
    "        \"N2\":CP.PropsSI('V', 'T', T, 'P', P, \"N2\")\n",
    "    }\n",
    "        miuSum = ((gn_pw[\"CO2\"]*miu_p[\"CO2\"])+(gn_pw[\"N2\"]*miu_p[\"N2\"]))\n",
    "            \n",
    "    else:\n",
    "        miu_p = {\n",
    "        \"CO2\":CP.PropsSI('V', 'T', T, 'P', P, \"CO2\"),\n",
    "        \"N2\":CP.PropsSI('V', 'T', T, 'P', P, \"N2\"),\n",
    "        \"H2O\":CP.PropsSI('V', 'T', T, 'P', P, \"H2O\")\n",
    "    }\n",
    "        for i in (miu_p):\n",
    "            miuSum += miu_p[i]*fgn_p[i]\n",
    "    return miuSum #devuelve la viscocidad dinámica de los productos[Kg/m*s]\n",
    "\n",
    "#for calculating the prandtl number of the natural gas products \n",
    "def prandtl(T,P,fgn_pw,fprandtl,fgn_p): #(Kelvin,pascal,dic_GNproductos sin agua,dic_#prandtl,dic_fracc.mol.prod)\n",
    "    Pr = 0\n",
    "    if T<T_rocio+273.15: #si está por debajo de la temperatura de rocío no tiene en cuenta el agua\n",
    "        for i in fgn_pw:\n",
    "            Cp = CP.PropsSI('CPMASS', 'T', T, 'P', P, i)\n",
    "            mu = CP.PropsSI('VISCOSITY', 'T', T, 'P', P, i)\n",
    "            k = CP.PropsSI('CONDUCTIVITY', 'T', T, 'P', P, i)\n",
    "            Pr += ((Cp * mu) / k)*fgn_pw[i]\n",
    "    else:\n",
    "        for i in fgn_p:\n",
    "            Pr += fprandtl[i]*fgn_p[i]\n",
    "    return Pr\n",
    "\n",
    "#for calculating the thermal conductivity of natural gas products\n",
    "def conductivity (T,P,fgn_pw,fconductivity,fgn_p):#(Kelvin,pascal,dic_GNproductos sin agua,dic_condc.térm.prod,dic_fracc.mol.prod)\n",
    "    kc = 0\n",
    "    if T<T_rocio+273.15: #si está por debajo de la temperatura de rocío no tiene en cuenta el agua\n",
    "        for i in fgn_pw:\n",
    "            k = CP.PropsSI('CONDUCTIVITY', 'T', T, 'P', P, i)\n",
    "            kc += k*fgn_pw[i]\n",
    "    else:\n",
    "        for i in fgn_p:\n",
    "            kc += fconductivity[i]*fgn_p[i]\n",
    "    return kc\n",
    "\n",
    "#Function for caculating the water properties\n",
    "def wProperties(T,P,fluid): #(Celsius, Pascal) calcula las propiedades de cualquier fluido\n",
    "    rho = CP.PropsSI('D', 'T', T+273.15, 'P', P, fluid) #[Kg/m^3]\n",
    "    mu = CP.PropsSI('V', 'T', T+273.15, 'P', P, fluid) #[Kg/m*s]\n",
    "    Cp = CP.PropsSI('CPMASS', 'T', T+273.15, 'P', P, fluid)/1000 #[Kj/Kg*K]\n",
    "    k = CP.PropsSI('CONDUCTIVITY', 'T', T+273.15, 'P', P, fluid) #[W/m*K]\n",
    "    Pr = ((Cp * mu) / k)*1000\n",
    "    return rho,mu,Cp,k,Pr\n",
    "\n",
    "#function for calculating the natural gas density [reactivos]\n",
    "def density(T,P,fgn,fmM): #(T[C],P[atm],fgn[gas natural composition],fnM[molar mass])\n",
    "    v = (R_u*(T+273.15))/P #[L/mol]\n",
    "    vSum = 0\n",
    "    for i in gn:\n",
    "        vSum += ((fgn[i]*v)/fmM[i])/1000 #[m^3/Kg]\n",
    "    return 1/vSum #devuelve la densidad del gas [kg/m^3] \n",
    "\n",
    "#function for calculating the products natural gas density\n",
    "def pdensity(T,P,fgn_p,fmM_p):#(temp,presión,fracciones molares productos, masa molar productos)\n",
    "    v = (R_u*(T+273.15))/P #[L/mol]\n",
    "    vSum = 0\n",
    "    if T<55.8: #temperatura de rocío vapor de agua condiciones estándar\n",
    "        vSum =((gn_pw[\"CO2\"]*(v/fmM_p[\"CO2\"]))+(gn_pw[\"N2\"]*(v/fmM_p[\"N2\"])))/1000 #[m^3/Kg]\n",
    "    else:\n",
    "        for i in gn_p:\n",
    "            vSum += ((fgn_p[i]*v)/fmM_p[i])/1000 #[m^3/Kg]\n",
    "    return 1/vSum #devuelve la densidad del gas [kg/m^3]\n",
    "\n",
    "#Function for calculating the experimental HHV and the error rate\n",
    "def fHHV(VH2O,VGas,T1,T2): #(lpm,lpm,Celsius,Celsius,Pascal)\n",
    "    T_prom = (T1+T2)/2\n",
    "    Cp_prom = CP.PropsSI('CPMASS', 'T', T_prom+273.15, 'P', 90888.525 , 'H2O')/1000 #[Kj/Kg*K]\n",
    "    rhow_prom = CP.PropsSI('D', 'T', T_prom+273.15, 'P', 90888.525 , 'H2O') #[Kg/m^3]\n",
    "    rho_gas = density(25,0.897,gn,mM) #Tamb,PatmBGA,componentesGN,MasaMolarGN\n",
    "    delta_T = T2-T1\n",
    "    pcs = (Cp_prom*rhow_prom*VH2O*delta_T)/(rho_gas*VGas)\n",
    "    error = abs(((pcs - HHV)/HHV)*100)\n",
    "    return pcs,error #kJ/Kg\n",
    "#FUNCTIONS**************************************************************\n",
    "\n",
    "#Stequiometric balance for natural gas\n",
    "# {0.8186(CH4) + 0.1161(C2H6) + 0.0192(C3H8) + 4,5x10^-3(C4H1O) + 9x10^-3(N2) +\n",
    "# 0.0318(CO2)}fuel + {α(O2+3.76N2)}air -> V_CO2(CO2)+V_H20(H20)+V_N2(N2)\n",
    "\n",
    "vCO2 = gn[\"CH4\"]+2*gn[\"C2H6\"]+3*gn[\"C3H8\"]+4*gn[\"C4H10\"]+gn[\"CO2\"]\n",
    "vH2O = (4*gn[\"CH4\"]+6*gn[\"C2H6\"]+8*gn[\"C3H8\"]+10*gn[\"C4H10\"])/2\n",
    "alpha = (2*vCO2+vH2O-2*gn[\"CO2\"])/2\n",
    "vN2 = (2*gn[\"N2\"]+alpha*3.76*2)/2\n",
    "\n",
    "print(\"**************COEFICIENTES MOLARES PRODUCTOS**************\")\n",
    "print(f\"V_CO2: {vCO2:.4f}\\t V_H2O: {vH2O}\\t α: {alpha}\\t V_N2: {vN2:.4f}\")\n",
    "\n",
    "mM_gn = 0 #declaro la variable acumuladora como cero(masa molar del gas natural)\n",
    "for i in gn or mM: #for para recorrer el diccionario\n",
    "    mM_gn += gn[i]*mM[i]#Kg/mol #sumatoria de la multiplicación de la cantidad de moles por la masa molar de cada elemento\n",
    "\n",
    "#calculation of the stoichiometric air-fuel ratio\n",
    "air_fuel = (4.76*alpha*CP.PropsSI('M','AIR'))/mM_gn #Kg(air)/Kg(fuel)\n",
    "\n",
    "#calculation of net molar heat [Kj/Kmol] \n",
    "q_neto_m = (vCO2*hf[\"CO2\"]+vH2O*hf[\"H2O\"])-(gn[\"CH4\"]*hf[\"CH4\"]+gn[\"C2H6\"]*hf[\"C2H6\"]+gn[\"C3H8\"]*hf[\"C3H8\"]+gn[\"C4H10\"]*hf[\"C4H10\"]+gn[\"CO2\"]*hf[\"CO2\"])\n",
    "q_neto = q_neto_m/(mM_gn*1000) #[Kj/Kg] net heat = HHV\n",
    "\n",
    "#the net heat is equal to higher heat value qneto=PCS\n",
    "HHV = abs(q_neto)\n",
    "print(f\"\\n \\t HHV teórico : {HHV:.3f}[Kj/Kg]\")\n",
    "print(f\"\\n \\t ρ reactivos GN (27°C,1atm) : {density(27,1,gn,mM):.3f}[Kg/m^3]\")\n",
    "\n",
    "m_dot_fuel = density(27,1,gn,mM)*(flow_gn/1000) #[Kg/h] masic flow of natural gas\n",
    "print(f\"\\n \\t m ̇_fuel: {m_dot_fuel:.3f}[Kg/h]\")\n",
    "\n",
    "\n",
    "Q_neto = (q_neto*m_dot_fuel)/3600 #net heat [Kw]\n",
    "print(f\"\\n \\t Qneto: {Q_neto:.3f}[Kw]\")\n",
    "\n",
    "#masic flow of air\n",
    "m_dot_air = air_fuel*m_dot_fuel #[Kg(air)/h]\n",
    "m_dot_total = m_dot_air+m_dot_fuel #[Kg/h]total mass flow of reagents m_react=m_prod\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c0f3c27",
   "metadata": {
    "scrolled": false
   },
   "source": [
    "# CALCULO COEFICIENTE TOTAL DE TRASNFERENCIA DE CALOR"
   ]
  },
  {
   "attachments": {
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    }
   },
   "cell_type": "markdown",
   "id": "4706aad0",
   "metadata": {},
   "source": [
    "![llama%20adiabatica.jpg](attachment:llama%20adiabatica.jpg)"
   ]
  },
  {
   "attachments": {
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    }
   },
   "cell_type": "markdown",
   "id": "d7738efe",
   "metadata": {},
   "source": [
    "![Vmax.jpg](attachment:Vmax.jpg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "68eac106",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " \t Velocidad promedio gas: 129.805[m/h]\n",
      "\n",
      " \t #Reynolds: 16.091\n",
      "\n",
      " \t coeficiente convectivo gas h_o: 8.755[W/m^2*K]\n",
      "\n",
      " \t coeficiente radiación gas h_rad: 20.777[W/m^2*K]\n",
      "\n",
      " \t coeficiente combinado gas h_comb: 29.532[W/m^2*K]\n",
      "\n",
      " \t #Reynolds Agua: 5672.888\n",
      "\n",
      " \t coeficiente convectivo agua h_i: 3103.413[W/m^2*K]\n",
      "\n",
      " \t coeficiente total de transferencia de calor U: 29.254[W/m^2*K]\n"
     ]
    }
   ],
   "source": [
    "#h_o coef.transferencia de calor convección exterior (GAS)\n",
    "A_c = ((mt.pi*(d_o**2-d_i**2))/4)-(d_w*(mt.pi*(d_o+d_i)/2)) #[m^2] anular section area\n",
    "A_c_sa = ((mt.pi*(d_o**2-d_i**2))/4) #0.01368 #área transversal de la sección anular \n",
    "\n",
    "d_mix_prom = (pdensity(2026.85,1,gn_p,mM_p)+pdensity(27,1,gn_p,mM_p))/2 #[Kg/m^3] #densidad promedio (d(Tad)+d(Tg_out))/2\n",
    "\n",
    "#average gas velocity\n",
    "ST = (d_e-d_i) #distancia entre el centro de la sección transversal de la espira hasta la pared del intercambiador\n",
    "v_gas = m_dot_total/(d_mix_prom*A_c_sa) #[m/h]\n",
    "v_max = (ST/(ST-(d_w/2)))*v_gas #velocidad máxima del gas [m/h]\n",
    "print(f\"\\n \\t Velocidad promedio gas: {v_gas:.3f}[m/h]\")\n",
    "\n",
    "perimetro = 2*mt.pi*(d_i+d_o) #[m]perimetro de la sección anular\n",
    "d_h = 4*A_c/perimetro #[m] diametro hidraulico\n",
    "L_c = d_h #[m] Longitud caracteristica\n",
    "\n",
    "#calculo el promedio de la viscodidad dinámica a temperatura de llama ad y temperatura de salida de los gases\n",
    "miu_mix_prom = (dinaViscosity(2300,101325,gn_p)+dinaViscosity(300,101325,gn_p))/2 #[Kg/m*s]\n",
    "\n",
    "Re_gas = (d_mix_prom*v_max*L_c)/(miu_mix_prom*3600)  #número de reynolds\n",
    "print(f\"\\n \\t #Reynolds: {Re_gas:.3f}\")\n",
    "\n",
    "#calculo número de prandtl promedio a temperatura de llama ad y temperatura de salida de los gases\n",
    "prandtl_mix_prom = (prandtl(300,101325,gn_pw,pprandtl,gn_p)+prandtl(2300,101325,gn_pw,pprandtl,gn_p))/2\n",
    "\n",
    "#calculo número de prandtl a temperatura de superficie del intercambiador\n",
    "prandtl_mix_s =prandtl(1300,101325,gn_pw,ppprandtl,gn_p) \n",
    "\n",
    "#calculo conductividad térmica promedio a temperatura de llama ad y temperatura de salida de los gases\n",
    "k_mix_prom = (conductivity(300,101325,gn_pw,cconductivity,gn_p)+conductivity(2300,101325,gn_pw,cconductivity,gn_p))/2 #[W/m*K]\n",
    "\n",
    "#calculo número de nusselt según Zukauskas\n",
    "C_1 = 0.8  #\"página 470 incropera tabla 7.5\"\n",
    "mg = 0.4 #\"página 470 incropera tabla 7.5\"\n",
    "Nu = C_1*Re_gas**mg*(prandtl_mix_prom**0.36)*(prandtl_mix_prom/prandtl_mix_s)**(1/4)\n",
    " \n",
    "\n",
    "#calculo coeficiente de transferencia convectivo para el gas\n",
    "h_gas = (Nu*k_mix_prom)/L_c\n",
    "print(f\"\\n \\t coeficiente convectivo gas h_o: {h_gas:.3f}[W/m^2*K]\")\n",
    "\n",
    "#Calculo del coeficiente de radiación h_radiación (GAS)\n",
    "Pw = P_atm*gn_p[\"H2O\"] #presión parcial agua\n",
    "Pc = P_atm*gn_p[\"CO2\"] #presión parcial dioxido de carbono\n",
    "L = 0.65*(d_i*3.28084) #3.6V/As\n",
    "e_c = 0.025 #gráfica 13-36 @1500K Pc*L=0.025\n",
    "e_w = 0.016 #gráfica 13-36 @1500K Pw*L=0.045\n",
    "C_c = 1.1 #gráfica 13-37 Pc*L=0.025\n",
    "C_w = 1.1 #gráfica 13-37 (Pw+P)/2=0.045\n",
    "delta_e = 0 #Pc*L+Pw*L=0,07  Pw/(Pc+Pw)=0,643\n",
    "e_gas = C_c*e_c + C_w*e_w - delta_e\n",
    "T_sup = 1000 #[K]\n",
    "T_gas = 1500 #[K]\n",
    "h_rad = e_gas*stfb*(T_sup**2+T_gas**2)*(T_sup+T_gas) #[W/m^2*K]\n",
    "h_comb = h_rad + h_gas #[W/m^2*K]\n",
    "print(f\"\\n \\t coeficiente radiación gas h_rad: {h_rad:.3f}[W/m^2*K]\")\n",
    "print(f\"\\n \\t coeficiente combinado gas h_comb: {h_comb:.3f}[W/m^2*K]\")\n",
    "\n",
    "\n",
    "#CALCULO DEL h_i COEFICIENTE DE CONVECCIÓN INTERNA (AGUA)\n",
    "Tw_in = 25 #[C]\n",
    "Tw_out = 30 #[C]\n",
    "Tw_prom = (Tw_in+Tw_out)/2 #[C]\n",
    "delta_w = Tw_out-Tw_in #[C]\n",
    "\n",
    "#flujo másico agua\n",
    "Q_dot_neto =abs(Q_neto*3600) #[Kj/h]\n",
    "m_dot_w = (Q_dot_neto/(delta_w*wProperties(Tw_prom,101325,'Water')[2]))/3600 #[Kg/s]\n",
    "\n",
    "#Número de reynolds del agua calculado a la temperatura promedio entre la salida y la entrada\n",
    "Re_w = (4*m_dot_w)/(mt.pi*d_w*wProperties(Tw_prom,101325,'Water')[1])\n",
    "print(f\"\\n \\t #Reynolds Agua: {Re_w:.3f}\")\n",
    "\n",
    "#calculo número de nusselt según gnilinski\n",
    "#Nusselt laminar flow\n",
    "m = 0.5+0.2903*(d_w/d_e)**0.194\n",
    "Nu_w_l = 3.66+0.08*(1+0.8*(d_w/d_e)**0.9)*(Re_w**m)*(wProperties(Tw_prom,101325,'Water')[4])**(1/3)\n",
    "#Nusselt turbulent flow\n",
    "gamma = (0.3164/Re_w**0.25)+0.03*(d_w/d_e)**0.5 #friction factor by Mishra and gupta\n",
    "Nu_w_t = ((gamma/8)*Re_w*wProperties(Tw_prom,101325,'Water')[4])/(1+12.7*((gamma/8)**(1/2))*((wProperties(Tw_prom,101325,'Water')[4])**(2/3)-1))\n",
    "\n",
    "#Nusselt\n",
    "Y = (2.2*10**4 -Re_w)/(2.2*10**4 - Re_crit)\n",
    "Nu_w = Y*Nu_w_l+(1-Y)*Nu_w_t\n",
    "\n",
    "#calculo coeficiente convectivo agua\n",
    "h_i = (Nu_w*wProperties(Tw_prom,101325,'water')[3])/d_w\n",
    "print(f\"\\n \\t coeficiente convectivo agua h_i: {h_i:.3f}[W/m^2*K]\")\n",
    "\n",
    "#coeficiente total de transferencia de calor\n",
    "U = 1/((1/h_comb)+(1/h_i))\n",
    "print(f\"\\n \\t coeficiente total de transferencia de calor U: {U:.3f}[W/m^2*K]\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cb64d7fe",
   "metadata": {},
   "source": [
    "# CALCULO DE LA DIFERENCIA MEDIA LOGARITMICA"
   ]
  },
  {
   "attachments": {
    "LTMD.jpg": {
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    }
   },
   "cell_type": "markdown",
   "id": "ce2222cd",
   "metadata": {},
   "source": [
    "![LTMD.jpg](attachment:LTMD.jpg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "45a8a2ca",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " \t diferencia media logaritmica flujo cruzado LMTD: 288.850[K]\n",
      "\n",
      " \t El área del intercambiador de calor es A: 0.118[m^2]\n",
      "\n",
      " \t La longitud del intercambiador es L: 0.492[m]\n"
     ]
    }
   ],
   "source": [
    "#Calculo LTMD intercmabiador contraflujo\n",
    "delta_t_1 = T_ad - (Tw_out+273.15)\n",
    "delta_t_2 = (Tg_out) - (Tw_in+273.15)\n",
    "lmtd_cf = (delta_t_1-delta_t_2)/(mt.log(delta_t_1/delta_t_2)) #[K]\n",
    "\n",
    "#Calculo LMTD a flujo cruzado\n",
    "R_fc = (Tw_in-Tw_out)/(Tg_out-T_ad)\n",
    "P_fc = (Tg_out-T_ad)/(Tw_in-T_ad)\n",
    "F = 1 #valor asumido gráfica 11-18 Tc cengel\n",
    "lmtd = F*lmtd_cf\n",
    "print(f\"\\n \\t diferencia media logaritmica flujo cruzado LMTD: {lmtd:.3f}[K]\")\n",
    "\n",
    "#ÁREA DEL INTERCAMBIADOR DE CALOR\n",
    "A = (abs(Q_neto*1000))/(U*lmtd) #[m^2]\n",
    "print(f\"\\n \\t El área del intercambiador de calor es A: {A:.3f}[m^2]\")\n",
    "\n",
    "#longitud del intercambiador\n",
    "L_inter = A/(mt.pi*(d_o-d_i))\n",
    "print(f\"\\n \\t La longitud del intercambiador es L: {L_inter:.3f}[m]\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "52c88dc7",
   "metadata": {},
   "source": [
    "# CALCULO LONGITUD DE TUBERÍA HIDRAULICA"
   ]
  },
  {
   "attachments": {
    "tubo%20en%20espiral.png": {
     "image/png": 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    }
   },
   "cell_type": "markdown",
   "id": "497d4d94",
   "metadata": {},
   "source": [
    "![tubo%20en%20espiral.png](attachment:tubo%20en%20espiral.png)"
   ]
  },
  {
   "attachments": {
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gfFb/AIJY/D7xJMdR+H2s6l8O9VjJkggiY3lhG5OSUjdhJESR96KRcdhX2vXz3+xDrOoa98K/El7qN9c6hK3jDW1jkupmkZY1vHVUBYnCgDAHQUAfJmpaT+1n+y/uOpaZ/wALS8Lwkk3Vlv1Ihc9z8t3HheSzrOBXVfDX/goB8PfGX+jeIEufB9+mRK11+/tUIbb80qDdGM/89kjr9Da8o+L37LHwu+OWZvFnhGyudU6prFoDa38ZHQieMq5x6Eke1d9LHV6Wl7rzOKpg6NTW1n5HM6PreneItOh1DSr+11OwmG6K6s5lliceqspIP4Vdr5d8Wf8ABNjx38LdRn1v4IfEi5jkzuOl6tJ9luJBncQbiJfLnY9P38JHvXIN+1l8XPgHew6X8bPh5cRIWEa6msa2vmkn+CdS1rMQOT88P0r2aWZ0p6VFZnk1cvqR1g7n2jRXlHw2/aj+G/xRa2t9M8QRWOqXCho9M1YfZbh8nH7sN8sv1iZx716vXqxnGorxd0ebKMoO0lYKKKKsgKKKKACob6xttStJbW8t4rq1mUpJDOgdHU9QVPBH1qaigDwXXP2QfD2n6pNrfw11rVPhT4gkO5pNBfNjM3YS2bny2Uf3V2iqH/CzvjP8H/3fjzwVH8QtBi6+I/BI/wBLVP70ti2CT3PlnaMV9E0Vz+xS1g+X02+7Y39s3pNX/rueffDH4/eAvjBGy+F/EdreXyZ83TZswXkJHUNC4DjByM4xx1r0GvNvid+zr8P/AIuOLnxD4egbVlwYtYsiba+iYfdImTDHHYNke1eff8IF8cfg6d3g/wAV2/xT8PR9ND8XsIdRVR/DFeqMO3vKAB6Uc9SHxq/mv8v8rhywl8Lt6/5/8MfRVFeFeGv2vPCjatFoXjvT9S+FviN+BZ+KIfJt5T3MV0P3br/tErnsK9xtrqG8t457eVJ4JFDpLGwZXU8ggjgitI1Iz+FmcoSh8SJKKKK0ICiiigAooooAKZNDHcwvFNGssUilXjdQVYHqCD1FPooA8H+Iv7GngDxpb3B0m1/4RG7mYysumwxvYyyY+9LZSAwsf9oKr+jCvJNN8C/GT9loq/hjxLrGn+H4T8raLFLrejBR/wA99LmZri2B6tLbyTY7KtfabMFUknAHJJr53+LH7dPw1+Gt62laddTeNfEJby00/QAJl35xtaX7uc9Qu5h/dry8VhcM1zT91npYfEYhPlj7x13gD9uzxFY+H49W8feA/wC3PDWdjeN/hnMdW01CAN3n25xcWuO4kG7kfLX0j8Lfjl4A+NWmfbvBHizTPEcQXc8dpOPPiH/TSFsSR/8AAlFfmT9o/aH+JfxEs/HngH4Yj4UXok3T6ilyLK4vo+yXQlIW4XofntjjHWu7+JHwH+MPxauotYufBXwj8LeKo8OniTRbzU7HVVkxjzDLbBUZ/dlYegr594Sq37kW13tY9tYmml77SfqfoLo/xm00ftASfCb7Ddf2wfDA8U/bvl+z+QLv7N5fXdv3HPTGO9eq1+WHwb8O/tQfBP4y/wDCxtf03S/jNeQ+HG8MrC2vJa3ItDcrcD9/JCu9w6ty4JIfBPAx9Q6D/wAFEfBmnX8Gm/FHwr4o+D9/MwjS48Q2Jl06Vz2S7h3KfqwUD1rKdCrT1nFo1hWp1NIyTPq6is/QfEGl+KtIttV0XUrTV9Luk3wXtjOs0Mq+qupIYfQ1oVgbBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAGD4+8ZWPw58C+I/Fmpxzy6boOm3OqXUdqoaVooImlcICQCxVDgEgZxyK801LRvCX7UHwNtotW02S78J+MNHgvVtrtVSeOKaNZYm4LBJU3KwIJwy8E4ruPjN4LuviR8H/AB14RsZ4ba+1/Qr7SoJ7jPlxyT27xKz4BO0FwTgE4Fc58H/Bt18O/hL4J8KX00Nze6Fodjpc81vny5JILdImZcgHaSpIyAcUAeHfs3/EjX/hn42m+APxNvmvPEOnQGfwp4jn4HiHS1+6CT1uIgNrr1IXPOCzSp+8/wCCl0p7R/CRV/761gn+gr0L9pD4C2nx58ExWkF62heLtHnGpeHPEMHE2m3qco4I5KMQA69xz1CkfBuj/tGfFfXv2tL+w0zwK0fxtPguLwbdW9wMWFjdpetNLqLNz/o3lFJF9TIqjcMbgD7E/aI+P2t6f4ktPhL8J4YdY+LWsxeY0sg3Wvh60OA17dHBAIBGxDyxKnByqv2/7P3wB0P9n/wfJpthNNq+uajKb3XPEN8d13qt22S80rEk4yTtXJCg9ySTW/Z3/Z80z4DeGrtWvZvEXjDWpftviHxPfc3Op3RySxJ5WNSSETOFB7kkn1igAooooAKKKKACiiigAooooAKKKKAPmX/gol8/7OXk/wDPbxFo0f8A5PRH+lfTVfMv/BQj5/gjocP/AD28X6JH/wCTan+lfTVABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB8y/sl/vPjF+0rN6+NFj/75tYx/WvpqvmX9jv8AefEL9o+b1+IVzH/3zbwj+tfTVABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFfOH7AX7z4AzT/89/E2uS/nqEw/pX0fXzh/wT2/efsuaHP/AM99W1mX89TuR/SgD6PooooAKr6hp9rq1jPZ31rDe2c6lJbe4jEkcinqGUjBHsasUUAfKHxa/wCCa3wj+Ia3NxoFncfD7Upjvc6FtNjKw+75tlIDCwHooT618+6h+z3+1F+zH+88Jar/AMLG8L2+ALayJuHWMZJLWNw+8EnjbbTgD+7X6Y0VcKkqbvB2IlCM1aSufmx4B/4KAaZNqf8AYfxA8MX/AIZ1yJlinFnFJKY3IyQ9q6rcJgddqSAf3q+lfBPxF8MfEjTft/hfXrDXbUffaynVzGfR1HKH2YA1638UPgj4C+NGl/YPG/hPS/EcIUqj3kAM0QP/ADzlGHjPurA18f8AxI/4JefYdS/t34S+PL7QdUh+aCy16SSUIQMKkd7CVuYkH90mQeor1qWZ1I6VFc8ypl9OWsHY+h6K+LdQ+K/7Rf7MJ8v4m+E5te8OQHB1iZPtEPlgfe+3WiHYSeizQZ9Xr1b4c/tsfDbx1b2/2+/fwndSsIh/a5T7K0hGdqXcbNCT7F1b/ZFexSxtCronZ+Z5VTB1qe6uvI98oqO3uYry3jnt5UngkUMkkbBlZT0II6ipK7ziCiiigAooooAy/EnhbRvGWky6Xr2lWes6dL9+1v4Fmjb32sCM+9eHXX7KNz4FuJb/AODvjfVPh9MzGQ6JOxv9HlY8nNvISUJ/vKeOwr6ForKdOM9WtfxNI1JQ0T0PnX/hoXx98KP3Pxd+Hk406MfN4r8F776wx3aWE/vYVHqc9eBXsPgD4peEfinpf9oeE/ENhr1sAC/2SYM8eegdD8yH2YA11NeP/ED9lTwB461T+27axuPCPilSWj8QeF5zYXiserEp8rn3ZSfeo5akPhd157/f/wAD5l81Oe6s/L/I9gorzn4Q+D/H/gv+1LDxh41t/G2mr5f9l3j2Atr1R829Zyp2vj5MNjJ+Yn0r0atotyV2rGUlyuydwoooqiQrnviB8QNB+GHhS+8R+JL9NO0q0XLyNyzseFRFHLOx4Cjkmt64uIrS3knnkSGGNS7ySMFVVAySSegAr4W0+2vv2/8A413N3dvNb/BTwjceXDAjFDqc+O5Hdxye6RlVG1nY1z1qrppRirye39eRvSpqd5S0itx0F18VP29dQmNtc3Hw5+DKSGMvGT9p1RQfmHHEvTB/5ZLyP3hXNfUPwh/Z18A/A+wjh8LaDBBehNkuq3KiW9m9d0pGcH+6uF9AK9B0/T7XSLC2sbG2is7O2jWGG3gQJHGijCqqjgAAYwKsVNOgoPnlrLv/AJdiqlZyXLHSPb/PuFFFFdRzF7Tf+Wn4f1qXUNOtNXsZ7K+tYb2znUpLb3EYkjkU9QykYI9jXn+m/EqT/heT/D/7AvlHw5/b32/zTu3favI8rZjpzu3Z9sV6RQB4Bdfs++IPgxrFx4s/Z+1weDtTd/OvfB94zSaDq2OqtD/ywcjgPHjHQbck19Ffs3ftTaP8eo9R0S/02fwd8R9DAXW/COosDPb9B5sTcCaBiRiRf7wzjK5qV5B8dvg5qHi2bTPG/ga9Hh/4reGcz6LqyfKs4GS1ncdnhkGVIbpuJ6FgfFxeAjNOdJWfbuethcbKDUKjuj7aoryj9mf4+WH7RXwvtfEkNo2k61bTPp2uaLKf3um38RxNC2ecZwyk9VZc4OQPV6+ZPogooooAKKKKACiiigAooooAKKKKACuZpvxS8br8M/hl4u8YPZnUE8P6Peas1msnlmcQQvL5YbB27tmM4OM9DXOfDLxovxI+G3hPxalobBNe0m01UWjSeYYRPCkuzdgbtu/GcDOOgoA6WubX4d6BH8Q28cR2EcXiWTTTpM17Hw01v5iyKr+u1l4Pbcw+nSUUAFFFFABRRRQAUUUUAFFFFABRRWH448XW3gHwbrXiS9tb29tNJtJbyW306Az3EiopYrGg+82B049yKANyiud+HnxA0H4qeCtI8V+Gb+PUtD1SAXFtcR9weCrD+FlIKsp5BBB5FdFQB8y/t+/P8MfA0P8Az28e6FH/AOTOf6V9NV8y/t5fP4Q+FMP/AD2+JegR/wDkZz/SvpqgAooooAKKKKACiiigAooooAKKKKACiiigAooooA+Zf2Lf3niP9omb1+KGqR/98xQD+tfTVfMv7D/zzftByd2+LevL+Crbj+hr6aoAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAr5v8A+CdnzfsfeBpP+ek2qS/99andH+tfR7sI0Zj0UZNfOX/BOtSv7GPw0z1a2unP/Arydv60AfR1FFFABRRRQAUUUUAFFFFAAyhlIIyDwQa+fPix+wl8IfitcXOo/wBgN4R8QzKytrXhWT7BO27729VHlyZ770Yn1r6DooA/NjXP2Hvjt8ALiW/+E3iyPxPpas0n9n2kiaZcHjgNayB7OUAZyQI3Y9xmszw/+3J4i8B6wvh/4s+C7vStRT+P7MdNvGUcb/s1w3lyAnp5M7k9k7V+nVYXjLwJ4b+ImjSaT4o0HTfEOmSctaanapcR59QHBwfcciuqliqtH4JaHNUw9Kr8SPnDwH8dPA3xIuPsmi+ILc6qAC+k3oa1vkyM828oWTp3xj3rvK8c+KX/AATC8Ga5btJ8P9dvPBkiEvFpN+g1XSkYnJMcUx8yBif44pAVzwK8W1Dw5+0v+y+zm9sb/wASeG4OftWneZ4g0/aOADG7LfWygcli8qjspxivYpZonpVj9x5VTLXvTf3n2ZRXzJ8OP26PDXia3b+3tNlsFhBM2paK7alaRgdXlRUW5t1z3lgUf7XevoLwr4z0Hx1pSan4d1mx1ywfpcWFwsyZ9CVJwfY8169OvTrL3JXPLqUalL41Y2aKKK3MQooooAKKKKACiiigD5j/AG/PiPf+GfhNZeD9C3SeIfG16ukW8Mf32hJAlA5/iLRxH2lNeyfBP4WWHwY+GOheErDa/wBhgH2m4UYNxcN80sp7/M5J56DA7V88/EmD/hYn/BQ34eaJMDLp3hTRH1d4z0WcmQhv++vsx/4DX19XHSXPVnUfTRfr+J11PcpQguur/QKKKK7DkCiiigDndN+G9t/wt5/H/wBsm+2DQv7C+x7R5fl/aPP8zPXdkYx0xXe1S03/AJafh/WrtABRRRQB4louof8ADPP7ZmgavARb+D/i0v8AYmqxdI4tZhUtZzf70q7osDqSxNfdFfB37bWk3F1+zzrutaefL1jwxcWviHT5sZ8qa2mR93/fHmfnX274X16DxV4Z0jWrX/j21KzhvIuc/JIgdf0YV8lmFJU67a66n1GBqOpRs+mhqUUUV5h6AUUUUAFFFFABRRRQAUUUUAcv8UvBC/Ez4Y+LvB73h09PEGj3mkm8WPzDAJ4Xi8zbkbtu/OMjOOornPhj4LX4b/Dbwn4SS7OoLoOk2mlC7aPyzOIIUi37cnbu2Zxk4z1Nel1zviDRtU/sHUv7EmtP7a+zSfYf7QV/s/n7T5fm7Du2bsbtvOM45oAjorwjwno/7Wn/AAlGkf8ACTP8Fx4c+1xf2l/ZP9rfa/s28eb5PmDZ5mzdt3cZxnivor+xf+m3/jv/ANegDMoqj8QtG8Wf8Ibqn/CDS6MfFnlj7B/wkKyix37hnzfK+fG3d93vivKPhno/7Tn/AAm+m/8ACwn+Eo8H/vPtx8M/2mdQ/wBU/l+V537v/WeXu3fw7sc4oA9lorT/ALF/6bf+O/8A164v4taN8RP+ERP/AArCXwwfFHnpj/hLRcCy8nnf/wAe/wA+/pjt1zQB0NFeW/B3R/2hT4on/wCFqyfDNfDn2R/J/wCEO/tE3n2nem3d9o+Ty9vmZxznb2zXsv8AYv8A02/8d/8Ar0AZlFcZ8aNH+Lg03Tf+FSSeC21Dzm+3f8JoLsReVt+Xyvs3O7PXdxiqXwU0f42mbV/+FuyeAVh2xf2b/wAISL4tuy3m+d9p7Y2bdv8AtZ7UAegUVp/2L/02/wDHf/r15P8AGjR/joNS03/hUknw9aw8pvt3/CaC+EvmZG3yvs3G3Gc7uc0AeBa7DL+wr8VpvEVnGw+AnjO/X+2LWMEp4X1OQhRdIo+7bSnAYDhTjGMKrfX8E8d1DHNDIs0Mih0kjYMrKRkEEdQRXBfD/wAA/EDxn4B1/QvjpbeCdRbUWe1+x+E0u2s5bNowGWX7Rht+4v8Ad4xt714z8EtU1T9lj4p2fwF8calNd+ENV3SfDvxPec+bGD82lTueBNHkeX/eUgDGUUAFz9uj59P+BkP/AD2+LHh6P/x+U/0r6ar4v/4KFab8Wl8afBiHw+/gtvDUnj/Rf7F/tL7WLz+2ALgx/adnyfZMZzs/eZxivoqPxxq/wb+Cd54v+O+seF9Iv9NEkl7N4ZFwbJl3ERJEJ/3jyMNo292OBQBq/Fz4teGfgj4D1Lxd4svxY6TZL0UbpZ5D9yGJP45GPAX8TgAkeTfs6+GviL478X3vxh+JF1f+Hn1O0NpoHgKOdlg0qwZg4e6TgSXL7VJyPk6cHCplfB34PeJf2lPHGm/Gr4t2Emk6RZN53gfwHdLkadGeVvrtejXLjDKp+4MdwNva/ELR/wBqT/hMtT/4QV/hCfCe9fsH/CQ/2oL7ZtGfN8n5M7t2NvbHegD2qiq3gfRvEv8AwiOlf8JhLpQ8UeQv9o/2GspsvO/i8nzTv2em7mtz+xf+m3/jv/16AMyivA/EOj/td/2/qf8AYT/BM6J9ql+wf2gdX+0/Z958vzdg279u3dt4znHFfQul6Le/2Zaf2jNB/aHkp9p+yq3lebtG/ZuOduc4zzjFAFaitGXRX8p/KmXzMHbuXjPbPPSvmrTdH/bF/tG1/tB/gd9g81PtH2Y6x5vl5G7ZuGN2M4zxmgD6EorT/sX/AKbf+O//AF6yvFeja3/wi+r/APCMy6efEf2SX+zf7WV/sn2nYfK87yzv8vft3becZxzQA6ivDvBOj/tW/wDCW6V/wl7/AAcHhj7Qv9o/2J/axvfJ/i8nzfk3+m7ivoT+xf8Apt/47/8AXoAzKKy/iZo3jP8A4QjUv+Fey6CfGH7v7D/wkyzDT/8AWL5nm+T+8/1e/bt/i254zXmnws0f9pX/AITK1/4WQ/wpHhPZJ9o/4RX+0zfb9p8vZ5/yY3YzntnHNAHCfsK/Ppfxvm/57fFbxDJ/5EiH9K+mq+c/2BNM+1eCvipP5uPN+JfiBvu9f36jPX2r2X4xaP8AEseF4P8AhVUvhQ+I/taeb/wmIuRZ/Ztr79v2f5/M3eXjPGN3fFAHT0V5l8GdH+Pp1+9/4WzJ8N10T7Kfsv8Awhn9oG5+0b1x5n2j5dm3f05zt7Zr2D+xf+m3/jv/ANegDMorhvjVo/xjFvpP/CopPAzTbpf7S/4TUXgXbhfL8n7N3zv3bv8AZx3pPgno/wAZTHq//C3ZPAqyZi/s3/hCRekY+fzfO+09/wDV7dv+1ntQB3VFaf8AYv8A02/8d/8Ar15D8ZtH+PY1yx/4VNJ8OG0b7N/pf/CZ/bxcefub/V/Zvl2bdvXnOe1AHpdFcv8ABzR/iafC9x/wtaXwmviP7W3kf8IaLo2n2bYm3d9o+fzN/mZxxjb3zXd/2L/02/8AHf8A69AGZRXkPxU0f9pP/hMrj/hWr/Cs+FPLj8j/AISr+0hfb9o8zd5Hybd2cY5x1r0n4Y6N41/4QnTv+Fhy6CPGH7z7aPDCznT/APWN5fled+8/1ezdu/i3Y4xQBq0Vp/2L/wBNv/Hf/r18+eONH/ar/wCEu1X/AIQ5/g6fC/nt/Z39uf2qL3ye3neV8m/128UAe4UUzwjo2u/8ItpH/CTy6ePEn2SL+0v7IWT7H9p2jzPJ8w7/AC92du7nGM81rf2L/wBNv/Hf/r0AZlFfPuqaP+2H/al5/Zr/AAP/ALO85/s32o6x53lbjs37RjdtxnHGc4r6Rt9Fl+zxefMnn7R5nlqdu7HOMnpmgDD1ub7Pot/L/ct5G/JSa8K/4J/w+T+xz8Ll9dNZvznkP9a90+Immz2vw/8AE01rNH9qj0u6eLzlOzeImK7sHOM4zivjP9ivRv2lx8CfhYdHb4UL8Pms7d0+3HU/7V+xmTL52jyvN2lsfw5xmgD7aorT/sX/AKbf+O//AF6xPG2jeI/+ET1b/hEZdLPif7O39nf22sgsvOx8vneWd+zPXbzQBYorxT4f6P8AtS/8Jlpf/CcP8IB4U8w/2h/wj/8Aapvtm048rzfk3btv3uMZr37+xf8Apt/47/8AXoAzKKxfilo3jv8A4Qy7/wCFby+HT4s3x/Z/+EpE4sNu8eZv8j587c4x3xniuA+Euj/tG/8ACXL/AMLOf4XDwv5D7v8AhEv7SN753GzHn/Jt6579MUAes0Vp/wBi/wDTb/x3/wCvXAfGbR/imPD9l/wqeXwe2ufah9q/4TMXQtvs+xs7Ps/zeZu2deMbu+KAOsorzj4L6P8AHU6pqP8AwtuT4eLp3kr9h/4QsX5m83d83m/aeNu3pt5zXrX9i/8ATb/x3/69AGZRXAfGzR/jWJNH/wCFQyeAmTE39p/8JsL0HPyeV5P2b/tpu3f7OO9W/gto/wAXTp+p/wDC25PBK33mp9g/4QsXhi8vB3+b9p53ZxjbxjNAHaUVp/2L/wBNv/Hf/r1438ZNH/aDHii2/wCFUSfDRvDv2NfP/wCEy/tAXf2re+7b9n+Ty9nlYz82d/bFAFX4ufso/C342XH27xL4Utf7cUho9d00tZ6hGw+6wniKsSOwYke1fKHjv/gnb468E6tLr/w38YJ4mnHIj1ed9L1rGecalbYFw56f6SjIPSvuj4R6N8Rf+ETP/C0JfC48T/aH/wCRRFybLycDZ/x8fPvzuz26Yrtf7F/6bf8Ajv8A9emm07oW+jPyuX9ob4pfBPUItM+IVjcae7SCNLXx1aC0EvolvrFojWs5x1aWKIerV7Nof7VnhCSzs5vFMN94IF0QsN5qiLLplw3Q+TqEDSW0gz38wfSvavjJ4Q/aM17xNrGn+DrX4Pal4BuEjSC28ZRajJdyDy180TJEDER5m/AH8O3POa4PSf8Agndav4Yg1Wz1pPhD8R7qNv7V/wCFcyTHQLl9zbVaxuSVkj2bMoQoJz2r0KWPr09G7rzOGpgqNTW1n5HYaXq1jrljFe6deW+oWcozHcWsqyRuPUMpINWq+YfE/wCy18SPg/qE2oah8PE8VWROZPFfwTvn0DWAvd5tKz9mnc/3UQ+5615PH8bvjFJ/bf8Awh/xP8N+Ip9JupBbeDPEmkz23iueLd+7hltRaxrLMF27hA7ck/Ma9SGaU38cWjzZ5bNfA7n3tRXnfwR+MOm/F3wXp18Lqxi8RrbRnV9Ggl/fafc4HmRvG2HTDZHzD8T1rrfGF1r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    }
   },
   "cell_type": "markdown",
   "id": "b01f4933",
   "metadata": {},
   "source": [
    "![tubo%20espiral.jpg](attachment:tubo%20espiral.jpg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "cf0163df",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1356.386[K] -:1\n",
      "1229.739[K] -:2\n",
      "1127.966[K] -:3\n",
      "1041.713[K] -:4\n",
      "966.628[K] -:5\n",
      "899.884[K] -:6\n",
      "839.579[K] -:7\n",
      "784.399[K] -:8\n",
      "733.421[K] -:9\n",
      "686.003[K] -:10\n",
      "641.713[K] -:11\n",
      "600.286[K] -:12\n",
      "561.592[K] -:13\n",
      "525.617[K] -:14\n",
      "492.435[K] -:15\n",
      "462.185[K] -:16\n",
      "435.034[K] -:17\n",
      "411.143[K] -:18\n",
      "390.619[K] -:19\n",
      "373.476[K] -:20\n",
      "359.616[K] -:21\n",
      "351.320[K] -:22\n",
      "344.319[K] -:23\n",
      "\n",
      " \t La cantidad de espiras del intercambiador son:23 \n",
      "\n",
      " \t La longitud del tubo es aproximadamente:8.252 metros\n"
     ]
    }
   ],
   "source": [
    "#flujo volumetrico = 60L/h\n",
    "#calculo calor de convección\n",
    "e_s = 0.8 #emisividad de superficie\n",
    "m_dot_gas =0.7089 #flujo másico de gas total prod [Kg/h]\n",
    "h_t = 7.267 #coef.tc convectivo [W/m^2*K]\n",
    "A_s = 0.014 #área superficial de 1 espira [m^2]\n",
    "e_c_a = 0.018 #gráfica 13-36 @1500K Pc*L*(Ts/Tg)\n",
    "e_w_a = 0.028 #gráfica 13-36 @1500K Pc*L*(Ts/Tg)\n",
    "e_c = 0.025 #gráfica 13-36 @1500K Pc*L=0.025\n",
    "e_w = 0.016 #gráfica 13-36 @1500K Pw*L=0.045\n",
    "rad = 0.0571 #[m] #radio de la espira vista frontal\n",
    "perimetro_tubo = 2*mt.pi*rad  #perimetro de cada espira [m]\n",
    "\n",
    "cont = 0\n",
    "Tlist = []\n",
    "X_axis = []\n",
    "\n",
    "while T_gas>350:\n",
    "    Tlist.append(T_gas)\n",
    "    delta_tt = Tw_sup - T_gas #[K]\n",
    "    Q_conv = h_t*A_s*delta_tt #calor convectivo [W]\n",
    "    h_t-=0.5\n",
    "\n",
    "#calculo calor de radiación\n",
    "    e_gas = C_c*e_c + C_w*e_w\n",
    "    \n",
    "    alpha_c=C_c*(T_gas/Tw_sup)**0.65*(e_c_a)\n",
    "    alpha_w=C_w*(T_gas/Tw_sup)**0.45*e_w_a\n",
    "    \n",
    "\n",
    "    alpha_g =alpha_c+alpha_w\n",
    "    Q_rad = ((e_s+1)/2)*A_s*stfb*(e_gas*T_gas**4-alpha_g*Tw_sup**4) #[W]\n",
    "\n",
    "    Q_total = Q_rad + Q_conv #[W]\n",
    "\n",
    "    Cp_CO2 = CP.PropsSI('CPMASS', 'T', T_gas, 'P', 101325, 'CO2')/1000 #[Kj/Kg*K]\n",
    "    Cp_H2O = CP.PropsSI('CPMASS', 'T', T_gas, 'P', 101325, 'H2O')/1000 #[Kj/Kg*K]\n",
    "    Cp_N2 = CP.PropsSI('CPMASS', 'T', T_gas, 'P', 101325, 'N2')/1000 #[Kj/Kg*K]\n",
    "    Cp_gas =Cp_CO2*gn_p[\"CO2\"] +Cp_H2O*gn_p[\"H2O\"]+Cp_N2*gn_p[\"N2\"] #[Kj/Kg*K]\n",
    "    \n",
    "    #sumo esa cant aproximada debido a que los valores de emisividad y absortividad\n",
    "    #aumentan segun disminuye la temperatura de los gases\n",
    "    e_c_a +=0.005\n",
    "    e_w_a +=0.005\n",
    "    e_c+=0.005\n",
    "    e_w+=0.005\n",
    "    \n",
    "    #calcula la temperatura de salida de los gases\n",
    "    T_gas_out = T_gas-((Q_total*3600)/(m_dot_gas*Cp_gas*1000)) #[K]\n",
    "    \n",
    "    #igualo la temperatura de salida de los gases a la T_gas para que tome esa temperatura de salida\n",
    "    #de los gases como la nueva temperatura de entrada de nuevo al ciclo y siga evaluando \n",
    "    #hasta q se cumpla la condición que me saque del ciclo \n",
    "    T_gas = T_gas_out\n",
    "    ##\n",
    "    cont +=1\n",
    "    print(f\"{T_gas:.3f}[K] -:{cont}\") \n",
    "    \n",
    "L_tubo = (cont)*perimetro_tubo #sumo una espiras extra [m]\n",
    "print(f\"\\n \\t La cantidad de espiras del intercambiador son:{cont} \")\n",
    "\n",
    "print(f\"\\n \\t La longitud del tubo es aproximadamente:{L_tubo:.3f} metros\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4a2c6b9f",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "d0f107d2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\t Área del Intercambiador:0.118[m^2]\n",
      " \t Longitud Intercambiador(Sección anular):0.492[m]\n",
      "     \t Longitud tubería agua: 8.252[m]\n",
      " \t Número de espiras: 24\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, '#Espiras')"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "showSize()\n",
    "for i in range(1,len(Tlist)+1):\n",
    "    X_axis.append(i)\n",
    "\n",
    "mp.plot(X_axis,Tlist,'blue')\n",
    "mp.axis([-1,30,300,1600])\n",
    "mp.ylabel(\"Temperatura[K]\")\n",
    "mp.xlabel(\"#Espiras\")"
   ]
  },
  {
   "attachments": {
    "jk%20calorimeter.jpg": {
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3UdI0aM3ce+KOO88RX7KWPnuFxb26sdoiQc454GD9mbRRsBzQB8Ur/wAE7/Cl7IIdS8E+FES//wBP1i60+1WIhlP7vTrFCv7iLH35zl2z2z8sq/8ABPDwpqFqDdeDPB2n6hrT7dSns7FWi0azUfLb2MbLh5m6NcSc5yQOgr7R2ijYBQB8Z6l/wT58ISXNzdab8PvBdkbdxpujWU1r50NrbE4e/uiRuurggZWNjsXIyScmmy/8E9vA1nN5dn8O/DN7pmhRBtNt7sKLjXbxly019ME/dwozNiGMc4PQbVr7O2jpRtFAHxjN/wAE6/BLW1ppkng3wxcQ3RfUNc1eGzSG4nlB+SxskxttYT0MmS20f3iWESf8E9vC93bqJ/Ang+y1HXGC6jeW1ojQ6FaJjbBZRMv7yduhuJO+TjGFr7T2CjaKAPjL/hgXwlCt3qdr8MvBY1CP/iWaJpFzCJLSzt9203142N11OVG7ZwBkLnJLVXh/4J6eDdJ82Rfh34a1q30VS+nWc6RxTa7eOBuuLyULiKBCzbbeMYwuTngV9rbRSBcUAfGNv/wTv8Gz3FtpmoeC/CzafK39o6zq1pZJHPdTZ+WxtEx/o1uoAy+S7DuCSRWf/gn/AOHtamFxc/D/AMHaJc61+6u/sdpHJFoFkvIitkK/v7qTOGnf5V5wpAAP2xtFJsHFAHxbH/wT78LNBNew/D3wZZajMw0zT7Sa1FxbaTZDIa7k4Bu7tgqn5iFBYDoGJfff8E9vBNnJt0z4d+E7jT9EjVNKtb5cy6vdNgPdahMFyIk3MwgQfNtOcDao+z9g/CjYKAPjCP8A4J3+B4ZYNNl8DeHb3S7Yf2lqGo/Z44rzWrzJYWkQC7bO2BAB25YjAH8TEP8AwT58LXNign8DeDrTV9fk/wCJrfW1ghh0K1UDbBYQlcPK2SpmfvliPurX2fsFG0UAfEP/AA7w8NapdQ58B+E9Bt7jfYAQwLcNpVihGJF3L/pF7Nj/AFr/ACxDOFY8nTX/AIJ/+D4ftupW3w28Fi9gA07Q9HuIPMtbaHeFa9vHxuuZyo3bOFHCjklq+y9gNGwUAfFkH/BPPwTpDTSD4feGdatdFQzafZ3CLFLrl84y015KFxFApJCW6Dbgc54FSw/8E6/BUrWunX3g7wxJaXDf2lrWrWtkkU9xNn5bCzjxi1twFGXyXYHsSWH2dtFGwUAfFMn/AAT78N61J59x4C8G6NdawTDctZ2aSRaFYryI7ZCuJ7qTPzTvwmDtXgAzr/wT68KeRNeW/gDwbY6i5Gm6dbTW32i30uyBIa7kyAbu7YAEbsKpIHQEn7P2CgoDQB8Z3v8AwTy8DWTCPTPh94UudP0SFf7Kt7+PM2r3jL81xfzKuREhJIhThiDnAwtJH/wTp8BxG206fwX4dvdNiX+0tT1JbZIrzVrwkkWkQA22lsCBnbliCB/eY/Zu0UbRQB8Xj/gnv4Vu9NHneCPBtnrWuy/8TS8t7BGg0O1A4gsISuHlOcedJ3y2MBVEK/8ABPvwxBA93a/DnwbDqEjDTNOtLmAT22kWeTuvJsjdeXTYBwxCgsAOASftbyx1o2DOaAPjKD/gnz4G0yWWWL4ceGNTs9BiK6Pp1yEWXWroqN1zfzhPlQEnbCgxwSeyiK1/4J2+ClmEGpeCPDN/Zxj+1L+aztUt5tUvOSljAMYtLRNqgnJd88kfMT9pbBnPNG0UAfFX/Dvvw5qcKJd+BPBum3mvPv1W8s7GMx6HbKBttLCMr88zbjuuH7gnb90V13gX9gr4ZR+Kn1vXPhv4YsLPT82uj6LaWyygRqcC6uZSMyzPjIHRB6tkj6nCgUoULQAkcawxqiDaijAA7AU6iigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA//Z"
    }
   },
   "cell_type": "markdown",
   "id": "e56fd591",
   "metadata": {},
   "source": [
    "![jk%20calorimeter.jpg](attachment:jk%20calorimeter.jpg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "ca9cddbd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(48080.41056001223, 3.470851212352507)"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fHHV(1.5,1,25.5,30.5)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}