// Display mode mode(0); // Display warning for floating point exception ieee(1); clear; clc; disp("Introduction to heat transfer by S.K.Som, Chapter 10, Example 7") //Water enters a cross flow heat exchanger (both fluids unmixed) at temprature(Tci)=20°C amd flows at a mass flow rate of mdotw=7kg/s Tci=20; mdotw=7; //The air flows at a mass flow rate of mdota=10kg/s from Temprature(Thi)=125°C mdota=10; Thi=125; //The overall heat transfer coefficient(U)=220W/(m^2*K)and Area(A)=250m^2. U=220; A=250; //The specific heat of air (cpa=1.01kJ/(kg*K)) and water is (cpw=4.18kJ/(kg*K)) cpa=1.01; cpw=4.18; //Cair and Cwater are heat capacities of air and water respectively Cair=mdota*cpa; Cwater=mdotw*cpw; //C=Cmin/Cmax Cmin=min(Cwater,Cair); Cmax=max(Cwater,Cair); C=Cmin/Cmax; //NTU is number of transfer units //NTU=(U*A)/Cmin disp("NTU is defined as (U*A)/Cmin ") NTU=(U*A)/(Cmin*1000) //To determine the effectiveness of heat exchanger we have to find out the suitable expression //For this type of heat exchanger The effectiveness(eff)is determined by (1-e^[(NTU^.22*{e^-(C*NTU^0.78)-1})/C]) disp("The effectiveness of heat exchanger is") eff=(1-%e^[(NTU^0.22*{%e^(-C*NTU^0.78)-1})/C]) //Hence The total heat transfer rate(Q)=eff*Cmin*(Thi-Tci)in W. disp("The total heat transfer rate(Q)=eff*Cmin*(Thi-Tci) in W") Q=eff*Cmin*1000*(Thi-Tci) //The exit temprature(Tho) of air is given by Thi-(Q/(mdota*cpa)) disp("The exit temprature of air in °C ") Tho=Thi-(Q/(mdota*1000*cpa))//NOTE:-The answer slightly varies from the answer in book(i.e Tho=26°C) because the value of Q taken in book is approximated to 1*10^6W.