// Display mode mode(0); // Display warning for floating point exception ieee(1); clc; disp("Principles of Heat Transfer, 7th Ed. Frank Kreith et. al Chapter - 2 Example # 2.13 ") //Thickness of wall in m L = 0.5; //Initial temperature in degree C Ti = 60; //Combustion gas (Surrounding) temperature in degree C Tinfinity = 900; //Heat transfer coefficient in W/m2K h = 25; //Thermal conductivity in W/mk k = 1.25; //Specific heat in J/KgK c = 837; //Density in kg/m3 rho = 500; //Thermal diffusivity in m2/s alpha = 0.000003; //Required temperature to achieve in degree C Ts = 600; //Calculating temperature ratio z = (Ts-Tinfinity)/(Ti-Tinfinity); //Reciprocal biot number bi = k/(h*L); //From Fig. 2.42(a) we find that for the above conditions the Fourier number= 0.70 at the midplane. //Time in hours t = ((0.7*L)*L)/alpha; disp("Time in hours is") //Time in hours t = t/3600 //The temperature distribution in the wall 16 h after the transient was //initiated can be obtained from Fig. 2.42(b) for various values of x/L disp("Temperature distribution in degree C is") disp(" (x/l) = 1.00 0.80 0.60 0.40 0.20") disp("Fraction = 0.13 0.41 0.64 0.83 0.96") //The heat transferred to the wall per square meter of surface area during //the transient can be obtained from Fig. 2.42(c). disp("Heat transfer in J/m2 is") //Heat transfer in J/m2 Q = ((c*rho)*L)*(Ti-Tinfinity)