// 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 - 1 Example # 1.12 ") // total length of metal sheet in m L = 0.625/39.4; // we estimate the thermal conductivity of the metal sheets to be approximately 43 W/m K k = 43; // therefore the resistance in K/W offered by metal sheey R = L/k; //heat loss in W/m2 is given as q = 1200; // overall heat transfer coefficient between the gas and the door is given // in W/m2K U = 20; //The temperature drop between the gas and the interior surface of the door at the specified heat flux is deltaT1 = q/U; //Hence, the temperature of the Inconel will be in degree C T = 1200-deltaT1; //The heat transfer coefficient between the outer surface of the door and //the surroundings at 20°C in W/m2K h = 5; //The temperature drop at the outer surface in degree C is deltaT2 = q/h; //Selecting milled alumina-silica chips as insulator (Fig 1.31 on page 48) // Hence, temperature difference across the insulation is deltaT3 = T-deltaT1-deltaT2; //thermal conductivity for milled alumina-silica chips in W/mK is k = 0.27; disp("The insulation thickness in m is") //The insulation thickness in m L = (k*deltaT3)/q