// 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 # 2.4 ") //Temperature of liquid nitrogen in degree K Tnitrogen = 77; //Radius of container in m ri = 0.25; //Temperature of surrounding air in degree K Tinfinity = 300; //Thermal conductivity of insulating silica powder in W/mK k = 0.0017; //Outer radius of container with insulation in m ro = 0.275; //Latent heat of vaporization of liquid nitrogen in J/kg hgf = 200000; //convection coefficient at outer surface in W/m2K hco = 20; //Calcaulting heat transfer to nitrogen q = (Tinfinity-Tnitrogen)/(1/((((4*%pi)*ro)*ro)*hco)+(ro-ri)/((((4*%pi)*k)*ro)*ri)); disp(" rate of liquid boil-off of nitrogen per hour is") //rate of liquid boil-off of nitrogen per hour m = (3600*q)/hgf