// 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 - 7 Example # 7.2 ") //Diameter of wire in m D = 0.000025; //Length of wire in m L = 0.006; //Free stream temperature of air in degeee C T = 20; //Wire temperature to be maintain in degree C Tw = 230; //Resistivity of platinum in ohm-cm Re = 0.0000171; //Since the wire is very thin, conduction along it can be neglected; also, the temperature gradient in the wire at any cross section can be disregarded. //At freestream temperature, for air: //Thermal conductivity in W/mC k = 0.0251; //Kinematic viscosity in m2/s nu = 0.0000157; //Reynolds number at velocity = 2m/s Rey = (2*D)/nu; if Re<40 then //Using the correlation equa-tion from Eq. (7.3) and Table 7.1 //Average convection heat transfer coefficient as a function of velocity //is //hc=799U^0.4 W/m2C //At this point, it is necessary to estimate the heat transfer coefficient for radiant heat flow. //According to Eq. (1.21), we have approximately //hr=sigma*epsilon*((Ts+Tinfinity)^3)/4 //The emissivity of polished platinum from Appendix 2, Table 7 is about 0.05, so hr is about 0.05 W/m2C. //The rate at which heat is transferred from the wire is therefore //0.0790U^4 W. //The electrical resistance of the wire in ohm is R = ((Re*L)*4)/(((100*%pi)*D)*D); end; //A heat balance with the current i gives disp("Current in ampere as a function of velocity is") disp("i=0.19*U^0.2")