Chapter 2 Heat Conduction Equation2-39C We try to avoid the radiation boundary condition in heat transfer analysis because it is a non-linear expression that causes mathematical difficulties while solving the problem; often making it impossible to obtain analytical solutions. 2-40 A spherical container of inner radius , outer radius , and thermal conductivity k is given. The boundary condition on the inner surface of the container for steady one-dimensional conduction is to be expressed for the following cases: r1r2r1r2(a) Specified temperature of 50°C: Tr()150=°C (b) Specified heat flux of 30 W/m2towards the center: kdT rdr130=W/m2(c) Convection to a medium at with a heat transfer coefficient of h: T∞kdT rdrhTrT[()]11=−∞2-41 Heat is generated in a long wire of radius covered with a plastic insulation layer at a constant rate of . The heat flux boundary condition at the interface (radius
This is the end of the preview. Sign up
access the rest of the document.
This note was uploaded on 01/14/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.