Analytical/numerical solution of heat conduction in a rectangular rod subjected to an N-cascade wall temperature
Conference
Ebadian, MA, Yih, TC. (1989). Analytical/numerical solution of heat conduction in a rectangular rod subjected to an N-cascade wall temperature
. American Society of Mechanical Engineers (Paper), HT5-HT7.
Ebadian, MA, Yih, TC. (1989). Analytical/numerical solution of heat conduction in a rectangular rod subjected to an N-cascade wall temperature
. American Society of Mechanical Engineers (Paper), HT5-HT7.
An analytical/numerical method is employed to obtain the solutions for the steady state heat conduction in a rectangular homogeneous rod of infinite length. The rod is composed of an isotropic heat conducting material and is subjected to a multi-cascade wall condition with no heat source or heat sink. By using the Fourier integral transform, the temperature field in the rectangular rod is obtained either analytically or numerically, using an eigenvalue subroutine or a Runge-Kutta subroutine, respectively. In the case of a single cascade, the temperature variations in the transverse direction are plotted at various longitudinal sections along with the temperature variations for various points in the transverse coordinate. Also, for the same wall temperature condition, the generating lines of axisymmetric isothermal surfaces are plotted. The wall heat flux variation along the longitudinal direction is obtained and plotted against the longitudinal coordinate.
