Heat conduction in a slab subjected to an N-cascade wall temperature on both its surfaces
Conference
Ebadian, MA, Topakoglu, HC, Arnas, OA. (1988). Heat conduction in a slab subjected to an N-cascade wall temperature on both its surfaces
. American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD, 96 267-272.
Ebadian, MA, Topakoglu, HC, Arnas, OA. (1988). Heat conduction in a slab subjected to an N-cascade wall temperature on both its surfaces
. American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD, 96 267-272.
Steady state heat conduction in a slab of infinite dimensions subjected to a multi-cascade wall conditions on both of its surfaces is analyzed. The slab material is considered as a homogeneous, isotropic heat conducting material with no heat source or sink. By using the Fourier integral transform, the temperature field in the slab is obtained. In the case of a single cascade, the temperature variations in the thickness direction for various longitudinal sections (these sections are located parallel to the lines of dicontinuity of the applied wall temperatures at different distances) are plotted along with the temperature variations in the longitudinal direction for various points in the thickness direction. Also, for the same wall temperature condition, the generating lines of isothermal surfaces which are cylindrical are plotted. The wall heat flux variation is presented along the longitudinal direction. To represent the total heat flow, a dimensionless heat flow coefficient at the cross section formed by the lines of discontinuity of applied wall temperatures is defined and its value is calculated. The procedure for obtaining the temperature field for a multi-cascade wall temperature case is also discussed.
