... and numerical solutions for the evolution of the dimensionless temperature profile are obtained. For large slab thicknesses, the results using fractional order derivatives match the semi-infinite domain solution for Fourier numbers, F o ∊ [ 0 , 1 / 16 ] . For thinner slabs, the fractional order solution matches...

...A. F. Emery; H. Dillon; A. M. Mescher The nominally one-dimensional conduction of heat through a slab becomes two dimensional when one of the surfaces is rough or when the boundary conditions are spatially nonuniform. This paper develops the stochastic equations for a slab whose surface roughness...

...Jianhua Zhou; Yuwen Zhang; J. K. Chen; Z. C. Feng The inverse heat conduction problem (IHCP) in a one-dimensional composite slab with rate-dependent pyrolysis chemical reaction and outgassing flow effects is investigated using the iterative regularization approach. The thermal properties...

... number by varying the geometry of the solid slab. Different step length, step height, and slab thickness are considered for conjugate heat transfer study. The bulk mean property in terms of the average Nusselt number ( Nu ¯ ) are presented in Tables 1 2 3 . When length of the step...

... to the spatiotemporal heat conduction in a large slab when a time-variable heat flux is prescribed at an exposed surface and the other surface is thermally insulated. Two different heating waveforms are studied: a constant heat flux and a time-dependent triangular heat flux. The numerical temperature-time history...

...K. Ramadan; M. A. Al-Nimr The thermal behavior of a multilayered slab in imperfect contact using the dual-phase-lag heat conduction model is numerically analyzed, considering a range of heat flux-phase lag, temperature gradient-phase lag, and thermal contact resistance. Wave reflections from both...

...S. K. Sahu; P. K. Das; S. Bhattacharyya The effect of precursory cooling on conduction-controlled rewetting of both slab and solid cylinder is analyzed by the heat balance integral method. A constant heat transfer coefficient is assumed in the wet region behind the wet front, while an exponentially...

... of two-dimensional geometries applicable to steady-periodic thermal-property techniques. The method of Green’s functions is used to systematically treat rectangles, slabs (two dimensional), and semi-infinite bodies. Several boundary conditions are treated, including convection and boundaries containing...