.... This paper presents a solution for a one-dimensional (1D) phase change problem with time-dependent heat flux boundary condition using the perturbation method. Two different expressions for propagation of the phase change front are derived. For the special case of constant heat flux, the present solution...

... are presented. The solutions obtained are also compared with that of results obtained by finite difference method. mixed convection hydromagnetic convection magnetic and viscous dissipation electrical conductivity perturbation method Buoyancy induced flows draw wide attraction due...

... in the porous region was modeled using the Brinkman–Forchheimer extended Darcy model. To solve governing equations of both the porous and viscous regions including thermal energy and momentum equations, a two-parameter perturbation method was applied. The velocity and temperature distributions of both...

...Messaoud Guellal; Hamou Sadat; Christian Prax A perturbation method is used to solve an unsteady one-dimensional heat conduction problem in a cylinder. A simple second order explicit solution is obtained. It is shown that this solution is accurate even for high values of the Biot number in a region...