in this paper, free convection in an inclined stepped chamber has been studied. one wall of this enclosure is kept cold and the opposite wall equipped with constant heat source. the remaining walls are maintained adiabatic. there is one adiabatic step on the bottom wall. the aim of the present study is to forecast the effect of raleigh number, slope of enclosure, step dimension, and heat source...

application of feed pellets in animal and aquatic farming industries has grown because of both the physical and the nutritional benefits it provides. development of feed pellets manufacturing industry is also considerable. steam conditioning process, which plays an important role in pelleting production, includes heating feed particles, adding moisture, and mixing the mash. pellets cooling and ...

The aim of this paper is to solve an important inverse source problem which arises from the well-known scattering problem. We propose truncate Fourier series solution governing equation with respect a special basis L ...

The titled problem of coupled thermoelasticity for porous structure has been solved with an instantaneous heat source acting on a plane area in an unbounded medium. The basic equations of thermoelasticity, after being converted into a one-dimensional form, have been written in the form of a vector-matrix differential equation and solved by the eigenvalue approach for the field variables in the ...

This paper presents a fractional mathematical model of a one-dimensional phase-change problem (Stefan problem) with a variable latent-heat (a power function of position). This model includes space–time fractional derivatives in the Caputo sense and time-dependent surface-heat flux. An approximate solution of this model is obtained by using the optimal homotopy asymptotic method to find the solu...