This work examines the volumetric effect of convection within a packed bed in the presence of collimated irradiation. Using a modified P-1 approximation incorporating a local thermal nonequilibrium (LTNE) model, the energy transportation through convection and thermal conduction, and collimated and diffuse radiative transfer are investigated. The impact of pertinent parameters such as porosity ...

This paper provides a comprehensive study on the heat transfer and entropy generation rates in a channel partially filled with a porous medium and under constant wall heat flux. The porous inserts are attached to the walls of the channel and the system features internal heat sources due to exothermic or endothermic physical or physicochemical processes. Darcy-Brinkman model is used for modellin...

The two-field thermal conditions of local nonequilibrium (LTNE) were used to investigate linear stability convection in a liquid-saturated, porous layer via the extended Brinkman–Darcy model for different non-uniform basic gradients. critical values numerically computed by Galerkin method rigid isothermal boundaries. impact LTNE and forms temperature gradients on onset was examined. porosity mo...

This work aims to provide a comprehensive study on the heat transfer and entropy generation rates of a horizontal channel partially filled with a porous medium which experiences internal heat generation or consumption due to exothermic or endothermic chemical reaction. The focus has been given to the local thermal nonequilibrium (LTNE) model. The LTNE approach helps us to deliver more accurate ...

Thermal conditions at the porous-fluid interface under local thermal nonequilibrium (LTNE) conditions are analyzed in this work. Exact solutions are derived for both the fluid and solid temperature distributions for five of the most fundamental forms of thermal conditions at the interface between a porous medium and a fluid under LTNE conditions and the relationships between these solutions are...

A mathematical model is proposed to describe the flow, heat, and mass transfer behaviour of a non-Newtonian (Jeffrey Oldroyd-B) fluid over stretching sheet. Moreover, similarity solution given for steady two-dimensional flow subjected Buongiorno’s theory investigate nature magnetohydrodynamics (MHD) in porous medium, utilizing local thermal non-equilibrium conditions (LTNE). The LTNE based on e...

The domination by Local Thermal Non-Equilibrium (LTNE) with regard to the onset of Darcy-Rayleigh-Benard-Marangoni (DRBM) convection swayed magnetic field in a composite layer set-up is studied pertinent incompressible fluid. precinct above fluid presumed be free and that below porous rigid. Regular perturbation technique exercised on acquired problem achieve analytical solution taking adiabati...

The unprecedented rise in long-term unemployment (LTU) during the Great Recession has raised the question whether LTU contributed to the persistent decline in the aggregate employment rate. An important difficulty in evaluating this question is that standard measures do not capture the duration of joblessness for the rising number of nonemployed workers not formally classified as unemployed in ...

In many regions, water infiltration into frozen soil is a critical process. Frozen known to have substantially reduced capacity, resulting in surface runoff. This runoff often associated with erosive behavior posing potential natural hazard as it facilitates snow avalanches and debris flow, especially springtime when rainfall snowmelt coincide. As capacity depends on the ice content within poro...

Onset of Double Diffusive Rayleigh-Benard-Magneto (DDRBM) convection is studied for a double layered system composed incompressible fluid confined by adiabatic rigid peripheries under the governance Local Thermal Non-Equilibrium (LTNE). Result acquired problem obtained analytically through mode Regular Perturbation. Consequence physical factors such as solid phase thermal expansion ratio, diffu...