Computational modeling of heat transfer in an annular porous medium solar energy absorber with the P1-radiative differential approximation

Abstract

SummaryWe study the (R) and axial (X) direction. A numerical finite difference (FTCS) scheme is used to compute the velocity (U,V), temperature () and dimensionless zero moment of intensity (I0) distributions for the effects of conduction-radiation parameter (N), Darcy parameter (Da), Forchheimer parameter (Fs), Rayleigh buoyancy number (Ra), aspect ratio (A) and Prandtl number (Pr). The computations have shown that increasing aspect ratio increases both axial and radial velocities and elevates the radiative moment of intensity. Increasing Darcy number accelerates both axial and radial flow whereas increasing

Numerical computation of nonlinear oscillatory two‐immiscible magnetohydrodynamic flow in dual porous media system: FTCS and FEM study

“…This approach is generally quite efficient and further elaboration is given by Hoffmann and Chiang . Further details for other nonlinear multiphysical problems have been documented elsewhere …”

“…33 Further details for other nonlinear multiphysical problems have been documented elsewhere. [34][35][36][37][38]…”

Lie symmetry analysis and numerical solutions for thermosolutal chemically reacting radiative micropolar flow from an inclined porous surface

“…This is a reasonable approximation for optically thick micropolar flows, as considered here. This approximation however cannot simulate variation in optical thickness, which requires a more sophisticated flux model—see Bég et al R arises in the augmented thermal diffusion term, in the heat conservation Equation . Increasing R serves to energize the boundary layer and elevates the input of thermal energy, which is scaled with a cubic variation in free stream temperature for thermal radiation compared with the linear variation for thermal conduction.…”

Solving a Sequence of Recurrence Relations for First-Order Differential Equations

“…These problems include thermodynamic analysis models (Sheng & Tu, 2013;Bolatturk, 2006;Kalema et al, 2008;Stepanov et al, 2000;Valero, 2014;Torío et al, 2009;Romero & Linares, 2014), heat power system models (Goryachikh et al, 2010;Kicsiny, 2014;Bau et al, 2015;Kicsiny, 2017), combustion models (Messerle et al, 2013;Messerle et al, 2014;;Gao et al, 2010;Karpenko et al, 2016), local heat exchange system models (e.g., solar collectors (Kaminski & Krzyzynski, 2016;Hussain et al, 2016;Bég et al, 2016;Li & Chen, 2008;Smith et al, 2012;Thianpong et al, 2012), etc.…”