TY  - JOUR
AU  - Biradar, Mahadev
PY  - 2026
DA  - 2026/09/19
TI  - MHD Double-Diffusive Convection in a Darcy--Forchheimer Porous Wavy Cavity with Radiation and Viscous Dissipation: A Finite Element Study
JO  - Journal of Numerical Simulations in Physics and Mathematics
T2  - Journal of Numerical Simulations in Physics and Mathematics
JF  - Journal of Numerical Simulations in Physics and Mathematics
VL  - 2
IS  - 2
SP  - 117
EP  - 129
DO  - 10.62762/JNSPM.2026.403753
UR  - https://www.icck.org/article/abs/JNSPM.2026.403753
KW  - MHD
KW  - double-diffusive convection
KW  - Darcy–Forchheimer
KW  - porous medium
KW  - radiation
KW  - viscous dissipation
KW  - wavy cavity
KW  - finite element method
AB  - This paper investigates the combined effects of magnetohydrodynamics (MHD), double-diffusive convection, radiative heat transfer, and viscous dissipation in a porous wavy cavity. The Darcy–Forchheimer model and Rosseland approximation are employed; the dimensionless governing equations are solved using the Galerkin finite element method with triangular elements. Key quantitative findings include: the Hartmann number suppresses convective transport, reducing average Nusselt and Sherwood numbers by up to 59% at $Ha=50$; the radiation parameter $N_1$ enhances heat transfer by 169% as $N_1$ varies from 0.01 to 10; viscous dissipation paradoxically reduces wall heat flux by 33% despite increasing bulk fluid temperatures; and wavy walls improve heat/mass transfer by 25--30% compared to flat walls. Parametric analysis ranks $Ra$ as the most influential parameter (+511% effect), followed by $Ha$ (-59%), $N_1$ (+169%), $Ec$ (-33%), and $Le$ (+17%). These results provide quantitative guidance for designing MHD-based thermal management systems, nuclear reactor cooling, and material processing equipment where multiple transport mechanisms coexist.
SN  - 3068-9082
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  - 

@article{Biradar2026MHD,
  author = {Mahadev Biradar},
  title = {MHD Double-Diffusive Convection in a Darcy--Forchheimer Porous Wavy Cavity with Radiation and Viscous Dissipation: A Finite Element Study},
  journal = {Journal of Numerical Simulations in Physics and Mathematics},
  year = {2026},
  volume = {2},
  number = {2},
  pages = {117-129},
  doi = {10.62762/JNSPM.2026.403753},
  url = {https://www.icck.org/article/abs/JNSPM.2026.403753},
  abstract = {This paper investigates the combined effects of magnetohydrodynamics (MHD), double-diffusive convection, radiative heat transfer, and viscous dissipation in a porous wavy cavity. The Darcy–Forchheimer model and Rosseland approximation are employed; the dimensionless governing equations are solved using the Galerkin finite element method with triangular elements. Key quantitative findings include: the Hartmann number suppresses convective transport, reducing average Nusselt and Sherwood numbers by up to 59\% at \$Ha=50\$; the radiation parameter \$N\_1\$ enhances heat transfer by 169\% as \$N\_1\$ varies from 0.01 to 10; viscous dissipation paradoxically reduces wall heat flux by 33\% despite increasing bulk fluid temperatures; and wavy walls improve heat/mass transfer by 25--30\% compared to flat walls. Parametric analysis ranks \$Ra\$ as the most influential parameter (+511\% effect), followed by \$Ha\$ (-59\%), \$N\_1\$ (+169\%), \$Ec\$ (-33\%), and \$Le\$ (+17\%). These results provide quantitative guidance for designing MHD-based thermal management systems, nuclear reactor cooling, and material processing equipment where multiple transport mechanisms coexist.},
  keywords = {MHD, double-diffusive convection, Darcy–Forchheimer, porous medium, radiation, viscous dissipation, wavy cavity, finite element method},
  issn = {3068-9082},
  publisher = {Institute of Central Computation and Knowledge}
}