Coupled Thermal Radiation-Viscous Dissipation Interaction in MHD Buoyancy-Induced Heat and Mass Transfer Flow over a Stretching Porous Surface

Brian Kamba Indimuli; Richard Opiyo; David Ambogo

doi:10.36948/ijfmr.2026.v08i05.86457

Coupled Thermal Radiation-Viscous Dissipation Interaction in MHD Buoyancy-Induced Heat and Mass Transfer Flow over a Stretching Porous Surface

Author(s)	Mr. Brian Kamba Indimuli, Dr. Richard Opiyo, Dr. David Ambogo
Country	Kenya
Abstract	This study investigated the coupled thermal radiation–viscous dissipation interaction in MHD buoyancy-induced heat and mass transfer flow over a stretching porous surface. The study considered a steady, two-dimensional, incompressible, Newtonian, electrically conducting fluid flowing over a vertical stretching porous sheet. The x-Coordinate was taken along the stretching sheet while the y normal to it. The stretching velocity was prescribed as Uw(x) = ax where a has units s−1. A uniform transverse magnetic field B = (0, B0, 0) was applied. The ambient fluid far from the surface was characterized by temperature, T∞ and concentration, C∞. The mathematical model was formulated from the continuity, momentum, energy, and species concentration equations. The momentum equation incorporated thermal buoyancy, solutal buoyancy, Lorentz force and Darcy resistance from the porous medium. The energy equation incorporated thermal radiation through the Rosseland approximation and viscous dissipation. Similarity transformations reduced the governing partial differential equations to a nonlinear dimensionless boundary value problem. The resulting system was solved numerically using the shooting method together with classical fourth-order Runge-Kutta integration. The coupled response was assessed using temperature profiles, the dimensionless Nusselt number, a two-parameter response surface and an interaction index. Over the ranges 0 ≤ Rd ≤ 1 and 0 ≤ Ec ≤ 0.20, the dimensionless Nusselt number Nu∗ decreased from 0.828429 at (Rd, Ec) = (0,0) to 0.525282 at (Rd, Ec) = (1,0.20), representing an overall reduction of approximately 36.6%. The interaction index remained positive throughout the investigated domain. It was 0.008044 at (0.50,0.10) and 0.024011 at (1.00,0.20). These results demonstrate a non-additive thermal response arising from the simultaneous variation of thermal radiation and viscous dissipation. The concentration field exhibited a weaker response because the radiation parameter, Rd and Eckert number, Ec influence the species field indirectly through the temperature and momentum fields.
Keywords	Thermal radiation, Viscous dissipation, MHD flow, Stretching porous surface, Nusselt number, Interaction index, Response surface, Heat transfer
Field	Mathematics > Maths + Physics
Published In	Volume 8, Issue 5, September-October 2026
Published On	2026-09-30
DOI	https://doi.org/10.36948/ijfmr.2026.v08i05.86457

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Coupled Thermal Radiation-Viscous Dissipation Interaction in MHD Buoyancy-Induced Heat and Mass Transfer Flow over a Stretching Porous Surface

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