Effect of radiation on thermosolutal Marangoni convection in a porous medium with chemical reaction and heat source/sink

• Published in: Physics of fluids (1994) 2020-11, Vol.32 (11)
• Main Authors: Mahabaleshwar, U. S., Nagaraju, K. R., Vinay Kumar, P. N., Azese, Martin Ndi
• Format: Article
• Language: English
• Subjects: Boundary layer flow; Chemical reactions; Computational fluid dynamics; Crystal growth; Darcy number; Differential thermal analysis; Exact solutions; Fluid dynamics; Fluid flow; Glues; Heat exchangers; Industrial applications; Marangoni convection; Nonlinear differential equations; Nonlinear equations; Ordinary differential equations; Parameters; Partial differential equations; Physical properties; Physics; Porous media; Prandtl number; Radiation effects; Schmidt number; Silicon wafers; Thermal radiation; Thin films; Transpiration; Viscous fluids
• ISSN: 1070-6631; 1089-7666
• DOI: 10.1063/5.0023084

Thermosolutal Marangoni boundary layer flows are of great interest due to their applications in industrial applications such as drying of silicon wafers, thin layers of paint, glues, in heat exchangers, and crystal growth in space. The present analysis deals with the effect of chemical radiation and heat absorption/generation of the viscous fluid flow on a thermosolutal Marangoni porous boundary with mass transpiration and heat source/sink. The physical flow problem is mathematically modeled into Navier–Stokes equations. These nonlinear partial differential equations are then mapped into a set of nonlinear ordinary differential equations using similarity transformation. The analytical solutions for velocity, temperature, and concentration profiles are rigorously derived. The solutions so obtained are analyzed through various plots to demonstrate the effect of various physical parameters such as mass transpiration parameter Vc, inverse Darcy number Da−1, Marangoni number Ma, Schmidt number Sc, chemical reaction coefficient (K), Prandtl number (Pr), thermal radiation parameter (NR), and the heat source/sink parameter (I) on the momentum/thermal boundary, and their physical insights are also reported.