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

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...

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Bibliographic Details
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
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Summary: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.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0023084