International Journal of Applied Engineering Research

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Analytical Modelling of Induced Magnetic Field on Mixed Convective Radiating Fluid over a Porous Vertical Plate


Affiliations
1 Fluid Mechanics Research, Department of Mathematics, Goalpara College, Goalpara 783101, Assam, India
2 Department of Mathematics, Mangaldoi College, Darrang 784125, Assam, India
     

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Unsteady MHD heat transfer by mixed convection flow of a viscous, incompressible, electrically-conducting, Newtonian and radiating fluid which is an optically thin gray gas over a vertical permeable plate taking into account the induced magnetic field has been investigated. The similarity solutions of the transformed dimensionless governing equations are obtained by series solution. It is found that,velocity is reduced considerably with a rise in conduction-radiation parameter (Ra) or Hartmann number (M) whereas the skin friction is found to be markedly boosted with an increase in Magnetic Prandtl number (Prm). An increase in magnetic body parameter (M) or Magnetic Prandtl number (Prm) is found to escalate induced magnetic field whereas an increase in Ra is shown to exert the opposite effect. The acquired knowledge in our study can be used by designers to control Magnetohydrodynamic (MHD) flow as suitable for a certain application. Applications of the study include laminar magneto-aerodynamics, materials processing and MHD propulsion thermo-fluid dynamics.

Keywords

Mixed Convection, Hartmann Number, MHD Induction Heating,boundary Layers, Thermal Radiation, Magnetic Materials Processing, Magnetic Prandtl Number
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  • Analytical Modelling of Induced Magnetic Field on Mixed Convective Radiating Fluid over a Porous Vertical Plate

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Authors

Sahin Ahmed
Fluid Mechanics Research, Department of Mathematics, Goalpara College, Goalpara 783101, Assam, India
Dimbeswar Kalita
Department of Mathematics, Mangaldoi College, Darrang 784125, Assam, India

Abstract


Unsteady MHD heat transfer by mixed convection flow of a viscous, incompressible, electrically-conducting, Newtonian and radiating fluid which is an optically thin gray gas over a vertical permeable plate taking into account the induced magnetic field has been investigated. The similarity solutions of the transformed dimensionless governing equations are obtained by series solution. It is found that,velocity is reduced considerably with a rise in conduction-radiation parameter (Ra) or Hartmann number (M) whereas the skin friction is found to be markedly boosted with an increase in Magnetic Prandtl number (Prm). An increase in magnetic body parameter (M) or Magnetic Prandtl number (Prm) is found to escalate induced magnetic field whereas an increase in Ra is shown to exert the opposite effect. The acquired knowledge in our study can be used by designers to control Magnetohydrodynamic (MHD) flow as suitable for a certain application. Applications of the study include laminar magneto-aerodynamics, materials processing and MHD propulsion thermo-fluid dynamics.

Keywords


Mixed Convection, Hartmann Number, MHD Induction Heating,boundary Layers, Thermal Radiation, Magnetic Materials Processing, Magnetic Prandtl Number

References