2011International Journal of Computer ApplicationsRequires access

Unsteady MHD Micropolar Flow and Mass Transfer Past a Vertical Permeable Plate with Variable Suction

M. Hamza M., B.Y. Isah

Open publisher page 4 citations

Abstract

This paper deals with the behavior of unsteady MHD Micropolar flow and Mass transfer past a vertical plate with variable suction. The resultant equations are solved analytically using Perturbation method. The analytical expressions for the velocity profiles, temperature profiles and concentration profiles of the fluid have been obtained with the help of the material parameters such as Grashof number G, Modified Grashof number Gm, Prandtl number Pr and Schmidt number Sc. Numerical computations involved in the solution have been shown on graphs using MAtlab soft ware. Results show that the velocity increases with an increase in Grashof and modified Grashof numbers, chemical reaction parameter and viscosity ratio respectively and decreases as a result of an increasing Magnetic number and time. The concentration profile decreases with an increasing chemical reaction parameter and Schmidt number. The temperature field increases with increasing time and decreases with an increasing Prandtl number, while the angular velocity decreases with an increase in Grashof and Modified Grashof numbers, time and epsilon respectively.

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What this paper is about

This paper deals with the behavior of unsteady MHD Micropolar flow and Mass transfer past a vertical plate with variable suction. The resultant equations are solved analytically using Perturbation method. The analytical expressions for the velocity profiles, temperature profiles and concentration profiles of the fluid have been obtained with the help of the material parameters such as Grashof number G, Modified Grashof number Gm, Prandtl number Pr and Schmidt number Sc. Numerical computations involved in the solution have been shown on graphs using MAtlab soft ware. Results show that the velocity increases with an increase in Grashof and modified Grashof numbers, chemical reaction parameter and viscosity ratio respectively and decreases as a result of an increasing Magnetic number and time. The concentration profile decreases with an increasing chemical reaction parameter and Schmidt number. The temperature field increases with increasing time and decreases with an increasing Prandtl number, while the angular velocity decreases with an increase in Grashof and Modified Grashof numbers, time and epsilon respectively.

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Available abstract

This paper deals with the behavior of unsteady MHD Micropolar flow and Mass transfer past a vertical plate with variable suction. The resultant equations are solved analytically using Perturbation method. The analytical expressions for the velocity profiles, temperature profiles and concentration profiles of the fluid have been obtained with the help of the material parameters such as Grashof number G, Modified Grashof number Gm, Prandtl number Pr and Schmidt number Sc. Numerical computations involved in the solution have been shown on graphs using MAtlab soft ware. Results show that the velocity increases with an increase in Grashof and modified Grashof numbers, chemical reaction parameter and viscosity ratio respectively and decreases as a result of an increasing Magnetic number and time. The concentration profile decreases with an increasing chemical reaction parameter and Schmidt number. The temperature field increases with increasing time and decreases with an increasing Prandtl number, while the angular velocity decreases with an increase in Grashof and Modified Grashof numbers, time and epsilon respectively.

Key concepts: Grashof number, Prandtl number, Schmidt number, Mechanics, Mass transfer, Thermodynamics, Nusselt number, Hartmann number

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