A Mathematical Study on a Steady MHD Flow in Double Stratification Medium

Authors

  • V. Ananthaswamy Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India
  • R. R. Subanya Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India
  • S. Sivasankari Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India

DOI:

https://doi.org/10.37934/cfdl.15.10.3451

Keywords:

MHD Boundary layer flow, ; Double stratified medium, Exponential permeability, Ananthaswamy-Sivasankari method (ASM), Modified Homotopy Analysis Method (MHAM)

Abstract

The detailed analysis on the flow of MHD fluid in double stratification medium across a stretching sheet with exponential permeability is examined in this research. The approximate analytical solution for the governing equations in steady state is found by using a new approximate analytical method called Ananthaswamy-Sivasankari Method (ASM) and Modified Homotopy Analysis Method (MHAM). The approximate analytical expressions for the dimensionless velocity, dimensionless temperature and dimensionless concentration are derived using these methods. The analytical and numerical results (previous work) are compared and there is a good agreement between our analytical results and numerical works. The impacts of several parameters including porosity, magnetic, suction and heat source parameters are shown in graphical representation. The error table for the physical parameter namely Nusselt number for various values of Prandtl number has been provided. Both ASM and MHAM are very useful to solve some other non-linear boundary value problems especially in MHD fluid flow

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Author Biographies

V. Ananthaswamy, Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India

ananthu9777@gmail.com

R. R. Subanya, Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India

subanyadurai@gmail.com

S. Sivasankari, Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India

sivasankari561997@gmail.com

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Published

2023-08-29

How to Cite

V. Ananthaswamy, R. R. Subanya, & S. Sivasankari. (2023). A Mathematical Study on a Steady MHD Flow in Double Stratification Medium. CFD Letters, 15(10), 34–51. https://doi.org/10.37934/cfdl.15.10.3451

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