Analysis of MHD Effects on Porous Flat Plate and Curved Circular Plate with Couple Stress Fluid

Authors

  • Jagadish Patil Department of Mathematics, Faculty of Engineering and Technology, Sharnbasva University, Kalaburagi, 585102, India
  • Hanumagowda Bannihalli Naganagowda Department of Mathematics, School of Applied Sciences, REVA University, Bangalore 560064, India
  • Dhanraj Neela Department of Mathematics, Faculty of Engineering and Technology, Sharnbasva University, Kalaburagi, 585102, India
  • Vishal Patil Department of Mathematics, Faculty of Engineering and Technology, Sharnbasva University, Kalaburagi, 585102, India
  • Ayyappa Gundayya Hiremath Department of Mathematics, Poojya Doddappa Appa College of Engineering, Kalaburagi 585102, India
  • Trimbak V Biradar Department of Mathematics, Sharnabasaveshwara College of Science Kalaburagi, Karnataka, 585105, India
  • Vijayalaxmi Patil Department of Mathematics, Faculty of Engineering and Technology, Sharnbasva University, Kalaburagi, 585102, India

DOI:

https://doi.org/10.37934/arfmts.120.2.8298

Keywords:

Couple stress, squeeze film, magnetohydrodynamics, flat plate and circular plate

Abstract

The purpose of this article is to examine the effect of MHD on curved circular and porous flat plates lubricated with couple stress fluid. It is assumed that the flow in the porous region follows Darcy’s law. A generalized form of Reynolds's equation is derived on the basis of Stokes Theory of couple stress fluids in the presence of applied external magnetic field. The non-dimensional form of modified Reynolds's equation is solved and the closed form expressions are obtained for the fluid film pressure, load carrying capacity and squeeze film time. It is found that, the effect of applied magnetic field and couple stress lubricants are to increase the squeeze film pressure, load carrying capacity and to lengthen the squeezing time. Also, the effect of permeability parameter is to decrease the pressure, load-carrying capacity and squeeze-film time as compared to the non-porous case.

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Author Biographies

Jagadish Patil, Department of Mathematics, Faculty of Engineering and Technology, Sharnbasva University, Kalaburagi, 585102, India

jagadish_patil@sharnbasvauniversity.edu.in

Hanumagowda Bannihalli Naganagowda, Department of Mathematics, School of Applied Sciences, REVA University, Bangalore 560064, India

hanumagowda123@rediffmail.com

Dhanraj Neela, Department of Mathematics, Faculty of Engineering and Technology, Sharnbasva University, Kalaburagi, 585102, India

dhanu.kneela@gmail.com

Vishal Patil, Department of Mathematics, Faculty of Engineering and Technology, Sharnbasva University, Kalaburagi, 585102, India

vishalandvinod@gmail.com

Ayyappa Gundayya Hiremath, Department of Mathematics, Poojya Doddappa Appa College of Engineering, Kalaburagi 585102, India

ag_hiremath@rediffmail.com

Trimbak V Biradar, Department of Mathematics, Sharnabasaveshwara College of Science Kalaburagi, Karnataka, 585105, India

shivakumartv@rediffmail.com

Vijayalaxmi Patil, Department of Mathematics, Faculty of Engineering and Technology, Sharnbasva University, Kalaburagi, 585102, India

vijayalaxmisp625@gmail.com

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Published

2024-08-30

How to Cite

Patil, J. ., Naganagowda, H. B. ., Neela, D. ., Patil, V. ., Hiremath, A. G. ., Biradar, T. V., & Patil, V. . (2024). Analysis of MHD Effects on Porous Flat Plate and Curved Circular Plate with Couple Stress Fluid. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 120(2), 82–98. https://doi.org/10.37934/arfmts.120.2.8298

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