Homogeneous And Heterogeneous Reactions on The Peristalsis of Bingham Fluid with Variable Fluid Properties Through a Porous Channel

Authors

  • H. Balachandra Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal 576104, Karnataka, India
  • Choudhari Rajashekhar Department of Mathematics, Karnataka State Akkamahadevi Women’s University, Vijayapura 586108, Karnataka, India
  • Hanumesh Vaidya Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari, Karnataka, India
  • Fateh Mebarek Oudina Department of Physics, Faculty of Sciences, University of 20août 1955-Skikda, Skikda 21000, Algeria
  • Gudekote Manjunatha Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal 576104, Karnataka, India
  • Kerehalli Vinayaka Prasad Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari, Karnataka, India
  • Prathiksha Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal 576104, Karnataka, India

DOI:

https://doi.org/10.37934/arfmts.88.3.119

Keywords:

Homogeneous-Heterogeneous reactions, Grashof number, Variable liquid properties, Darcy number, Yield stress

Abstract

The exploration addresses the effect of variable viscosity and thermal conductivity on the peristaltic mechanism of Bingham fluid. A two-dimensional non-uniform porous channel is considered for the fluid flow, which is assumed to be inclined. The impact of heat, slip conditions, wall properties, homogeneous and heterogeneous reactions are examined. The resulting nonlinear differential equations are solved by employing the perturbation method. The solutions acquired are analyzed and sketched through graphs that show that the variable viscosity renders a critical role in regulating the velocity of the fluid in the channel's central part. The stream function has been analyzed to observe the trapping phenomenon. Further, the obtained results find its application in understanding the flow of blood in micro arteries.

Author Biographies

H. Balachandra, Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal 576104, Karnataka, India

balachandrash@gmail.com

Choudhari Rajashekhar, Department of Mathematics, Karnataka State Akkamahadevi Women’s University, Vijayapura 586108, Karnataka, India

choudhariraj3@gmail.com

Hanumesh Vaidya, Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari, Karnataka, India

hanumeshvaidya@gmail.com

Fateh Mebarek Oudina, Department of Physics, Faculty of Sciences, University of 20août 1955-Skikda, Skikda 21000, Algeria

oudina2003@yahoo.fr

Gudekote Manjunatha, Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal 576104, Karnataka, India

manjunatha.g@manipal.edu

Kerehalli Vinayaka Prasad, Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari, Karnataka, India

prasadkv2007@gmail.com

Prathiksha, Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal 576104, Karnataka, India

prathikshasurathkal@gmail.com

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Published

2021-11-06

How to Cite

H. Balachandra, Choudhari Rajashekhar, Hanumesh Vaidya, Oudina, F. M. ., Gudekote Manjunatha, Prasad, K. V. ., & Prathiksha. (2021). Homogeneous And Heterogeneous Reactions on The Peristalsis of Bingham Fluid with Variable Fluid Properties Through a Porous Channel. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 88(3), 1–19. https://doi.org/10.37934/arfmts.88.3.119

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