Magnetohydrodynamic peristaltic flow of Bingham fluid in a channel: An application to blood flow

Authors

  • C. Rajashekhar Department of Mathematics, Karnataka State Akkamahadevi Women’s University, Vijayapura 586108, Karnataka, INDIA
  • G. Manjunatha Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal 576104, Karnataka, INDIA
  • F. Mebarek-Oudina Department of Physics, Faculty of Sciences, University of 20août 1955-Skikda, Skikda 21000, ALGERIA
  • Hanumesh Vaidya Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari 583105, Karnataka, INDIA
  • K. V. Prasad Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari 583105, Karnataka, INDIA
  • K. Vajravelu Department of Mathematics, University of Central Florida, Orlando FL 32816, USA
  • A. Wakif Laboratory of Mechanics, Faculty of Sciences Aïn Chock, Hassan II University, B.P. 5366 Mâarif, Casablanca 20000, MOROCCO

DOI:

https://doi.org/10.15282/jmes.15.2.2021.12.0637

Keywords:

Thermal Slip, velocity Slip, concentration slip, wall rigidity, wall elasticity

Abstract

The paper examined a theoretical investigation of the stimulus of mass and heat transfer on the channel's peristaltic utilization of the MHD Bingham liquid. The research study is motivated to explore blood circulation in the little vessels by taking the slip, variable thermal conductivity, and thickness of the wall features into account.  The leading constitutive equations are established based on low Reynolds number and approximations for long wavelengths. The solution for the resulting nonlinear energy and momentum equations is obtained using a semi-analytic method, while the exact solution for the concentration field is obtained. Using the MATLAB software, the influences of different constraints on the interest of physiological quantities are represented graphically. One of the considerable outcomes of the current model exposes that the existence of variable fluid properties boosts the rate as well as temperature level areas. The rheological and flow properties of various biological fluids can be derived from this model as a particular case. Moreover, the formation of stuck bolus diminishes for larger values of the magnetic and velocity slip constraints.

Author Biographies

C. Rajashekhar, Department of Mathematics, Karnataka State Akkamahadevi Women’s University, Vijayapura 586108, Karnataka, INDIA

Research Assistant, Bhaskaracharya Study Chair, Karnataka State Akkamahadevi Women’s University

G. Manjunatha, Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal 576104, Karnataka, INDIA

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

K. V. Prasad, Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari 583105, Karnataka, INDIA

Professor, Vijayanagara Sri Krishnadevaraya University Jnana Sagara Campus,Vinayaka Nagar Cantonment,Ballari: 583105

K. Vajravelu, Department of Mathematics, University of Central Florida, Orlando FL 32816, USA

Professor, University of Central Florida, Orlando FL 32816, USA

A. Wakif, Laboratory of Mechanics, Faculty of Sciences Aïn Chock, Hassan II University, B.P. 5366 Mâarif, Casablanca 20000, MOROCCO

Professor, Laboratory of Mechanics, Faculty of Sciences Aïn Chock, Hassan II University, B.P. 5366 Mâarif, Casablanca 20000, Morocco

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Published

2021-06-10

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[1]
R. C, “Magnetohydrodynamic peristaltic flow of Bingham fluid in a channel: An application to blood flow”, J. Mech. Eng. Sci., vol. 15, no. 2, pp. 8082–8094, Jun. 2021.

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Vol. 15 No. 2 (2021): June 2021

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