Impact of Variable Fluid Properties on the Peristaltic Flow of Eyring-powell Fluid through Porous Medium: Applications to Hemodynamics

Prathiksha Prathiksha; Gudekote  Manjunatha; Rajashekhar  Choudhari; Hanumesh  Vaidya; Kerehalli Vinayaka Prasad

doi:10.37934/cfdl.17.1.114139

Authors

Prathiksha Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India
Gudekote Manjunatha Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India
Rajashekhar Choudhari Department of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education, Manipal, India
Hanumesh Vaidya Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari, Karnataka, India
Kerehalli Vinayaka Prasad Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari, Karnataka, India

DOI:

https://doi.org/10.37934/cfdl.17.1.114139

Keywords:

Eyring-Powell Fluid, Varying Viscosity, Perturbation Technique, Darcy Number

Abstract

The main focus of this study is to examine the peristaltic behaviour of an Eyring-Powell fluid within a non-uniform porous channel. The investigation focuses on comprehending the characteristics of the channel walls that impact the fluid dynamics. By incorporating the convective boundary conditions into the series Perturbation method, solutions for the governing non-linear equations on velocity, temperature, and stream function are obtained. The study improves accessibility through parametric assessment, and the results are shown graphically using MATLAB R2023a software. Significant insights are obtained from the study, especially concerning natural phenomena such as blood flow in tiny arteries, which may be used for management or intervention in dysfunctional situations. The investigation results show that fluid characteristics are greatly affected by porous parameters and different viscosities. Also, fluid flow improves as the porous parameter increases, i.e., Darcy number. The enhancement in the convective heat and mass transfer coefficient decreases the temperature and concentration of the fluid, respectively.

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Author Biography

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

manjunatha.g@manipal.edu

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