Modeling of the Peristaltic Lithogeic Bile Flow in the Calculus Duct Under the Influence of Heat Transfer with Slip Boundary Conditions

Authors

  • T. K. Rawat Department of Mathematics, Dayalbagh Educational Institute, (Deemed University), Dayalbagh, Agra, U.P. 282005, India
  • S. Kumari Department of Mathematics, Dayalbagh Educational Institute, (Deemed University), Dayalbagh, Agra, U.P. 282005, India
  • S. P. Singh Department of Mathematics, Dayalbagh Educational Institute, (Deemed University), Dayalbagh, Agra, U.P. 282005, India

DOI:

https://doi.org/10.3329/jsr.v14i2.55882

Abstract

This paper deals with a mathematical model that represents non-Newtonian bile flow through a calculus duct under the influence of heat transfer with wall slip conditions. The peristaltic flow of bile is characterized by a generalized Carreau's model. An ordinate transformation is initiated to map the cosine geometry of the stone into a rectangular grid. It allows evaluation velocity, pressure distribution, flow rate, and reflux occurrence conditions, adopting the perturbation technique, the analytical solution obtained under various parameters, such as Knudsen number, amplitude ratio, Grashof number, Weissenberg number, and power index. These mathematical expressions are analyzed by plotting the graph in MATLAB R2018b software and observed that the axial velocity and the pressure gradient are strongly affected by heat and wall slip parameters.

Downloads

Download data is not yet available.
Abstract
32
pdf
49

Downloads

Published

2022-05-01

How to Cite

Rawat, T. K., Kumari, S., & Singh, S. P. . (2022). Modeling of the Peristaltic Lithogeic Bile Flow in the Calculus Duct Under the Influence of Heat Transfer with Slip Boundary Conditions. Journal of Scientific Research, 14(2), 483–500. https://doi.org/10.3329/jsr.v14i2.55882

Issue

Vol. 14 No. 2 (2022)

Section

Section A: Physical and Mathematical Sciences

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

© Journal of Scientific Research

Creative Commons License

Articles published in the "Journal of Scientific Research" are Open Access articles under a Creative Commons Attribution-ShareAlike 4.0 International license (CC BY-SA 4.0). This license permits use, distribution and reproduction in any medium, provided the original work is properly cited and initial publication in this journal. In addition to that, users must provide a link to the license, indicate if changes are made and distribute using the same license as original if the original content has been remixed, transformed or built upon.