Effects of Heat Transfer and Concentration on Peristaltic Ree-Eyring Fluid Flow in a Symmetric Channel with Square and Triangular Boundaries

Authors

  • Fatima K. Abdullah ollege of science, University of Baghdad Author
  • Ahmed M. Abdulhadi ollege of science, University of Baghdad Author

Keywords:

heat transfer Peristaltic flow Ree-Eyring fluid, concentration magnetic field porous media

Abstract

This article aims to investigate the effects of heat transfer analysis, Ree-Eyring fluid concentration, magnetic field, porous media, and MHD on the peristaltic transport of Ree-Eyring fluid in a rotating frame within a symmetric channel that experiences triangular and square boundary in three dimensions. The governing equations are written, which are continuity, motion, heat, and concentration equations with help of conservation of mass, Newton's second law, and conservation of energy, respectively. We then simplified the equations using the long wave length hypothesis and the Renold number approximation. This approximation led to the development of nonlinear differential equations. The exact solution of the Ree-Eyring particle concentration, temperature, velocity, and stream function are calculated. Using the MATHMETICA program, we have graphically clarified the flow quantities for different parameters. We have also graphically explained the trapping phenomenon. In this analysis, we observed that highlighting the concentration of fluid leads to a decrease in axial velocity and secondary velocity. The increase in the magnetic field resulted in an increase in axial velocity, but a decrease in secondary velocity. We observed an increase in trapping phenomena as the concentration of fluid increase and it decrease as the magnetic field increase.

Author Biographies

  • Fatima K. Abdullah, ollege of science, University of Baghdad

    Department of mathematics

  • Ahmed M. Abdulhadi, ollege of science, University of Baghdad

    department of mathematic 

Published

2024-12-15