Heat Transfer and Thermal Radiation Effects on the Phan-Thien-Tanner Fluid Model Under Peristaltic Flow with a Permeable Porous Wall

Document Type : Full Length Research Article

Authors

1 Department of Mathematics and Statistics, M.S. Ramaiah University of Applied Sciences, Bengaluru, Karnataka, India

2 Department of Mathematics, B.M.S College of Engineering, Bengaluru

3 Department of Mathematics, Government First grade college, Chitaguppa, Karnataka, India,

Abstract

Peristalsis is crucial in industrial applications for transporting delicate or corrosive liquids through tubes without direct contact with mechanical elements. It enables precise fluid flow control in pharmaceuticals, food processing, and chemical handling. The current article deals with the combine effects of heat transfer and thermal radiation on peristaltic flow of a Phan-Thien-Tanner (PTT) fluid through channel. The nature of the walls is assumed to be permeable. The theoretical model considers the motion of conductive physiological fluids affected by heat, thermal radiation, and permeability. This model has important biomedical applications such as improving drug delivery systems, optimizing thermal therapies, and analyzing blood flow behavior with external heat sources. The flow is modelled using momentum, and energy, equations with Saffmann boundary conditions at the walls. The governing equations, including the continuity, momentum, and energy equations, are simplified under the low Reynolds number and long wavelength approximations. An analytical approach is used to solve the coupled equations, which gives detailed profiles of velocity, temperature, and pressure fields in the channel. The impact of important parameters like the Weissenberg number, porosity factor, radiation parameter, and Brinkman number on flow characteristics and temperature distribution is thoroughly investigated using Mathematica Software. The study shows that increasing the Weissenberg number results in a more elastic fluid, improving energy storage and redistribution during deformation. Higher values of Darcy number (Da), Prandtl number (Pr), and radiation parameter (Rd) lead to a decrease in temperature profile, indicating the impact of thermal radiation and permeability on flow efficiency and heat transfer regulation. These findings are valuable for optimizing microfluidic devices, biomedical systems, and porous media applications, where precise thermal management and flow control are crucial.

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References

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History

  • Receive Date: 05 January 2025
  • Revise Date: 18 March 2025
  • Accept Date: 03 April 2025

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