Computation of Sakiadis flow of an Eyring-Powell rheological fluid from a moving porous surface with a non-Fourier heat flux model

Beg, OA; Aatif, M; Waqas, M; Zubair, M; Kadir, A

Abstract

This article examines theoretically and numerically the effect of non-Fourier heat
flux on non-Newtonian (Eyring-Powell) Sakiadis convective flow from a moving permeable
surface accompanied by a parallel free-stream velocity, as a simulation of polymeric coating
processes. The Cattaneo-Christov model is deployed which features thermal relaxation effects as
these are important in thermal polymer processing. The physical flow problem is modelled in a
Cartesian coordinate system and the governing conservation differential equations and associated
boundary conditions are rendered dimensionless by applying suitable transformations. Liquid
velocity and thermal distributions are computed considering numerical procedure namely, a
shooting method in conjunction with the 5th order Runge-Kutta algorithm (R-K5) executed in a
symbolic software. Validation with the three-stage Lobatto IIIA algorithm in MATLAB is
included. The impact of key parameters on streamline distributions is also computed. Velocity is
increased with increment in Eyring-Powell first parameter for the Sakiadis case whereas it is
reduced with Eyring-Powell second parameter for the case where sheet and liquid are inspiring in
the similar direction. The special case of Blasius flow is also examined (stationary sheet). For
higher injection, there is a solid dampening in the boundary-layer flow for both Sakiadis and
Blasius scenarios. With increment in thermal relaxation parameter and Eyring-Powell first and
second parameters, temperatures are strongly reduced, and thermal boundary-layer thickness is
suppressed. Higher injection at the wall also depletes temperatures. The Cattaneo-Christov heat flux model predicts lower temperature and thermal boundary layer thickness due to the thermal
relaxation effect than the classical Fourier model. Flow patterns are displayed through 2D and 3D
streamline contour plots and non-Newtonian characteristics are also found to exhibit strong
modifications in these plots. The computations are useful in industrial high temperature coating
flow designs using non-Newtonian materials on a moving substrate.

Citation

Beg, O., Aatif, M., Waqas, M., Zubair, M., & Kadir, A. (2023). Computation of Sakiadis flow of an Eyring-Powell rheological fluid from a moving porous surface with a non-Fourier heat flux model. Waves in Random and Complex Media, https://doi.org/10.1080/17455030.2022.2148012

• Journal Article Type: Article
• Acceptance Date: Nov 5, 2022
• Online Publication Date: Jan 12, 2023
• Publication Date: Jan 12, 2023
• Deposit Date: Jan 9, 2023
• Publicly Available Date: Jan 13, 2024
• Journal: Waves in Random and Complex Media
• Print ISSN: 1745-5030
• Electronic ISSN: 1745-5049
• Publisher: Taylor and Francis
• DOI: https://doi.org/10.1080/17455030.2022.2148012
• Publisher URL: https://doi.org/10.1080/17455030.2022.2148012
• Additional Information: Additional Information : This is an Accepted Manuscript of an article published by Taylor & Francis in Waves in Random and Complex Media on January 12th 2023, available at: http://www.tandfonline.com/10.1080/17455030.2022.2148012