Mixed convection Casson polymeric flow from a nonlinear stretching surface with radiative flux and non‐Fourier thermal relaxation effects: Computation with CSNIS

Shahid, Anwar; Wei, Wang; Bhatti, Muhammad Mubashir; Bég, Osman Anwar; Beg, OA; Bég, Tasveer A.; Beg, TA

Abstract

Thermal non-Newtonian polymer coating flows is growing as a major area in materials
processing. Inspired by new developments in this field which require more sophisticated
mathematical models, the current investigation examines the laminar viscoplastic boundary layer
flow and mixed convective heat transfer over a power-law nonlinear stretching surface. To
simulate thermal relaxation effects the hyperbolic Cattaneo-Christov heat flux model is deployed.
The non-Newtonian polymer characteristics are described by employing the Casson flow model.
High temperature conditions invoke thermal radiation flux which is analyzed with an algebraic
flux model. Via robust similarity transformations, the primitive partial differential conservation
equations for momentum and energy equations are rendered into a system of coupled non-linear
ordinary differential equations with associated wall and free stream boundary conditions. The
emerging boundary value problem is solved numerically with an efficient Chebyshev Spectral
Newton Iterative scheme (CSNIS), in the MATLAB platform. The resulting solutions are
discussed for different emerging parameters using graphs and tables. Validation is included with
special cases from the literature. With increasing power law stretching index increases, the flow is decelerated, and temperatures are reduced. Increment in mixed convection parameter boosts
the velocity but suppresses temperature and thermal boundary layer thickness. Increasing nonFourier Deborah number, temperatures are depleted whereas with increasing radiative flux
parameter they are increased. With elevation in Casson non-Newtonian parameter, velocity is
decreased whereas temperature is enhanced and Nusselt number is suppressed.

Citation

Shahid, A., Wei, W., Bhatti, M. M., Bég, O. A., Beg, O., Bég, T. A., & Beg, T. (2023). Mixed convection Casson polymeric flow from a nonlinear stretching surface with radiative flux and non‐Fourier thermal relaxation effects: Computation with CSNIS. ZAMM, https://doi.org/10.1002/zamm.202200519

• Journal Article Type: Article
• Acceptance Date: Apr 2, 2023
• Online Publication Date: Apr 18, 2023
• Publication Date: Apr 18, 2023
• Deposit Date: Apr 4, 2023
• Publicly Available Date: Apr 19, 2024
• Journal: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
• Print ISSN: 0044-2267
• Electronic ISSN: 1521-4001
• Publisher: Wiley-VCH Verlag
• Peer Reviewed: Peer Reviewed
• DOI: https://doi.org/10.1002/zamm.202200519
• Keywords: Applied Mathematics, Computational Mechanics
• Additional Information: This is the peer reviewed version of the following article: Shahid, A., Wei, W., Bhatti, M.M., Bég, O.A., Bég, T.A.: Mixed convection Casson polymeric flow from a nonlinear stretching surface with radiative flux and non-Fourier thermal relaxation effects: Computation with CSNIS. Z Angew Math Mech. 00, e202200519 (2023)., which has been published in final form at https://doi.org/10.1002/zamm.202200519. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited."