Spectral relaxation computation of Maxwell fluid flow from a stretching surface with quadratic convection and non-Fourier heat flux using Lie symmetry transformations

Bhatti, MM; Shahid, A; Sarris, IE; Beg, OA

Abstract

A mathematical model for nonlinear quadratic convection with non-Fourier heat
flux in coating boundary layer flow of a Maxwell viscoelastic fluid is presented. Nonlinear
quadratic thermal radiation and heat source/sink effects are also considered. The
transformations of Lie symmetry are employed. The resultant nonlinear differential equations
with defined boundary conditions are numerically solved using the spectral relaxation
technique (SRM), a robust computational methodology. Graphical visualization of the
velocity and temperature profiles is included for a range of different emerging parameters.
For skin friction and the Nusselt number, numerical data is also provided. There is a very
strong correlation between the outcomes of the current study and those published in the
literature. Higher values of the nonlinear thermal radiation, mixed convection, thermal
conductivity, nonlinear convection, and heat source/generation parameters increase
temperature as well as the thickness of the thermal boundary layer. However, a higher Prandtl
number, thermal relaxation parameter, and heat sink/absorption parameter all reduce
temperature. Deborah number causes velocity to be raised (and momentum boundary layer
thickness to be lowered), whereas raising nonlinear mixed convection parameter causes
velocity to be decreased (and momentum boundary layer thickness to be increased), and a
velocity overshoot is calculated. The models are applicable to simulations of hightemperature polymeric coatings in material processing.

Citation

Bhatti, M., Shahid, A., Sarris, I., & Beg, O. (2022). Spectral relaxation computation of Maxwell fluid flow from a stretching surface with quadratic convection and non-Fourier heat flux using Lie symmetry transformations. International Journal of Modern Physics B, https://doi.org/10.1142/S0217979223500820

• Journal Article Type: Article
• Acceptance Date: Aug 30, 2022
• Online Publication Date: Sep 30, 2022
• Publication Date: Sep 30, 2022
• Deposit Date: Sep 14, 2022
• Publicly Available Date: Oct 1, 2023
• Journal: International Journal of Modern Physics B
• Print ISSN: 0217-9792
• Electronic ISSN: 1793-6578
• Publisher: World Scientific Publishing
• DOI: https://doi.org/10.1142/S0217979223500820
• Publisher URL: https://doi.org/10.1142/S0217979223500820
• Additional Information: Additional Information : Electronic version of an article published as International Journal of Modern Physics B, Volume, Issue, 2022, Pages] [10.1142/S0217979223500820] © [copyright World Scientific Publishing Company] [https://www.worldscientific.com/]