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

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 are also provided. There is a very strong correlation between the outcomes of this 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 high-temperature polymeric coatings in material processing.

Automated summary

A mathematical model is proposed to describe nonlinear quadratic convection and non-Fourier heat flux in the coating boundary layer flow of a Maxwell viscoelastic fluid. The model considers nonlinear quadratic thermal radiation, heat source/sink effects, and utilizes Lie symmetry transformations. Numerical solutions of the resulting nonlinear differential equations with defined boundary conditions are obtained using the spectral relaxation technique, and graphical visualization of the velocity and temperature profiles is presented. The study demonstrates a strong correlation between its outcomes and those published in the literature, and provides insights into the effects of various parameters on temperature and boundary layer thickness.