Quadratic Mixed Convection Tangent Hyperbolic Stratified Fluid Flow Past a Vertical Elongated Sheet with Nonlinear Thermal Radiation: Spectral Local Linearization Method

Abstract

In the present study, the flow of tangent hyperbolic fluid over a vertically elongated sheet with double stratification and nonlinear thermal radiation effects is investigated. The model is developed with nonlinear mixed convection of second-order via Boussinesq approximation, a transverse magnetic field of uniform strength, viscous dissipation effects and temperature-dependent thermal conductivity. The model equations are transformed from nonlinear partial differential equations into ordinary differential equations through appropriate similarity transformation quantities while the translated equations are solved with an iterative technique known as the Spectral Local Linearization Method (SLLM). A comparison of the obtained results in the current study with related existing studies in the literature shows perfect agreement under some limiting constraints. The physical parameters' effects on the dimensionless velocity, temperature, skin friction coefficient and Nusselt number are clearly illustrated by various graphs. In the analysis, it is found that an increase in the fluid material parameter decelerates the fluid motion while the velocity appreciates with the mixed convection term. Similarly, the surface heat transfer improves by raising the value of the temperature ratio parameter (nonlinear thermal radiation) whereas there is a reduction in the heat transfer in the presence of the thermal stratification parameter.