Analysis of tangent-hyperbolic rheological model considering nonlinear mixed convection, Joule heating and Soret-Dufour aspects from a stretchable convective stratified surface

This investigation elaborates mathematical modeling and interpretation of non-Newtonian tangent-hyperbolic rheological model capturing multi-physical effects. Flow analysis is performed under nonlinear buoyancy forces and magnetohydrodynamics towards stratified convectively heated surface. Thermal radiation, Ohmic dissipation, heat generation, convective conditions, Soret-Dufour aspect and double stratification are considered to model energy and concentration expressions. The governing rheological expressions are simplified employing fluid mechanics laws. Transformation procedure assists to produce the differential systems from nonlinear governing partial systems. The analytical solutions are achieved through homotopy methodology and convergence is ensured via tabular and graphical illustrations. Sundry factors like radiation parameter, Dufour number, thermal stratified variable, Eckert number, thermal Biot number, Prandtl number, Schmidt number, Soret number, solutal stratified variable, reaction parameter and solutal Biot number are addressed against nondimensional profiles. It is found that Dufour number has opposite impact on temperature and rate of heat transportation. Besides the solutal field rises when Soret number is increased while rate of mass transportation decays subject to larger Soret number.

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This investigation focuses on the mathematical modeling and interpretation of a non-Newtonian tangent-hyperbolic rheological model that captures multiple physical effects. The study analyzes the flow under nonlinear buoyancy forces and magnetohydrodynamics with convective heating. Various factors such as thermal radiation, Ohmic dissipation, heat generation, convective conditions, Soret-Dufour aspect, and double stratification are considered in the energy and concentration expressions. The results show the opposite impacts of the Dufour number on temperature and heat transportation rate, and the increase in Soret number leads to higher solutal field and lower mass transportation rate.