The present flow model includes the flow modeling of nonlinear partial differential equations (PDEs) for variable thermal transport of heat energy in Newtonian fluid considering fundamental transport models in view of energy, mass, and momentum. The developing model of PDEs based on physical boundary conditions is solved numerically using the shooting approach. Flow in porous medium has applications in several industry mechanisms. The current research is done to How to cite this article: Naseem T, Nazir U, Sohail M. Contribution of Dufour and Soret effects on hydromagnetized material comprising temperature-dependent thermal conductivity.

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This report examines the flow of non-Newtonian fluids down a bilateral surface under the influence of a magneto-hydrodynamic effect that is applied in many fields seen in the applied sciences and has received the attention of researchers because of its vast usage. It is assumed that the movement of particles generated fluid due to the movement of walls in the light of horizontal and vertical directions. Thermal study is carried out by employing the contribution of Joule heating, viscous dissipation and radiation. The phenomena of variable thermal conductivity and mass diffusion coefficient are also used in the modeling of the law of conservation of energy transport and species. The contribution of Brownian thermocouple and diffusion is captured by using the Buongrino model. The impact of various impact parameters was sketched. The involvement of the various parameters is measured in terms of dimensional stress, heat rate and mass. The limitation case of the current investigation is compared with the case of the published publications and an excellent arrangement is noted. The rate of transfer of thermal energy at wall of hot surface has gained using large values of Prandtl number because of large values of Prandtl number results reduction in thermal boundary layer while ratio between momentum and thermal boundary layers called Prandtl number. Hence, reduction in thermal boundary layer (TBL) results maximum production in rate of transfer of thermal energy.

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