Contribution of Dufour and Soret effects on hydromagnetized material comprising temperature‐dependent thermal conductivity

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 address the transport phenomenon in a hydromagnetized flow model in a porous stretching sheet. Mass and heat transport is modeled via temperature‐dependent models of thermal conductivity and diffusion coefficient. The involvement of thermal radiation, chemical reaction, Dufour, and Soret effects is considered. The flow presenting expression has been modeled via boundary layer approximation, and the flow is produced due to the experimental stretching sheet. The governing equations have been approximated numerically via the shooting method. The efficiency of the scheme is established, including a comparative study. The graphical work is simulated according to ranges of various parameters while ranges of 0.0 ≤ k 1 ≤ 1.5, 0.0 ≤ M ≤ 1.5, 0.0 ≤ n ≤ 2.0, 0.0 ≤ N ≤ 1.5, 0.0 ≤ N ≤ 10, 2.5 ≤ Pr ≤ 7.0, 0.1 ≤ Pr ≤ 0.7, 0.1 ≤ Nb ≤ 0.7, 0.1 ≤ Nt ≤ 0.7, 0.1 ≤ M ≤ 0.4, 0.1 ≤ Df ≤ 0.13 , and 0.1 ≤ Sr ≤ 0.25 are considered. Moreover, a decline in velocity field is recorded against the escalating values of porosity parameter and magnetic parameter.

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