<p>This study examines the dynamic response of a magnetized micropolar Carreau-Yasuda nanofluid to Cattaneo-Christov heat flux, variable viscosity, and thermal conductivity, within the regime of nonlinear radiative pulsatile flow through a vertical Darcy-Forchheimer porous channel. The analysis also accounts for the roles of exo/endothermic reactions influenced by activation energy, in conjunction with cross-diffusion phenomena (Soret and Dufour effects), non-uniform heat generation/absorption, and Joule heating. The mathematical model governing the flow dynamics is established through a system of dimensional partial differential equations (PDEs), with Buongiorno effects embedded into the formulation. The perturbation technique facilitated the transformation of the governing non-dimensional PDEs into an equivalent system of ordinary differential equations, whose numerical solutions were attained through MATLAB’s ‘bvp4c’ solver. Augmentation of the Dufour number, space- and temperature-dependent heat source/sink coefficient, and relaxation time parameter facilitated significant advancements in the steady temperature. An increment in variable viscosity and thermal conductivity parameters leads to an improved temperature profile but a diminished concentration profile. Moreover, Heat transfer performance is significantly enhanced by incorporating variable properties, with improvements of 86.31% for Brownian motion, 61.96% for the Dufour effect, 59.27% for relaxation time, 57.97% for thermophoresis, and 31.69% for exo/endothermic reactions compared to constant-property models.</p>

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Cattaneo-Christov model for pulsatile flow of micropolar Carreau-Yasuda nanofluid in a non-Darcy vertical porous channel featuring temperature-dependent properties and exo/endothermic reactions

  • Joseph Josuva,
  • R. Hemadri Reddy

摘要

This study examines the dynamic response of a magnetized micropolar Carreau-Yasuda nanofluid to Cattaneo-Christov heat flux, variable viscosity, and thermal conductivity, within the regime of nonlinear radiative pulsatile flow through a vertical Darcy-Forchheimer porous channel. The analysis also accounts for the roles of exo/endothermic reactions influenced by activation energy, in conjunction with cross-diffusion phenomena (Soret and Dufour effects), non-uniform heat generation/absorption, and Joule heating. The mathematical model governing the flow dynamics is established through a system of dimensional partial differential equations (PDEs), with Buongiorno effects embedded into the formulation. The perturbation technique facilitated the transformation of the governing non-dimensional PDEs into an equivalent system of ordinary differential equations, whose numerical solutions were attained through MATLAB’s ‘bvp4c’ solver. Augmentation of the Dufour number, space- and temperature-dependent heat source/sink coefficient, and relaxation time parameter facilitated significant advancements in the steady temperature. An increment in variable viscosity and thermal conductivity parameters leads to an improved temperature profile but a diminished concentration profile. Moreover, Heat transfer performance is significantly enhanced by incorporating variable properties, with improvements of 86.31% for Brownian motion, 61.96% for the Dufour effect, 59.27% for relaxation time, 57.97% for thermophoresis, and 31.69% for exo/endothermic reactions compared to constant-property models.