Abstract
The non-Newtonian fluids possess captivating heat transfer applications in comparison to the Newtonian fluids. Here, a new type of non-Newtonian fluid named Reiner–Rivlin nanofluid flow over a rough rotating disk with Cattaneo–Christov (C–C) heat flux is studied in a permeable media. The stability of the nanoparticles is augmented by adding the gyrotactic microorganisms in the nanofluid. The concept of the envisaged model is improved by considering the influences of Arrhenius activation energy, chemical reaction, slip, and convective conditions at the boundary of the surface. The entropy generation is evaluated by employing the second law of thermodynamics. The succor of the Shooting scheme combined with the bvp4c MATLAB software is adapted for the solution of extremely nonlinear system of equations. The noteworthy impacts of the evolving parameters versus engaged fields are inspected through graphical illustrations. The outcomes show that for a strong material parameter of Reiner–Rivlin, temperature, and concentration profiles are enhanced. The behavior of Skin friction coefficients, local Nusselt number, Sherwood number, and local density number of motile microorganisms against the different estimates of emerging parameters are represented in tabular form. The authenticity of the intended model is tested by comparing the presented results in limiting form to an already published paper. A proper correlation between the two results is attained.
Highlights
The non-Newtonian fluids possess captivating heat transfer applications in comparison to the Newtonian fluids
The interesting outcome of this study revealed that the heat transfer increases substantially in attendance of the second normal stresses. Attia[5] obtained a numerical solution of the unsteady flow of Reiner–Rivlin fluid past a rotating permeable disk with impacts of suction/injection
An interesting result of this investigation points out that the effect of the Ion slip on the axial velocity is more obvious for Reiner–Rivlin fluid as compared to any Newtonian liquid
Summary
Nux Local density number q∗ Non uniform heat source/sink Cs Solid surface heat capacity Pe Peclet number κ Thermal conductivity T Fluid temperature Nb Brownian motion parameter NG Entropy rate DT Coefficient of thermophoretic diffusion E Activation energy parameter T∞ Diffusive temperature hf Convective heat transfer coefficient hs Mass transfer coefficient Pr Prandtl number Nt Thermophoresis parameter A, B Space and temperature-dependent heat generation and absorption parameters Dm Microorganism’s diffusivity C Fluid concentration Lb Lewis number B1 Biot number Sc Schmidt number L, L1 Diffusion parameters A∗, B∗ Source, sink coefficients Br Brinkman number N∞ Ambient motile density
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