Abstract
The key purpose of this article is to discuss the magnetohydrodynamic mixed convection flow for a Maxwell nanofluid past a stretching and permeable sheet. Variable thermal conductivity and Dufour and Soret effects are also taken into consideration. The modeled equations are transformed into a set of non-linear ordinary differential equations by employing similar transformable variables. The renovated system of equations is interpreted by Homotopy Analysis Method (HAM). The results determined by HAM have been compared with numerical solutions, and a good agreement has been noticed in both solutions. The main outcomes of this investigation are that velocity slows down with augmentation in Maxwell and magnetic parameters, temperature increases with radiation and thermophoretic parameters and reduces with growing values of Prandtl number and Brownian motion parameters, and furthermore, the motile micro-organism is a dropping function of Peclect and bio-convection Lewis numbers and bio-convection concentration difference parameters.
Highlights
The growing trend in technical and industrial applications grabs the attention of researchers to analyze mathematical models for non-Newtonian fluids
The results determined by Homotopy Analysis Method (HAM) have been compared with numerical solutions, and a good agreement has been noticed in both solutions
This section comprises the discussion of the impact of some parameters involved in the modeled problem on velocity, temperature, concentration, and motile micro-organism profiles
Summary
The growing trend in technical and industrial applications grabs the attention of researchers to analyze mathematical models for non-Newtonian fluids. The Maxwell fluid model, which is non-Newtonian in nature, is able to predict the time relaxation phenomenon, which is not possible in the case of the Newtonian model. This model is applied by various researchers under different flow circumstances. Fetecau et al. presented an unsteady flow for the Maxwell fluid of fractional derivatives under the influence of an accelerating plate with constant speed. In this examination, they solved the modeled equations by employing a combination of joint
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