| Summary: | 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.
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