Abstract
The present study focus on the magnetohydrodynamic nanofluid containing micro-organisms flow in the subsistence of thermophoresis and Brownian action event. Furthermore, Dufour and Soret effects have been taken into detail through the heat and mass transfer analysis. The coordination of partial differential equations renewed into a scheme of ordinary differential equations using the similarity renovation and also numerically solved via bvp4c MATLAB package. The physical parameters are discussed through different graphs and tabular form. Moreover, it is exposed that the raising concentration and temperature with greater utility of Dufour and Soret effect. For large values in fluid concentration for greater change in activation parameter. The larger values of Peclet number and concentration difference the density quantity of motile micro-organisms increases.
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