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The study of motile microorganism and the nano-particles of the MHD fluid flow over the porous stretching sheet with buoyancy forces are made. Boundaries conditions along non-zero mass flux are impose. We implement the dimensionless variable technique and the systems of coupled non-linear partial differential equations are transformed into ordinary differential equations by using the appropriate similarity transformation. Moreover, by using package ND-Solve on Mathematica problem is numerically integrated with the help of shooting technique. The ascendency of arising physical interpretation of thermo-physical parameter on temperature distribution, mass concentration and microorganism profile are obtained and observed. The evaluations are executed graphically and numerically for numerous prominent parameters Magnetic parameter, Porosity parameter, Deborah number, mixed convection parameter, radiation parameter, bio convection Rayeigh number, thermophoresis diffusion, Brownian motion, bio convection Peclet number, density of the motile microorganism and nano-particles versus velocity, temperature, concentration fields are also discussed numerically in detail. It is noted that the field of microorganisms decreases by raising the value of bioconvection and Peclet number.

Muhammad Jawad, Khurrem Shehzad, Rabia Safdar, Sajjad Hussain. (2020) Novel computational study on MHD flow of nanofluid flow with gyrotactic microorganism due to porous stretching sheet, Punjab University Journal of Mathematics, Volume 52 , Issue-12.
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