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In this paper, we have examined the influence of activation energy and binary chemical reaction on the magneto-hydrodynamic bioconvection of Williamson nanofluid flow over a stretching sheet in the presence of variable thickness and variable thermal conductivity considering nonlinear thermal radiation under multiple slip conditions. The necessary similarity transformations are applied to the governing partial differential equations to reduce them to a set of nonlinear ordinary differential equations. These sets of ordinary differential equations with boundary conditions are solved numerically. The significant result of the present work is that the velocity profile reduces by enhancing the values of Williamson fluid parameter. Temperature profile decreases by increasing the temperature slip parametervalues, whereas it increases by increasing the values of velocity power index parameter  m . The density of the microorganisms profile decreases by increasing the density of microorganisms slip parametervalues and the Williamson fluid parameter. Also, by increasing the Lewis number and activation energy parameter values, the rate of mass transfer increases. The rate of heat transfer retards by increasing the thermal conductivity parameter and thermal radiation parameter values.

international journal of ambient energy

Performance of activation energy and variable thermal conductivity on bioconvection heat transfer of Williamson nanofluid undergoing binarychemical reaction with multiple slip