Marangoni bioconvection and cross diffusion in the Casson nanofluid flow over a magnetized disk: DTM-Pade solutions

Abstract

The Soret-Dufour phenomenon has been analyzed in the magnetohydrodynamic bioconvective Casson nanomaterial flow under Marangoni convection. The analysis of flow is performed under the external magnetic field influence which helps to control the nanofluid flows. The surface of the rotating disk is assumed to vary linearly with temperature, concentration and motile density. The mathematical model thus formed using partial differential equations is re-framed to nonlinear differential expressions by using suitable similarity transformations and the resulted equations are tackled via DTM (Differential Transformation Method) and Pade approximant. The results achieved by this methodology are justified by the comparison with the available data. The final outcomes are reported graphically. The liquid velocity is reduced while the temperature and concentration are enhanced against the larger magnetic parameter values. An enhancement in Marangoni parameter improved the velocity while reduced the temperature and concentration profiles. The Marangoni convection improved the fluid flow while decreased its temperature. The microorganisms density is found to decrease with an improvement in Peclet and bioconvected Schmidt numbers. The higher temperature and concentration profiles are achieved against the incrementing Dufour and Soret number values.