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Currently, nanofluid is a hot area of interest for researchers. The nanofluid with  bioconvection phenomenon attracted the researchers owing to its numerous  applications in the field of nanotechnology, microbiology, nuclear science, heat  storage devices, biosensors, biotechnology, hydrogen bomb, engine of motors,  cancer treatment, the atomic reactor, cooling of devices, and in many more. This  article presents the bioconvection cross-diffusion effects on the  magnetohydrodynamic flow of nanofluids on three different geometries (cone,  wedge, and plate) with mixed convection. The temperature-dependent thermal  conductivity, thermal diffusivity, and Arrhenius activation energy applications are  considered on the fluid flow with melting phenomenon. The flow is analyzed under  thermal and solutal Robin's conditions. The problem is formulated in the  mathematical formulation of partial differential equations (PDEs). The similarity  transformations are applied to diminish the governing non-linear coupled boundary  value problems into higher-order non-linear ordinary differential equations (ODEs).  The resulting expressions/equation numerically tackled utilizing the famous bvp4c  package by MATLAB for various interesting parameters. The results were physically  and numerically calculated through graphics and tables for the velocity field, energy  distribution, nanoparticles concentration, and microorganisms profile for numerous  parameters. From the obtained results, we discern that the transfer of heat and mass  coefficient is high over a plate and cone in the flow, respectively. The velocity profile  is reduced via a larger magnetic parameter. Temperature-dependent thermal  conductivity enhances the thermal field. Larger thermophoresis enhanced the  concentration of nanoparticles. The microorganisms' Biot number boosts the  microorganism’s profile.

Bioconvection Cross Diffusion Effects on MHD Flow of Nanofluids over Three Different Geometries with Melting