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

Tahir Kamran, Muhammad Imran*, Muhammad N. Naeem, Mohsan Raza
Department of Mathematics, Government College University Faisalabad, Faisalabad, 38000, Pakistan
* Corresponding Author: Muhammad Imran. Email:
(This article belongs to this Special Issue: Recent Trends in Nanofluids: Modelling and Simulations)

Computer Modeling in Engineering & Sciences 2022, 131(2), 1023-1039.

Received 07 May 2021; Accepted 09 June 2021; Issue published 14 March 2022


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 nonlinear 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. Temperaturedependent thermal conductivity enhances the thermal field. Larger thermophoresis enhanced the concentration of nanoparticles. The microorganisms’ Biot number boosts the microorganism’s profile.


MHD; nano-fluids; bioconvection; heat flux; MATLAB

Cite This Article

Kamran, T., Imran, M., Naeem, M. N., Raza, M. (2022). Bioconvection Cross Diffusion Effects on MHD Flow of Nanofluids over Three Different Geometries with Melting. CMES-Computer Modeling in Engineering & Sciences, 131(2), 1023–1039.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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