article · Johnson Matthey Technology Review
This research evaluates the steady, three-dimensional flow of an electrically conducting non-Newtonian Maxwell fluid over a porous surface that stretches in two directions. The computational model incorporates magneto-hydrodynamic conditions along with complex transport mechanisms, including Brownian motion, thermophoresis, gyrotactic microorganisms, and nanofluid particles. The governing physical equations are simplified into a system of non-linear ordinary differential equations and solved numerically using the MATLAB bvp4c routine. The analysis focuses on how these varied physical factors influence temperature, fluid velocity, concentration fields, and the distribution of microorganisms. Key output parameters such as the local microbe count, frictional drag coefficient, local Nusselt number, and local Sherwood number are examined to describe the system's heat and mass transfer characteristics.
Understanding how non-Newtonian fluids and nanoparticles move across porous boundaries helps engineers model complex fluid systems. By accounting for swimming microorganisms alongside magnetic fields and heat diffusion, this theoretical study offers fundamental insights into the mathematical behaviour of multi-component fluid mixtures under challenging physical and chemical conditions.
The abstract does not indicate an application pathway, representing early-stage mathematical modelling and numerical simulation without stated industrial partners or immediate use cases.
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Under the effect of magneto-hydrodynamic (MHD) conditions including thermophoresis, gyrotactic microbes, Brownian motion and nanofluid particles, this work investigates the steady flow of a three-dimensional, viscous, electrically conducting, non-Newtonian Maxwell fluid along a bidirectional stretching sheet composed of porous material. Simplified to non-linear ordinary differential equations (ODEs), the governing equations are numerically solved using MATLAB ® bvp4c. While their effects on the local Sherwood number, frictional drag coefficient, local Nusselt number and local microbe count are given in tabular form, their effects on temperature, velocity, microorganisms and concentration are graphically illustrated. Results of the research show that improving bioconvection Lewis and Peclet numbers as well as microbe differential parameter reduce the profiles of microorganisms.
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DOI: 10.1595/205651325x17518811630802
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