article · Case Studies in Thermal Engineering
This study models the Darcy-Forchheimer flow of an electrically conducting Maxwell nanofluid over a porous stretching sheet. The physical formulation incorporates nonlinear thermal radiation, bioconvection involving motile microorganisms, Arrhenius activation energy, thermophoresis, and convective boundary conditions. Mathematical governing partial differential equations are transformed into a system of nonlinear ordinary differential equations using similarity transformations and resolved numerically using a shooting method in MATLAB. The analysis tracks the effects of various physical parameters, including Peclet, Prandtl, Rayleigh, Lewis, and Hartmann numbers, alongside Brownian motion, on fluid velocity, temperature, nanoparticle concentration, and microorganism density profiles. The results demonstrate that fluid velocity decreases with increasing values of the inertia coefficient, magnetic parameter, and Deborah number, whereas an increase in activation energy leads to growth in the thermal distribution.
Understanding how non-Newtonian nanofluids behave under the combined influences of magnetic fields, chemical reactions, and bioconvection is important for fluid dynamics and thermal engineering. By revealing how micro-organism movement and activation energy alter heat and mass transport through porous media, these numerical simulations provide baseline data for predicting heat transfer rates in complex fluid environments.
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This investigation is designated for studying the inspiration of Darcy-Forchheimer flow of Maxwell nano fluid with nonlinear marvels of thermal radiation and bio convection of motile germs due to porous stretched sheet. Arrhenius energy, thermophoresis and convective Nield boundary conditions are novel aspects of this research. The exploration of heat and mass transfer in electrical conducting Maxwell fluid in the manifestation of nanoparticles is scrutinized. The misappropriate similarity functions are used to convert the couple of governing PDEs in to nonlinear set of ODEs. The resulting fasten of ODEs are numerically solved by applying the appropriate numerical tool shooting procedure with MATLAB solver code bvp4c. The encouragement of renowned parameters including Peclet number, Prandtl number, Bioconvective Lewis number, Rayleigh number, thermophoresis, Lewis number, Brownian motion and Hartmann number on momentum, energy, concentration and germ density profile has been deliberated in form of graphs and tables. We declared that the velocity curve declined for the developing value of inertia coefficient K1, magnetic number M and Deborah number Γ. The improvement in the values of the activation energy E growth in the temperature distribution.
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DOI: 10.1016/j.csite.2023.103413
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