Numerical Simulation of Reiner–Rivlin Nanofluid Flow under the Influence of Thermal Radiation and Activation Energy over a Rotating Disk

In current study,the numerical computations of Reiner–Rivlin nanofluid flow through a rotational disk under the influence of thermal radiation and Arrhenius activation energy is considered.For innovative physical situations,the motile microorganisms are incorporated too.The multiple slip effects are considered in the boundary conditions.The bioconvection of motile microorganism is utilized alongside nanofluids to provide stability to enhanced thermal transportation.The Bioconvection pattern in various nanoparticles accredits novel applications of biotechnology like the synthesis of biological polymers,biosensors,fuel cells,petroleum engineering,and the natural environment.By deploying some suitable similarity transformation functions,the governing partial differential equations(PDEs)of the flow problem are rehabilitated into dimensionless forms.The accomplished ordinary differential equations(ODEs)are solved numerically through the bvp4c scheme via a built-in function in computational MATLAB software.The upshots of some prominent physical and bioconvection parameters including wall slip parameters,thermophoresis parameter,Brownian motion parameter,Reiner–Revlin nanofluid parameter,Prandtl number,Peclet number,Lewis number,bioconvection Lewis number,and the mixed convection parameter against velocity,temperature,nanoparticles concentration,and density of motile microorganism profiles are dichotomized and pondered through graphs and tables.The presented computations show that the velocity profiles are de-escalated by the wall slip parameters while the thermal and solutal fields are upgraded with augmentation in thermophoresis number and wall slip parameters.The presence of thermal radiation enhances the temperature profile of nanofluid.The concentration profile of nanoparticles is boosted by intensification in activation energy.Furthermore,the increasing values of bioconvection Lewis number and Peclet number decay the motile microorganisms’field.

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

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.