Numerical Simulation for Bioconvection of Unsteady Stagnation Point Flow of Oldroyd-B Nanofluid with Activation Energy and Temperature-Based Thermal Conductivity Past a Stretching Disk

A mathematical modeling is explored to scrutinize the unsteady stagnation point flow of Oldroyd-B nanofluid under the thermal conductivity and solutal diffusivity with bioconvection mechanism.Impacts of Joule heating and Arrhenius activation energy including convective boundary conditions are studied,and the specified surface temperature and constant temperature of wall(CTW)are discussed.The consequences of thermal conductivity and diffusivity are also taken into account.The flow is generated through stretchable disk geometry,and the behavior of non-linear thermal radiation is incorporated in energy equation.The partial differential equations governing the fluid flow in the structure is reduced into dimensionless nonlinear ODEs by applying suitable similarity variables.The obtained system of non-dimensional nonlinear ODEs is treated numerically with the help of bvp4c solver in Matlab under shooting algorithm.The impact of various prominent parameters on velocity profile,thermal profile,volumetric nanoparticle concentration and microorganism distribution is depicted in graphical form.The numerical outcomes for skin friction coefficient,heat transfer rate,Sherwood number as well as microorganism density number versus various parameters are listed in the tables.The results show that fluid velocity is reduced by increasing buoyancy ratio parameter,while the fluid flow increases with mixed convective parameter.The temperature profile is enhanced with the amount of nonlinear thermal radiation and temperature dependent thermal conductivity.Furthermore,concentration profiles of nanoparticles have opposite behavior for Brownian motion coefficient and thermophoresis diffusion parameter,and it is noticed that by varying Peclet number the microorganisms profile is declined.The proposed study is useful to control and optimize heat transfer in industrial applications.

Numerical computation of Brownian motion and thermophoresis effects on rotational micropolar nanomaterials with activation energy

The current article investigates the numerical study of the micropolar nanofluid flow through a 3D rotating surface.This communication may manipulate for the aim such as the delivery of the drug,cooling of electronic chips,nanoscience and the fields of nanotechnology.The impact of heat source/sink is employed.Brownian motion and thermophoresis aspects are discussed.The rotating sheet with the impacts of Darcy-Forchheimer law is also scrutinized.Furthermore,the influence of activation energy is analyzed in the current article.The numerical analysis is simplified with the help of befitted resemblance transformations.The succor of the shooting algorithm with built-in solver bvp4c MATLAB software is used for the numerical solution of nonlinear transformed equations.The consequences of different physical factors on the physical engineering quantities and the subjective fields were examined and presented.According to outcomes,it can be analyzed that the flow profile declined with the rotational parameter.It is observed that angular velocity diminishes via a larger porosity parameter.Furthermore,the temperature gradient is declined via a larger magnitude of the Prandtl number.The heat transfer is enhanced in the occurrence of Brownian motion.The activations energy parameter causes an increment in the volumetric concentration field.Moreover,the local Nusselt number is reduced via a greater estimation of the porosity parameter.