Bio-convectional Nanofluid Flow Due to the Thermophoresis and Gyrotactic Microorganism Between the Gap of a Disk and Cone

The existing study observed 3-D Darcy-Forchheimer MHD Casson fluid, steady flow between the gap of a disk and a cone in a spinning scheme. Energy ascription is considered in the existence of thermophoresis effect and Brownian motion. Mass transfer and gyrotactic microorganism are also considered, and the impact of the various embedded constraints has been observed on these profiles. The similarity alterations are used to transform the partial differential equations into the set of ordinary differential equations (ODEs). To solve the ODEs, we have chosen the homotopy analysis method of BVPh 2.0 package. The important physical parameters of interest like, heat transfer rate, mass transfer, and motile have been calculated numerically and discussed. The obtained results show that the velocity profiles decreased for inertial parameter F-1, magnetic field M, and permeability constraint Kr. The effects of other constraints such as Brownian motion constraint N-b, Schmidt number Sc, Prandtl number Pr, and thermo physical constraint on the concentration and temperature fields have been analyzed and debated. The accumulative standards of the Casson constraint are declining the fluid motion. But the temperature field is rising with growing Casson parameter. It is detected that the motile density of microorganisms displays a falling behavior for rising values of Lewis and Peclet numbers.

Automated summary

The study investigated the steady flow of 3-D Darcy-Forchheimer MHD Casson fluid between a disk and a cone in a spinning scheme, considering the thermophoresis effect, Brownian motion, mass transfer, and gyrotactic microorganisms. The partial differential equations were transformed into ordinary differential equations using similarity alterations, and the ODEs were solved using the homotopy analysis method. The impact of various constraints on profiles, including velocity, concentration, and temperature fields, was analyzed numerically.