Numerical analysis of three-dimensional MHD flow of Casson nanofluid past an Numerical analysis of three-dimensional MHD flow of Casson nanofluid past an exponentially stretching sheet exponentially stretching sheet

No abstract

In this study, the heat and mass transfer of the blood flow, particularly in a capillary tube having a porous lumen and permeable wall in the presence of external magnetic field are considered. The velocity, temperature and concentration of blood flow become unsteady due to the time dependence of the stretching velocity, surface temperature and surface concentration. The thermal and mass buoyancy effect on blood flow, heat transfer and mass transfer are taken into account in the presence of thermal radiation. This analysis is very much useful in the treatment of cardiovascular disorders. The equations governing the flow under some assumptions are complex in nature, but capable of presenting the realistic model of blood flow using the theory of boundary layer approximation and similarity transformation. First, the system of coupled partial differential equations (PDEs) is converted into a system of coupled ordinary differential equations (ODEs). Then the solutions are obtained by Runge-Kutta method of 4thorder with shooting technique. The effects of various parameters such as Hartman number, radiation parameter, unsteadiness parameter, permeable parameter, thermal buoyancy parameter, Prandtl number, mass buoyancy parameter, velocity slip parameter, thermal slip parameter, Schmidt number on velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number are depicted through graphs. Local Sherwood number enhances because of increase in Schmidt number. Moreover, some of the important results, which are discussed in the present study and have an impact on diseases like hyperthermia, stoke and moyamoya in human body.

The natural convective flow of conducting viscous fluid between two coaxial vertical cylinders partially filled with a porous material has been studied. The flow field is subjected to externally applied magnetic field (control input) and stress jump condition at the interface of two regions. The surface of the inner cylinder is subject to the constant heat flux and outer cylinder is maintained at constant temperature. The Brinkman extended Darcy model has been applied to porous media flow. The analytical solutions of the physical model are carried out with the help of modified Bessel function and numerical solutions by Runge Kutta method associated with shooting technique. The important findings are: the permeability of the medium and interface condition play vital role for the output of the desired flow rate and consistency of flow, the squeezing of the annular gap produces a cooling effect on cylindrical surfaces, the noticeable momentum transport occurs in the region close to the interface of fluid and porous region, the adjustable magnetic field (force-act-at-a distance) and stress jump condition (act-at-the contact) are to be simulated for obtaining desired smooth flow pattern.

No abstract