The Transportation of Maxwell Fluid in the Rotating and Stretching System: Rotor-Stator Spinning Disc Reactor Applications

Abstract

We have developed a mathematical model and obtained a numerical solution for the motion of a non-Newtonian Maxwell fluid between two disks having rotation and stretching velocity with convective boundary constraints, porous medium and thermal radiation. The present Maxwell fluid flow model with specified boundary constraints is not discussed so far. The proposed model has a lot of applications in electrical power generation, nuclear energy plants, astrophysical flows, space vehicles, geothermal extractions, and spinning disc reactor. The Von Karman similarity approach is used for the solution and validation of the solution is also provided. The solution is obtained numerically with finite difference method (FDM) based ND-solve command in Mathematica software. The effects of magnetic field, porous medium, radiation parameter, Deborah number, Prandtl number, and Reynolds number on skin friction, heat transfer, flow and temperature fields are discussed in detail. Due to the significant void fraction in the medium, porosity parameter shows unique trend compared to other parameters for the radial velocity profile. It has tendency to enhance the radial velocity near both the disc but in the middle part of system, porosity parameter retards radial velocity significantly.