Bödewadt flow of thermally radiative hybrid nanofluid under the implication of horizontal magnetic field

Abstract

It is a known fact that the implication of uniform magnetic field in transversal direction to fluid flow concerns the stabilization of velocity field and deterioration of heat transfer rate. It is now recognized that the applied uniform horizontal magnetic field is useful for stabilizing/destabilizing the flow rate, which is principally rely upon the direction angle such as cooling/heating the disk surface. Considering this, the present study investigates an incompressible three-dimensional Bödewadt flow above a stretchable with an implication of horizontal magnetic field. The Bödewadt flow defines a uniform and stable angular movement of fluid at sufficient large distance from the stationary surface. Such flow is balanced by the Centrifugal forces and is featured through radial pressure gradient. The radiative heat transfer attributes are characterized by the hybrid nanofluid, which is composition of Copper ( Cu ) and Titanium Dioxide ( Ti O 2 ) with water ( H 2 O ) as base fluid. A well-known approach of similarity variables is adopted to first normalize the flow model and then the resultant system of coupled non-linear ordinary differential equations is solved by Runge-Kutta-Fehlberg (RKF) MATLAB built-in package. The graphical results on flow and thermal fields are sketched for different values of dimensionless quantities. It is observed that direction angle in terms of horizontally applied magnetic field has stabilizing impact along radial axis close to the 0 ° or 90 ° , whereas destabilizing influence of direction angle is noticed between 30 ° − 60 ° . The temperature field is enhanced by the enlarged parametric values of thermal Biot number and solid volume fractions. Local Nusselt-number is increased at the disk surface by the radiation parameter.