Impact of Hall Current and Nonlinear Thermal Radiation on Jeffrey Nanofluid Flow in Rotating Frame

Abstract

This research article deals with the nonlinear thermally radiated influences on non-Newtonian nanofluid considering Jeffrey fluid in a rotating system. The governing equations of the nanofluid have been transformed to a set of differential nonlinear equations, using suitable similarity variables. The Homotopy Analysis Method (HAM) and Runge–Kutta Method of order 4 (RK Method of order 4) are used for the solution of the modeled problem. The variation of the skin friction, Nusselt number, Sherwood number, and their impacts on the velocity distribution, temperature distribution, and concentration distribution have been examined. The influence of the Hall effect, rotation, Brownian motion, porosity, and thermophoresis analysis are also investigated. Moreover, for comprehension of the physical presentation of the embedded parameters, Deborah number <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"><a:mi>β</a:mi></a:math> , viscosity parameter <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" id="M2"><c:mi>R</c:mi></c:math> , rotation parameter <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" id="M3"><e:mtext>Kr</e:mtext></e:math> , Brownian motion parameter <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" id="M4"><g:mtext>Nb</g:mtext></g:math> , porosity parameter <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" id="M5"><i:mi>γ</i:mi></i:math> , magnetic parameter <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" id="M6"><k:mi>M</k:mi></k:math> , Prandtl number <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" id="M7"><m:mi mathvariant="normal">Pr</m:mi></m:math> , thermophoretic parameter <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" id="M8"><p:mtext>Nt</p:mtext></p:math> , and Schmidt number <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" id="M9"><r:mtext>Sc</r:mtext></r:math> have been plotted and deliberated graphically. For large values of Brownian parameter, the kinetic energy increases, which in turn increases the temperature distribution, while the thermal boundary layer thickness decreases by increasing the radiation parameter, and the Hall parameter increases the motion of the fluid in horizontal direction. Also, the mass flux has been observed as a decreasing function at the lower stretching plate.

Topics & Concepts