Abstract
An analysis is presented for the flow of non-Newtonian Williamson fluid due to permeable sheet. The recent modification of Fourier’s law of heat conduction, i.e. Model of Cattaneo-Christov heat flux is studied in present article to analysis the heat flux. The permeable sheet undergoes suction and the effect of Soret and Dufour is also investigated The governing boundary layer equations are transformed into a non-dimensional form using appropriate set of transformation and the resulting non-linear coupled system of ordinary differential equations are solved using robust Homotopy Analysis method. The influence of physical parameter affecting the velocity of fluid, heat and mass transfer are discussed and outputs are expressed in figures and tables. Some interesting results are found from the study that the velocity profile is decelerating with increase in magnetic parameter. Increasing Darcy number accelerates the flow due to a corresponding rise in permeability of the regime and concomitant decrease in Darcian impedance.
Highlights
The electrically conducting fluid flow in the presence of magnetic field (MagnetoHydrodynamics) over permeable stretching sheet has importance and applications in heat exchanger, metal-working process in hot rolling, cooling process of nuclear reactor containment vessel and petrochemical industry
By incorporating MHD effect, the impact of boundary layer flow due to stretching sheet can be improved by applying magnetic field normal to the plane of the sheet which has the electrically conducting fluid
The flow of electrical conducting Newtonian fluid in presence of uniform magnetic field between two parallel plates is analysed by Hartman and Lazarus [3]
Summary
The electrically conducting fluid flow in the presence of magnetic field (MagnetoHydrodynamics) over permeable stretching sheet has importance and applications in heat exchanger, metal-working process in hot rolling, cooling process of nuclear reactor containment vessel and petrochemical industry. Kumar et al [17] have analyzed the impact of non-uniform source of heat on the Williamson fluid flow past curved sheet. Motivated by above discussed numerous applications, the present article probes the boundary layer flow of Williamson fluid induced by permeable stretching sheet in the presence of electro-magnetic field, chemical reaction, Soret and Dufour effects. Homotopy analysis method (HAM) [18] is used to analyse the flow behaviour of Williamson fluid due to permeable stretching sheet in presence of magnetic field.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
