Abstract
New exact solutions for unsteady magnetohydrodynamic (MHD) flows of an Oldroyd‐B fluid have been derived. The Oldroyd‐B fluid saturates the porous space. Two different flow cases have been considered. The analytical expressions for velocity and shear stress fields have been obtained by using Laplace transform technique. The corresponding solutions for hydrodynamic Oldroyd‐B fluid in a nonporous space appeared as the limiting cases of the obtained solutions. Similar solutions for MHD Newtonian fluid passing through a porous space are also recovered. Graphs are sketched for the pertinent parameters. It is found that the MHD and porosity parameters have strong influence on velocity and shear stress fields.
Highlights
The behavior of viscoelastic materials in the response of many polymeric liquids are best described by Oldroyd-B fluid model 1
This section includes the graphical illustrations of various results from the flow analyzed in this paper
The results have been interpreted for various values of permeability parameter K and MHD parameter M
Summary
The behavior of viscoelastic materials in the response of many polymeric liquids are best described by Oldroyd-B fluid model 1. Several authors 4–20 have discussed the different motions of Oldroyd-B fluids in different geometries using various approaches for the solution. The literature survey revealed that very few attempts are available in which the flows of electrically conducting Oldroyd-B fluid through a porous medium are studied 21–26. The basic objective of the present paper is to study the motion of OldroydB fluid taking into account both magnetic and porosity effects. To the best of authors knowledge so far no study has been reported in which the MHD flow of an Oldroyd-B fluid passing through a porous medium has been considered for the following two cases: i flow due to impulsive motion of the plate and ii flow due to uniform motion of the plate. The graphical results are displayed and discussed in the last section
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
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
