Abstract
AbstractThe primary target of this paper is to obtain the analytic solutions for the incompressible unsteady flow of fractionalized MHD Jeffrey fluid over an accelerating porous plate with linear slip effect is assumed between fluid and the plate. The governing equations of Jeffrey fluid are developed by fractional calculus approach. The velocity distribution and its corresponding shear stress both are obtained in terms of generalized M-function by using Laplace transform technique and considering all initial and boundary conditions. We have also discussed that obtained results of fractionalized MHD Jeffrey fluid for different cases for instance, with and without slip effects, with and without MHD and porosity effects. The influence of the different parameters affected on the flow characteristic is deliberated with the help of graphs. Finally, the analysis among different fluid models exhibits by graphical illustrations.
Highlights
It is investigated from the last few decades, that many researchers are much interested in Non-Newtonian uids
The primary target of this paper is to obtain the analytic solutions for the incompressible unsteady ow of fractionalized MHD Je rey uid over an accelerating porous plate with linear slip e ect is assumed between uid and the plate
The main purpose of this present paper is to investigate the in uence of MHD fractionalized Je rey uids over an accelerated slipping porous plate
Summary
It is investigated from the last few decades, that many researchers are much interested in Non-Newtonian uids. The explanation behind such quickening interest is because of the extensive scope of utilization of nonNewtonian uids. The non-Newtonian uids have several applications in di erent regions for an instant, geophysics and biological sciences, petroleum, and chemical industries. In di erent models of non-Newtonian uids, it is shown that Je rey uid model is one of the signi cant models which de ned the best explanation of the rheological viscoelastic uids, it is used the time derivative rather than convected derivative [6 - 11]. The important and appropriate role of Je rey uid models is found in biological and uid mechanics due to
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