Abstract
This paper analyzes the MHD flow of micropolar fluid induced by peristaltic waves passing through the porous saturated channel at large Reynolds number. The flow model is formulated in the absence of assumptions of lubrication theory which yields the governing equations into a non-linear set of coupled partial differential equations which allows studying the peristaltic mechanism at non-zero Reynolds and wave numbers. The influence of other involved parameters on velocity, stream function and microrotation are discussed through graphs plotted by using Galerkin’s finite element method. Besides that, the phenomena of pumping and trapping are also analyzed in the later part of the paper. To ensure the accuracy of the developed code, obtained results are compared with the results available in the literature and found in excellent agreement. It is found that the peristalsis mixing can be enhanced by increasing Hartmann number while it reduces by increasing permeability of the porous medium.
Highlights
Scientist, researchers and biologist show deep interest in the study of the problems of fluid flow through the porous medium due to its extensive range of applications in industry including geophysical and biological transportation of fluid in the human body and plants, extraction of oils from underground oil reservoirs[1,2] etc
We presented the results in the shape of graphs of longitudinal velocity, pressure distribution, contours of streamlines, vorticity and microrotation for the peristaltic flow of micropolar fluid
First time in the literature, the effects of magnetic field and porosity parameter at non-zero moderate Reynolds number are discussed by setting suitable values of the participated parameters through the plotted graph
Summary
Researchers and biologist show deep interest in the study of the problems of fluid flow through the porous medium due to its extensive range of applications in industry including geophysical and biological transportation of fluid in the human body and plants, extraction of oils from underground oil reservoirs[1,2] etc. Kumar and Naidu[17] studied the two-dimensional peristaltic flow under the influence of magnetic field by converting governing equations in the stream-vorticity formulation Unlike earlier studies, they claimed that their solution is well convergent at high values of Reynolds number even up to 100 but they did not give any comparison of their solution with Takabatake et al.[15] Few studies are available for the peristaltic motion in which assumptions of lubrication theory are not considered to study the effects of inertial forces on flow field.[18,19]. We present modeling and solution of the peristaltic motion of non-Newtonian micropolar fluid through the porous-saturated channel under the externally applied uniform magnetic field for non-zero Reynolds and wave numbers evaluated by a numerical approach. The contours of streamlines and microrotation along with vorticity is provided with detailed discussion in the later part
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
