Abstract
In this paper, the steady flow of an incompressible conducting micropolar fluid through a rectangular channel with uniform cross-section in the presence of a transverse magnetic field with suction and injection at the side walls is considered. Neglecting the induced magnetic and electric fields, velocity and micro-rotation vectors are obtained in terms of a Fourier series. The volumetric flow rate is calculated and the effect of micro-rotation parameter and geometric parameter, Hartmanns number on this are graphically shown and discussed.
Highlights
The theory of micropolar fluids introduced by Eringen[1,2] has received considerable attention of researchers during the last four decades
The values of w at the boundary x = ± 1 are of order 10-16 which can be taken as zero. This shows that the solution is satisfied at the boundary for x = ±1. This is shown in figures 7 and 8.Volumetric flow rate is given by equation (36) and it is numerically calculated and is shown in the form of figures 9–14
From these we observe that volumetric flow rate Q increases when i) the couple stress parameter s increases, ii) Reynolds number increases and iii) the cross viscosity parameter or coupling number c increases
Summary
The theory of micropolar fluids introduced by Eringen[1,2] has received considerable attention of researchers during the last four decades. In a very popular paper, Sparrow et al.[3] have considered the entrance flow of a viscous fluid through a tube of arbitrary cross section This problem was analyzed numerically in the case of a rectangular duct using finite element method by Comini et al..[4] Chien Fan[5] studied the unsteady flow of a viscous fluid through a rectangular channel. Ramana Murthy and Bahali[19,20] have examined the MHD flow of a micropolar fluid through a circular pipe and a rectangular duct In this present paper, we consider the flow of a micropolar fluid through a rectangular channel with suction/ injection applied at the opposite sides under a constant magnetic field in transverse direction to the tube and suction velocity. The problem is formulated and solved by proposing a suitable Fourier series to the flow
Sign-in/Register to view highlights & summary 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.
