Opanuga, A. A. and Adesanya, Samuel O. and Bishop, S.A. and Okagbue, H. I. and Agboola, Olasunmbo O. (2020) Entropy Generation of Unsteady MHD Couette Flow through Vertical Microchannel with Hall and Ion Slip Effects. International Journal of Applied Mathematics, 50 (3).
![[img]](http://eprints.covenantuniversity.edu.ng/style/images/fileicons/application_pdf.png) |
PDF
Download (2MB) |
Abstract
In this work, the entropy generation of unsteady hydromagnetic Couette flow through vertical microchannel has been considered, the effects of Hall current and Ion-slip are also examined. One of the plates moves with uniform velocity in the direction of the fluid flow while the other plate is stationary. The partial differential equations governing the flow are obtained and transformed to ordinary differential equations. The obtained solutions for the velocity and energy equations via differential transform technique are used to calculate the entropy generation and Bejan number. The results are presented through plots and discussed. It is noticed that primary velocity decreases with increase in Hall current, ionslip and magnetic field parameters whereas it increases as rarefaction parameter, wall-ambient temperature difference ratio, Brinkman number and Grashof number increase in values. Also secondary velocity receives a boost with increase in Hall current, Ion-slip, rarefaction parameters, wall-ambient temperature difference ratio, Brinkman and Grashof numbers. Furthermore, entropy generation is minimised as Hall current, Ion-slip and rarefaction parameters increase.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Couette flow, Bejan number, entropy generation, differential transform method (DTM), vertical microchannel. |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics |
| Depositing User: | nwokealisi |
| Date Deposited: | 13 Jun 2024 15:14 |
| Last Modified: | 13 Jun 2024 15:14 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/18095 |
Actions (login required)
 |
View Item |
