The Effect of a Magnetic Field on the Stability of Fluid Flow in a Porous Channel
Article Sidebar
Main Article Content
Abstract
In this article, we investigate the stability of flowing fluid in a horizontal cavity. The walls of which consists of a porous material under the influence of a magnetic field (MF) perpendicular to the cavity plane. We find that the real part of the wave velocity is negative for any value of the Hartmann number and the Ghratshof number is greater than zero. In addition, we convert the governing equations to non-dimensional formulas. So, we obtain that Reynolds number, wave number (k), Hartmann number , Ghratshof number, and Darcy number affect on the stability of the model through the graphs of these numbers.
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
Hammodat A., and Jumaa A.M.,"Stability Analysis for Inclined Channel by an Angle 30 with the Presence of Magnetic Field," AL-Rafidain Journal of Computer Sciences and Mathematics, vol. 10, no. 2,pp. 143-152, 2013.
Available http://dx.doi.org/10.33899/csmj.2013.163481
Hammodat A., and Shuker T.,"Stability Analysis of a Fluid in Horizontal and Oblique Glass Cavities," AL-Rafidain Journal of Computer Sciences and Mathematics, vol.11, pp. 89-97, 2014. Available https://doi.org/10.33899/csmj.2014.163758
K. Jabr, and A. Ahmed," Influence of MHD on Steady State Newtonian Fluid Flow in a Vertical Channel with Porous Wall using HAM," Iraqi Journal of Science, Vol. 55, pp.811-821, 2014.
Namdeppanavar M.M., and Shilpa J.M., "Stagnation Point Flow of Non-Newtonian Fluid and Heat Transfer over Stretching/Shrinking Sheet," Chemical and Process Engineering Research, vol. 46, pp. 27-34, 2016.
K. Kumari,and M. Goyal," Heat and Mass Transfer Flow of MHD Viscous Dissipative Fluid in a Channel with a Stretching and Porous Plate," An International Journal of Applied Mathematics and Information Sciences Letters,vol. 5, pp. 81-87, 2017.
El-Amin M., and et al," Numerical Study of the Magnetic Field Effect on Ferromagnetic Fluid Flow and Heat Transfer in a Square Porous Cavity," energies, Vol.11, pp. 3235, 2018. Available http://dx.doi.org/10.3390/en11113235
Rahman A., and et al, "Influence of Magnetic Force on the Flow Stability in a Rectangular Duct," Advances in Appl. Math. and Mech., vol. 11, no.1, pp. 24-37, 2019.
Hammodat A., and Alobaidy I.,"New Study of the Stability of Fluid Flow in a Porous Channel under Effects of Magnetic Field and Radiation,"Open Access Library Journal, vol. 7, pp. 2333-9705, 2020.
Hammodat A., and et al ,"Numerical Solution of Energy Equation in Porous Channels under Effects of Radiation Field," Iraqi Journal of Science, vol. 62, no.10,pp. 3620-3633,2021 Available DOI:10.24996/ijs.2021.62.10.20
Adeshina T., and Joel C.,"Effect of the Variable Electrical Conductivity on the Thermal Stability of the MHD Reactive Squeezed Fluid Flow Through a Channel by a Spectral Collocation Approach, Partial Differential Equations in Applied Mathematics", vol. 5, 2002. Available https://doi.org/10.1016/j.padiff.2021.100256
Zimmerman R.W., and et al. ,"Lubrication Theory Analysis of the Permeability of Rough- Walled Fractures," International Journal of Rock Mechanics and Mining Sciences & Geomechanic Abstracts, vol. 28, no. 4, pp. 325, 1991.
Available https://doi.org/10.1016/0148-9062(91)90597-F
Cookey C., and Omubo-Pepple V.,"On Steady Hydro Genetic Flow of a Radiating Viscous Fluid Through a Horizontal Channal in a Porous Media," AMERICAN Journal of Science and Industrial Research, vol. 1, p.p. 203-208, 2010.
Martha L., and James P.,''Maple by Example, 3rd Edition, Elsevier'', 2005