Asymptotic stability of linearly evolving non-stationary modes in a uniform hydromagnetic field over a rotating-disk flow with suction and injection

Abstract

In this paper the linear stability properties of the magnetohydrodynamic flow of an incompressible, viscous and electrically conducting fluid are investigated for the boundary-layer due to an infinite permeable rotating-disk. The fluid is subjected to an external magnetic field perpendicular to the disk. The interest lies also in finding out the effects of uniform suction or injection. In place of the traditional linear stability method, a theoretical approach is adopted here based on the high-Reynolds-number triple-deck theory. It is demonstrated that the nonstationary perturbations evolve in accordance with an eigenrelation analytically obtained.

Magnetic and chemical reaction effects on double‐diffusive convection with the effect of heat and salt flux boundary conditions

“…For example, Jena et al, 4 Liu and Umavathi, 5 Umavathi and Mohite, 6 Agarwal et al, 7 Zhuang et al, 8 Liu et al, 9 Siddiqa et al, 10 Shankar et al, 11 Raghunatha and Shivakumara, 12 Altawallbeh, 13 Mahajan and Tripathi, 14 and counts into the books by Nield et al, 15 Straughan, 16 and Vafai 17 . Moreover, the convection with the chemical reaction and magnetic effects has been much attention by many authors, see, for example, Turkyilmazoglu et al, 18 Turkyilmazoglu, 19,20 Malashetty and Biradar, 21 Ghasemi et al, 22 Teamah et al, 23 Al‐Sulaimi, 24 Yu et al, 25 Israel‐Cookey et al, 26 Gautam and Narayana, 27 Deepika et al, 28 Ebiwareme and Israel‐Cookey, 29 Mishra and Kumar, 30 Mahajan and Tripathi, 31 and Shivakumara et al 32 Recently, Noon and Haddad 33 investigated the impacts of varying gravity and rotation that combined with the reaction effect on the double‐diffusive convection of the Darcy model in a porous material using the linear and nonlinear stability analysis when the layer heated from the bottom and salted from the above or below. The linear, parabolic, and exponential kinds of varying gravity functions are discussed.…”