Direct Spatial Resonance in the Compressible Boundary Layer on a Rotating-disk

Türkyılmazoğlu, Mustafa; Uygun, Nihan

doi:10.1007/s00162-006-0018-x

Theoret. Comput. Fluid Dynamics

2006

DOI: 10.1007/s00162-006-0018-x

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Direct Spatial Resonance in the Compressible Boundary Layer on a Rotating-disk

Mustafa Türkyılmazoğlu¹,

Nihan Uygun²

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Cited by 2 publications

References 53 publications

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Primary instability mechanisms on the magnetohydrodynamic boundary layer flow over a rotating disk subject to a uniform radial flow

Türkyılmazoğlu

2009

Physics of Fluids

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This paper is devoted to the investigation of three primary linear instability mechanisms due to the resonating disturbance waves present in the three-dimensional incompressible viscous/inviscid rotating disk boundary layer flow, extending our earlier still outer fluid work [M. Turkyilmazoglu, “Resonance instabilities on the boundary layer flow over a rotating-disk under the influence of a uniform magnetic field,” J. Eng. Math. 59, 337 (2007)] to a uniform nonzero radial flow. A spatiotemporal linear stability analysis is conducted to search for the influences of physical parameters on the possible important mechanisms of resonances leading to, respectively, the absolute instability, the direct spatial instability, and the direct temporal instability. The radial flow is shown to act in the way of stabilizing all the possible mechanisms considered, more pronouncedly as the magnetic field gets strengthened. The onset of absolute instability and convective temporal instability is found to be more sensitive to the variations in the radial flow than is the onset of convective direct spatial instability. Although a considerable delay of the onset of absolute instability as well as temporal instability can be achieved by increasing the magnitude of the radial flow, the direct spatial resonance instability mechanism persists to occur for low Reynolds numbers, while the flow is still in the laminar regime, which is expected to trigger nonlinearity just prior to transition to turbulence.

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Primary instability mechanisms on the magnetohydrodynamic boundary layer flow over a rotating disk subject to a uniform radial flow

Türkyılmazoğlu

2009

Physics of Fluids

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Effects of magnetic field and porosity on compressible flow in an asymmetric channel

Rafaqat

Khan

2023

Int. J. Mod. Phys. B

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This study addressed the compressible flow of viscous fluid in an asymmetric channel under peristalsis. The difference in amplitudes and phase of traveling waves created the asymmetry of channel. Simultaneous effect of magnetic field is also incorporated. Fluid flows through a porous medium. The analytical treatment of the solution is carried out by considering upper wall amplitude as the small parameter. The expressions of flow rate and net axial velocity are constructed for the second-order approximation. Numerical integration is employed to calculate net flow rate. The role of sundry parameters is illustrated graphically. Trapping phenomenon is also taken into account by plotting streamlines against sundry parameters. The significant finding of this study is that flow rate and axial velocity enhance as fluid transitions from hydrodynamic to hydromagnetic. Enhancement in the compressibility parameter trims down the velocity and the flow rate as well. Also, asymmetry of the channel causes an enhancement in the flow rate. This model is the most prevailing version of compressible flow under peristalsis through an asymmetric channel. The findings of this study have worth mentioning yields, which can be applicable in numerous areas of fluid dynamics and aircraft industry.

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Direct Spatial Resonance in the Compressible Boundary Layer on a Rotating-disk

Cited by 2 publications

References 53 publications

Primary instability mechanisms on the magnetohydrodynamic boundary layer flow over a rotating disk subject to a uniform radial flow

Primary instability mechanisms on the magnetohydrodynamic boundary layer flow over a rotating disk subject to a uniform radial flow

Effects of magnetic field and porosity on compressible flow in an asymmetric channel

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