Phase Effect on Mode Coupling in Kelvin–Helmholtz Instability for Two-Dimensional Incompressible Fluid

2009 ◽  
Vol 52 (4) ◽  
pp. 694-696 ◽  
Author(s):  
Wang Li-Feng ◽  
Teng Ai-Ping ◽  
Ye Wen-Hua ◽  
Xue Chuang ◽  
Fan Zheng-Feng ◽  
...  
Keyword(s):  
Incompressible Fluid ◽  
Mode Coupling ◽  
Two Dimensional ◽  
Helmholtz Instability ◽  
Phase Effect

scholarly journals Study on the Kelvin-Helmholtz instability in two-dimensional incompressible fluid

2009 ◽  
Vol 58 (7) ◽  
pp. 4787
Author(s):  
Wang Li-Feng ◽  
Ye Wen-Hua ◽  
Fan Zheng-Feng ◽  
Li Ying-Jun
Keyword(s):  
Incompressible Fluid ◽  
Two Dimensional ◽  
Helmholtz Instability

Effects of Heat Transfer During Peristaltic Transport in Nonuniform Channel With Permeable Walls

2016 ◽  
Vol 139 (1) ◽  
Author(s):  
Siddharth Shankar Bhatt ◽  
Amit Medhavi ◽  
R. S. Gupta ◽  
U. P. Singh
Keyword(s):  
Heat Transfer ◽  
Reynolds Number ◽  
Incompressible Fluid ◽  
Friction Force ◽  
Viscous Incompressible Fluid ◽  
Peristaltic Transport ◽  
Two Dimensional ◽  
Peristaltic Motion ◽  
Long Wavelength ◽  
Permeable Walls

In the present investigation, problem of heat transfer has been studied during peristaltic motion of a viscous incompressible fluid for two-dimensional nonuniform channel with permeable walls under long wavelength and low Reynolds number approximation. Expressions for pressure, friction force, and temperature are obtained. The effects of different parameters on pressure, friction force, and temperature have been discussed through graphs.

Internal waves in a viscous atmosphere

1975 ◽  
Vol 72 (4) ◽  
pp. 773-786 ◽  
Author(s):  
W. L. Chang ◽  
T. N. Stevenson
Keyword(s):  
Energy Source ◽  
Incompressible Fluid ◽  
Internal Waves ◽  
Infinite Number ◽  
Similarity Solution ◽  
Small Amplitude ◽  
Horizontal Plane ◽  
Two Dimensional ◽  
The Waves ◽  
Isothermal Atmosphere

The way in which internal waves change in amplitude as they propagate through an incompressible fluid or an isothermal atmosphere is considered. A similarity solution for the small amplitude isolated viscous internal wave which is generated by a localized two-dimensional disturbance or energy source was given by Thomas & Stevenson (1972). It will be shown how summations or superpositions of this solution may be used to examine the behaviour of groups of internal waves. In particular the paper considers the waves produced by an infinite number of sources distributed in a horizontal plane such that they produce a sinusoidal velocity distribution. The results of this analysis lead to a new small perturbation solution of the linearized equations.

Elbows for Accelerated Flow

1947 ◽  
Vol 14 (2) ◽  
pp. A108-A112
Author(s):  
G. F. Carrier
Keyword(s):  
Fluid Mechanics ◽  
Incompressible Fluid ◽  
Compressible Medium ◽  
Two Dimensional ◽  
Volume Relation ◽  
Accelerated Flow

Abstract It is of interest in the field of fluid mechanics to determine the shape of that two-dimensional channel which will most effectively turn a stream of fluid through an angle β while simultaneously increasing its velocity by a factor r. In the present paper, criteria which such a channel should satisfy are suggested and an elbow which meets these requirements is obtained. The solution is carried out first for a nonviscous incompressible fluid and then for the compressible medium using the Karmen-Tsien linearized pressure-volume relation.

scholarly journals Mode coupling and resonance instabilities in quasi-two-dimensional dust clusters in complex plasmas

2014 ◽  
Vol 90 (3) ◽  
Author(s):  
Ke Qiao ◽  
Jie Kong ◽  
Jorge Carmona-Reyes ◽  
Lorin S. Matthews ◽  
Truell W. Hyde
Keyword(s):  
Mode Coupling ◽  
Two Dimensional ◽  
Complex Plasmas

UNIVERSAL PRANDTL NUMBER IN TWO-DIMENSIONAL KRAICHNAN-BATCHELOR TURBULENCE

2008 ◽  
Vol 22 (20) ◽  
pp. 3421-3431
Author(s):  
MALAY K. NANDY
Keyword(s):  
Prandtl Number ◽  
Mode Coupling ◽  
Perturbation Expansion ◽  
Dynamic Scaling ◽  
Two Dimensional ◽  
Turbulent Prandtl Number ◽  
Energy Regime ◽  
Self Consistent ◽  
Prandtl Numbers

We evaluate the universal turbulent Prandtl numbers in the energy and enstrophy régimes of the Kraichnan-Batchelor spectra of two-dimensional turbulence using a self-consistent mode-coupling formulation coming from a renormalized perturbation expansion coupled with dynamic scaling ideas. The turbulent Prandtl number is found to be exactly unity in the (logarithmic) enstrophy régime, where the theory is infrared marginal. In the energy régime, the theory being finite, we extract singularities coming from both ultraviolet and infrared ends by means of Laurent expansions about these poles. This yields the turbulent Prandtl number σ ≈ 0.9 in the energy régime.

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