Integrals of two-dimensional motions of a perfect incompressible fluid of nonuniform density

1987 ◽  
Vol 22 (3) ◽  
pp. 340-343 ◽  
Author(s):  
V. A. Vladimirov
Keyword(s):  
Incompressible Fluid ◽  
Two Dimensional ◽  
Perfect Incompressible Fluid

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.

Upward ‘falling’ jets and surface tension

1957 ◽  
Vol 2 (2) ◽  
pp. 201-203 ◽  
Author(s):  
Joseph B. Keller ◽  
Mortimer L. Weitz
Keyword(s):  
Surface Tension ◽  
Incompressible Fluid ◽  
Two Dimensional ◽  
Parabolic Shape ◽  
Parabolic Trajectory ◽  
Hydraulic Theory

According to the simple hydraulic theory of jets, each particle of a jet moves independently along a parabolic trajectory. Therefore a steady jet has a parabolic shape. We wish to consider how these results are modified by surface tension. For simplicity we will consider a two-dimensional jet of incompressible fluid.

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

Secondary circulation in fluid flow

1951 ◽  
Vol 206 (1086) ◽  
pp. 374-387 ◽  
Keyword(s):  
Fluid Flow ◽  
Incompressible Fluid ◽  
Velocity Distribution ◽  
Secondary Flow ◽  
General Expression ◽  
Total Pressure ◽  
Secondary Circulation ◽  
Perfect Incompressible Fluid ◽  
Uniform Velocity ◽  
Circular Pipes

Secondary circulation appears after fluid with a non-uniform velocity distribution passes round a bend. It alters the character of the flow and is a source of loss. A general expression is developed for its change along a streamline in a perfect, incompressible fluid. The flow in bent circular pipes is analyzed and the theory is compared with experiments on bent pipes and rectangular ducts. In bends the secondary flow is not spiral but oscillatory, the direction of the circulation changing periodically. The theory shows that secondary circulation remains unchanged if streamlines are geodesics on surfaces of constant total pressure.

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