Bubble Growth in a Viscous Liquid Due to a Transient Pulse

1970 ◽  
Vol 92 (4) ◽  
pp. 815-818 ◽  
Author(s):  
Din-Yu Hsieh
Keyword(s):  
Experimental Study ◽  
Incompressible Fluid ◽  
Viscous Liquid ◽  
Stress Wave ◽  
Bubble Growth ◽  
Viscous Incompressible Fluid ◽  
High Viscosity ◽  
Spherical Bubble ◽  
Cavitation Inception ◽  
Wave Technique

The growth of a spherical bubble in a viscous, incompressible fluid due to a transient tension is analyzed. The maximum attainable radius of the bubble is derived. The problem is closely related to the experimental study of cavitation inception by the stress wave technique. The analysis reveals clearly the role played by the viscosity and shows that for liquids of high viscosity the stress wave technique can be employed advantageously to determine the average sizes of the nuclei of cavitation.

Slender-body theory for slow viscous flow

1976 ◽  
Vol 75 (4) ◽  
pp. 705-714 ◽  
Author(s):  
Joseph B. Keller ◽  
Sol I. Rubinow
Keyword(s):  
Integral Equation ◽  
Incompressible Fluid ◽  
Viscous Incompressible Fluid ◽  
Unit Length ◽  
The Body ◽  
Slender Body ◽  
Slow Flow ◽  
Slender Body Theory ◽  
Slow Viscous Flow ◽  
Body Theory

Slow flow of a viscous incompressible fluid past a slender body of circular crosssection is treated by the method of matched asymptotic expansions. The main result is an integral equation for the force per unit length exerted on the body by the fluid. The novelty is that the body is permitted to twist and dilate in addition to undergoing the translating, bending and stretching, which have been considered by others. The method of derivation is relatively simple, and the resulting integral equation does not involve the limiting processes which occur in the previous work.

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.

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