Analytical study of bifurcation of a flow of a gas between coaxial circular cylinders with evaporation and condensation

2000 ◽  
Vol 12 (10) ◽  
pp. 2639 ◽  
Author(s):  
Yoshio Sone ◽  
Toshiyuki Doi
Keyword(s):  
Analytical Study ◽  
Circular Cylinders ◽  
Evaporation And Condensation

scholarly journals On analytical study of factional Oldroyd-B flow in annular region of two torsionally oscillating cylinders

2012 ◽  
Vol 16 (2) ◽  
pp. 411-421 ◽  
Author(s):  
A. Mahmood
Keyword(s):  
Shear Stress ◽  
Velocity Field ◽  
Analytical Study ◽  
Analytic Solutions ◽  
Circular Cylinders ◽  
Second Grade ◽  
General Solutions ◽  
Exact Analytic Solutions ◽  
Governing Differential Equation ◽  
R Functions

The velocity field and the associated shear stress corresponding to the torsional oscillatory flow of a fractional Oldroyd-B fluid, also called generalized Oldroyd-B fluid (GOF), between two infinite coaxial circular cylinders, are determined by means of the Laplace and Hankel transforms. Initially, the fluid and cylinders are at rest and after some time both cylinders suddenly begin to oscillate around their common axis with different angular frequencies of their velocities. The exact analytic solutions of the velocity field and associated shear stress, that have been obtained, are presented under integral and series forms in terms of generalized G and R functions. Moreover, these solutions satisfy the governing differential equation and all imposed initial and boundary conditions. The respective solutions for the motion between the cylinders, when one of them is at rest, can be obtained from our general solutions. Furthermore, the corresponding solutions for the similar flow of classical Oldroyd-B, generalized Maxwell, classical Maxwell, generalized second grade, classical second grade and Newtonian fluids are also obtained as limiting cases of our general solutions.

An Analytical Study of Separated Flow About Circular Cylinders

1968 ◽  
Vol 90 (4) ◽  
pp. 511-518 ◽  
Author(s):  
T. Sarpkaya
Keyword(s):  
Analytical Study ◽  
Flow Model ◽  
Separated Flow ◽  
Shear Layers ◽  
The Body ◽  
Circular Cylinders ◽  
Vortex Sheets ◽  
Vortex Separation ◽  
Dependent Flow ◽  
Potential Flow Model

The forces acting on a circular cylinder by a time-dependent flow are analyzed through the use of a potential flow model. The shear layers which spring from the sides of the body are replaced by a combination of line vortices and infinite number of vortex sheets which connect the nascent vortices to their respective feeding zones. The analysis is then applied to the prediction of the kinematic and dynamic characteristics of symmetric vortex separation on circular cylinders. The results compare favorably with the latest available experimental data. The development of the wake is also traced and the results show the primary and secondary roll-ups of the shear layers as represented by the line vortices and vortex sheets.

EVAPORATION AND CONDENSATION IN 3He-4He MIXTURE SYSTEMS

1978 ◽  
Vol 39 (C6) ◽  
pp. C6-194-C6-195
Author(s):  
S. Ohta ◽  
Y. Sawada
Keyword(s):  
Evaporation And Condensation
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