scholarly journals Stokes Flow between Two Cylinders

2012 ◽  
Vol 36 (1) ◽  
pp. 123-135
Author(s):  
A Murad ◽  
SK Sen
Keyword(s):  
Viscous Fluid ◽  
Stokes Flow ◽  
Hydrodynamic Force ◽  
Outer Cylinder ◽  
Fluid Motion ◽  
Circular Cylinders ◽  
Two Dimensional ◽  
Line Sink ◽  
Academy Of Sciences ◽  
Viscous Fluid Motion

The two-dimensional slow viscous fluid motion between two co-axial circular cylinders showed  the inner cylinder is shear-free and the outer one is rigid. The flow is due to the presence of a line source and a line sink of equal strength on the outer cylinder. The stream function for the flow in the annular region is established. The hydrodynamic force on the inner shear-free cylinder has been  evaluated. Some numerical values for the force have been presented in a table and compared with  corresponding known values where both inner and outer cylinders are rigid. DOI: http://dx.doi.org/10.3329/jbas.v36i1.10928 Journal of Bangladesh Academy of Sciences, Vol. 36, No. 1, 123-135, 2012

scholarly journals A Problem on Viscous Fluid Motion Between two Fixed Cylinders

1970 ◽  
Vol 33 (1) ◽  
pp. 107-115
Author(s):  
SK Ken ◽  
MJ Ahammad
Keyword(s):  
Viscous Fluid ◽  
Stokes Equations ◽  
Unit Length ◽  
Outer Cylinder ◽  
Fluid Motion ◽  
Circular Cylinders ◽  
Two Dimensional ◽  
Fluid Bed ◽  
Academy Of Sciences ◽  
Viscous Fluid Motion

A problem on the two dimensional slow viscous fluid motion obeying the Stokes equations is solved in terms of the Earnshaw stream function, when a line source and equal line sink are arbitrarily situated in a viscous fluid bed between two fixed co-axial circular cylinders. Fluid mechanical properties of interest, such as drags and torques acting upon the cylinders are calculated. Also we have shown the variation of the forces per unit length on the inner cylinder with its radius keeping outer cylinder fixed, whose radius is assumed to be one. DOI: 10.3329/jbas.v33i1.2955 Journal of Bangladesh Academy of Sciences, Vol. 33, No. 1, 107-115, 2009

Flow due to a point source of momentum in a viscous fluid contained in a sphere

1967 ◽  
Vol 63 (1) ◽  
pp. 249-256
Author(s):  
K. B. Ranger
Keyword(s):  
Reynolds Number ◽  
Viscous Fluid ◽  
Stokes Flow ◽  
Fluid Motion ◽  
Perturbation Expansion ◽  
General Term ◽  
Axially Symmetric ◽  
Order Of Magnitude ◽  
Self Consistency ◽  
Viscous Fluid Motion

AbstractIt is argued that the zero Reynolds limit of the steady incompressible axially symmetric viscous fluid motion interior to a sphere due to a Landau source at the centre is a Stokes flow. The first three terms of the perturbation expansion are determined and the order of magnitude of the general term not derivable from the Landau source is established. Comparison of the convection terms with the diffusion terms for each order of the Reynolds number demonstrates self consistency at each stage of the expansion.

scholarly journals The rotation of two circular cylinders in a viscous fluid

1922 ◽  
Vol 101 (709) ◽  
pp. 169-174 ◽  
Keyword(s):  
Viscous Fluid ◽  
Boundary Conditions ◽  
Stream Function ◽  
Elastic Stress ◽  
Steady Motion ◽  
Elastic Equilibrium ◽  
Circular Cylinders ◽  
Two Dimensional ◽  
Concentric Circles ◽  
Hydrodynamical Problem

In a previous communication we employed the solution of the equation ∇ 4 ψ = 0 in bipolar co-ordinates defined by α + iβ = log x + i ( y + a )/ x + i ( y - a ) (1) to discuss the problem of the elastic equilibrium of a plate bounded by any two non-concentric circles. There is a well-known analogy between plain elastic stress and two-dimensional steady motion of a viscous fluid, for which the stream-function satisfies ∇ 4 ψ = 0. The boundary conditions are, however, different in the two cases, and the hydrodynamical problem has its own special difficulties.

Exact Solutions for the Flow of Fractional Maxwell Fluid in Pipe-Like Domains

2016 ◽  
Vol 8 (5) ◽  
pp. 784-794 ◽  
Author(s):  
Vatsala Mathur ◽  
Kavita Khandelwal
Keyword(s):  
Shear Stress ◽  
Velocity Field ◽  
Newtonian Fluid ◽  
Outer Cylinder ◽  
Fluid Motion ◽  
Maxwell Fluid ◽  
Circular Cylinders ◽  
Generalized Solutions ◽  
Special Cases ◽  
Graphical Illustration

AbstractThis paper presents an analysis of unsteady flow of incompressible fractional Maxwell fluid filled in the annular region between two infinite coaxial circular cylinders. The fluid motion is created by the inner cylinder that applies a longitudinal time-dependent shear stress and the outer cylinder that is moving at a constant velocity. The velocity field and shear stress are determined using the Laplace and finite Hankel transforms. Obtained solutions are presented in terms of the generalized G and R functions. We also obtain the solutions for ordinary Maxwell fluid and Newtonian fluid as special cases of generalized solutions. The influence of different parameters on the velocity field and shear stress are also presented using graphical illustration. Finally, a comparison is drawn between motions of fractional Maxwell fluid, ordinary Maxwell fluid and Newtonian fluid.

The Analysis of Wave Form for 3-D Wave Tank

2012 ◽  
Vol 463-464 ◽  
pp. 1392-1396
Author(s):  
Yun Wang ◽  
Bing Nan Li ◽  
Zhen Ying Xu ◽  
Yong Kang Zhang
Keyword(s):  
Numerical Model ◽  
Differential Equations ◽  
Viscous Fluid ◽  
Fluid Motion ◽  
Volume Of Fluid ◽  
Wave Form ◽  
Wave Tank ◽  
Form Analysis ◽  
Viscous Fluid Motion ◽  
D Wave

The 3-D numerical model of wave tank is developed considering the effects of wave generating and absorbing based on viscous fluid motion differential equations (N-S equation) and the volume of fluid (VOF) method by the use of FLUENT solver. The simulation is also made by the analysis of the existing methods of wave simulation. The wave form of the 3-D wave tank is analyzed with the result of diverse diversification at different wave location and their relationship. The flow path of each particle of the wave during the propagation is also been analyzed, which provides guidance for the wave form analysis.

Instability of Viscous Fluid Motion

Nature ◽  
1925 ◽  
Vol 115 (2887) ◽  
pp. 299-300 ◽  
Author(s):  
A. R. LOW
Keyword(s):  
Viscous Fluid ◽  
Fluid Motion ◽  
Viscous Fluid Motion
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