scholarly journals Analytical Solution of Two-Dimensional Viscous Flow Between Slowly Expanding or Contracting Walls with Weak Permeability

2010 ◽  
Vol 15 (5) ◽  
pp. 957-961 ◽  
Author(s):  
Z.Z. Ganji ◽  
D.D. Ganji ◽  
A. Janalizadeh
Keyword(s):  
Analytical Solution ◽  
Viscous Flow ◽  
Two Dimensional ◽  
Expanding Or Contracting Walls

scholarly journals Analytical Solution Of Two-dimensional Viscous Flow Between Slowly Expanding Or Contracting Walls With Weak Permeability

2012 ◽  
Vol 05 (04) ◽  
pp. 331-336 ◽  
Author(s):  
Arash Yahyazadeh ◽  
Hossein Yahyazadeh ◽  
Mohammadtaghi Khalili ◽  
Milad Malekzadeh
Keyword(s):  
Analytical Solution ◽  
Viscous Flow ◽  
Two Dimensional ◽  
Expanding Or Contracting Walls

scholarly journals Lie-group method solution for two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability

2007 ◽  
Vol 31 (6) ◽  
pp. 1092-1108 ◽  
Author(s):  
Youssef Z. Boutros ◽  
Mina B. Abd-el-Malek ◽  
Nagwa A. Badran ◽  
Hossam S. Hassan
Keyword(s):  
Viscous Flow ◽  
Lie Group ◽  
Group Method ◽  
Two Dimensional ◽  
Lie Group Method ◽  
Expanding Or Contracting Walls

Two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability

2002 ◽  
Vol 35 (10) ◽  
pp. 1399-1403 ◽  
Author(s):  
Joseph Majdalani ◽  
Chong Zhou ◽  
Christopher A. Dawson
Keyword(s):  
Viscous Flow ◽  
Two Dimensional ◽  
Expanding Or Contracting Walls

An analytical solution of a two-dimensional temperature field in a hollow cylinder under a time periodic boundary condition using Fourier series

2009 ◽  
Vol 223 (8) ◽  
pp. 1889-1901 ◽  
Author(s):  
G Atefi ◽  
M A Abdous ◽  
A Ganjehkaviri ◽  
N Moalemi
Keyword(s):  
Boundary Condition ◽  
Temperature Field ◽  
Fourier Series ◽  
Temperature Distribution ◽  
Analytical Solution ◽  
Hollow Cylinder ◽  
Periodic Boundary Condition ◽  
Periodic Boundary ◽  
Separation Of Variables ◽  
Two Dimensional

The objective of this article is to derive an analytical solution for a two-dimensional temperature field in a hollow cylinder, which is subjected to a periodic boundary condition at the outer surface, while the inner surface is insulated. The material is assumed to be homogeneous and isotropic with time-independent thermal properties. Because of the time-dependent term in the boundary condition, Duhamel's theorem is used to solve the problem for a periodic boundary condition. The periodic boundary condition is decomposed using the Fourier series. This condition is simulated with harmonic oscillation; however, there are some differences with the real situation. To solve this problem, first of all the boundary condition is assumed to be steady. By applying the method of separation of variables, the temperature distribution in a hollow cylinder can be obtained. Then, the boundary condition is assumed to be transient. In both these cases, the solutions are separately calculated. By using Duhamel's theorem, the temperature distribution field in a hollow cylinder is obtained. The final result is plotted with respect to the Biot and Fourier numbers. There is good agreement between the results of the proposed method and those reported by others for this geometry under a simple harmonic boundary condition.

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