Two-dimensional viscous flow in a granular material with a void of arbitrary shape

2003 ◽  
Vol 15 (2) ◽  
pp. 554-567 ◽  
Author(s):  
G. P. Raja Sekhar ◽  
O. Sano
1947 ◽  
Vol 14 (2) ◽  
pp. A113-A118
Author(s):  
C. Concordia ◽  
G. K. Carter

Abstract The objects of this paper are, first, to describe an electrical method of determining the flow pattern for the flow of an incompressible ideal fluid through a two-dimensional centrifugal impeller, and second, to present the results obtained for a particular impeller. The method can be and has been applied to impellers with blades of arbitrary shape, as distinguished from analytical methods which can be applied directly only to blades of special shape (1).


2010 ◽  
Vol 82 (4) ◽  
Author(s):  
Christophe Cottin ◽  
Hugues Bodiguel ◽  
Annie Colin

1980 ◽  
Vol 22 (1) ◽  
pp. 290-294 ◽  
Author(s):  
Denis J. Evans
Keyword(s):  

2020 ◽  
Vol 12 (2) ◽  
pp. 168781402090900
Author(s):  
Aftab Alam ◽  
Dil Nawaz Khan Marwat ◽  
Saleem Asghar

Viscous flow over a porous and stretching (shrinking) surface of an arbitrary shape is investigated in this article. New dimensions of the modeled problem are explored through the existing mathematical analogies in such a way that it generalizes the classical simulations. The latest principles provide a framework for unification, and the consolidated approach modifies the classical formulations. A realistic model is presented with new features in order to explain variety of previous observations on the said problems. As a result, new and upgraded version of the problem is appeared for all such models. A set of new, unusual, and generalized transformations is formed for the velocity components and similarity variables. The modified transformations are equipped with generalized stretching (shrinking), porous velocities, and surface geometry. The boundary layer governing equations are reduced into a set of ordinary differential equations (ODEs) by using the unification procedure and technique. The set of ODEs has two unknown functions f and g. The modeled equations have five different parameters, which help us to reduce the problem into all previous formulations. The problem is solved analytically and numerically. The current simulation and its solutions are also compared with existing models for specific value of the parameters, and excellent agreement is found between the solutions.


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