Solution of nonlinear problems in magnetofluiddynamics and non-Newtonian fluid mechanics through parametric differentiation.

AIAA Journal ◽  
1973 ◽  
Vol 11 (10) ◽  
pp. 1429-1432 ◽  
Author(s):  
G. NATH
Keyword(s):  
Fluid Mechanics ◽  
Newtonian Fluid ◽  
Nonlinear Problems

Correction to: Non-Newtonian Fluid Mechanics and Complex Flows

2018 ◽  
pp. E1-E1
Author(s):  
Angiolo Farina ◽  
Lorenzo Fusi ◽  
Andro Mikelić ◽  
Giuseppe Saccomandi ◽  
Adélia Sequeira ◽  
...  
Keyword(s):  
Fluid Mechanics ◽  
Newtonian Fluid ◽  
Complex Flows

A steady vortex ring in Poiseuille flow and rearrangements of a function

2006 ◽  
Vol 462 (2068) ◽  
pp. 1235-1253 ◽  
Author(s):  
Dirar Rebah
Keyword(s):  
Kinetic Energy ◽  
Variational Method ◽  
Fluid Mechanics ◽  
Vortex Ring ◽  
Ideal Fluid ◽  
Poiseuille Flow ◽  
Nonlinear Problems ◽  
Insight Into

This study proves the existence of a steady vortex ring of an ideal fluid in Poiseuille flow. The method that was used is a variational method proposed by Benjamin (Benjamin 1976 The alliance of practical and analytical insight into the nonlinear problems of fluid mechanics , vol. 503, pp. 8–29), in which a steady vortex ring can be obtained as a maximizer of a functional that is related to kinetic energy and the impulse over the set of rearrangements of a prescribed function.

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