Energy-optimal time-dependent regimes of viscous incompressible fluid flow

2017 ◽  
Vol 52 (2) ◽  
pp. 201-214
Author(s):  
S. G. Chefranov
Keyword(s):  
Fluid Flow ◽  
Incompressible Fluid ◽  
Viscous Incompressible Fluid ◽  
Time Dependent ◽  
Optimal Time ◽  
Incompressible Fluid Flow

Time-dependent solutions of the Navier–Stokes equations for spatially-uniform velocity gradients

1994 ◽  
Vol 124 (1) ◽  
pp. 127-136 ◽  
Author(s):  
A. D. D. Craik
Keyword(s):  
Fluid Flow ◽  
Incompressible Fluid ◽  
Stokes Equations ◽  
Time Dependent ◽  
Navier Stokes ◽  
Incompressible Fluid Flow ◽  
Navier Stokes Equations ◽  
Temporal Behaviour ◽  
Uniform Velocity ◽  
Velocity Gradients

Classes of exact solutions of the Navier–Stokes equations for incompressible fluid flow are explored. These have spatially-uniform velocity gradients at each instant, but often display complex temporal behaviour. Particular illustrative cases are described and related to previously-known solutions.

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