scholarly journals Unidirectional Marangoni–Poiseuille flows of a viscous incompressible fluid with the Navier boundary condition

2019 ◽  
Author(s):  
N. V. Burmasheva ◽  
E. Yu. Prosviryakov
Keyword(s):  
Boundary Condition ◽  
Incompressible Fluid ◽  
Viscous Incompressible Fluid ◽  
Navier Boundary Condition ◽  
Poiseuille Flows

Flow of a viscous incompressible fluid after a sudden point impulse near a wall

2009 ◽  
Vol 629 ◽  
pp. 425-443 ◽  
Author(s):  
B. U. FELDERHOF
Keyword(s):  
Boundary Condition ◽  
Incompressible Fluid ◽  
Stokes Equations ◽  
Viscous Incompressible Fluid ◽  
Slip Boundary Condition ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Slip Boundary ◽  
Short Time ◽  
Short Times

The flow of a viscous incompressible fluid generated by a sudden impulse near a wall with no-slip boundary condition is studied on the basis of the linearized Navier–Stokes equations. It turns out that the flow differs significantly from that for the perfect slip boundary condition, except far from the wall and at short times. At short time the flow is irrotational and can be described by a potential which varies with the square root of time. Correspondingly the pressure disturbance is quite large at short times. It shows an oscillation at later times if the impulse is directed parallel to the wall and decays monotonically for impulse perpendicular to the wall.

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