scholarly journals Zero dissipation limit of the 1D linearized Navier–Stokes equations for a compressible fluid

2011 ◽  
Vol 374 (2) ◽  
pp. 693-721 ◽  
Author(s):  
Jing Wang
Keyword(s):  
Compressible Fluid ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations

scholarly journals Flow of a viscous compressible fluid produced in a circular tube by an impulsive point source

2011 ◽  
Vol 668 ◽  
pp. 100-112 ◽  
Author(s):  
B. U. FELDERHOF ◽  
G. OOMS
Keyword(s):  
Compressible Fluid ◽  
Numerical Scheme ◽  
Stokes Equations ◽  
Circular Tube ◽  
Slip Boundary Condition ◽  
Navier Stokes ◽  
Viscous Compressible Fluid ◽  
Navier Stokes Equations ◽  
Slip Boundary ◽  
Sudden Impulse

The flow of a viscous compressible fluid in a circular tube generated by a sudden impulse at a point on the axis is studied on the basis of the linearized Navier–Stokes equations. A no-slip boundary condition is assumed to hold on the wall of the tube. An efficient numerical scheme has been developed for the calculation of flow velocity and pressure disturbance as a function of position and time.

Transient flow of a viscous compressible fluid in a circular tube after a sudden point impulse

2010 ◽  
Vol 644 ◽  
pp. 97-106 ◽  
Author(s):  
B. U. FELDERHOF
Keyword(s):  
Compressible Fluid ◽  
Transient Flow ◽  
Stokes Equations ◽  
Circular Tube ◽  
Slip Boundary Condition ◽  
Navier Stokes ◽  
Viscous Compressible Fluid ◽  
Navier Stokes Equations ◽  
Slip Boundary ◽  
Short Time

The flow of a viscous compressible fluid in a circular tube generated by a sudden impulse at a point on the axis is studied on the basis of the linearized Navier–Stokes equations. A no-slip boundary condition is assumed to hold on the wall of the tube. Owing to the finite velocity of sound the flow behaviour differs qualitatively from that of an incompressible fluid. The flow velocity and the pressure disturbance at any fixed point different from the source point vanish at short time and decay at long times with a t−3/2 power law.

EXISTENCE OF A GLOBAL ATTRACTOR FOR THE SLIGHTLY COMPRESSIBLE 2-D NAVIER–STOKES EQUATIONS IN THE CASE OF A THERMOHYDRAULIC PROBLEM

1996 ◽  
Vol 06 (01) ◽  
pp. 59-75 ◽  
Author(s):  
SERGE NJAMKEPO
Keyword(s):  
Global Attractor ◽  
Compressible Fluid ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Slightly Compressible

A theorem by J. M. Ghidaglia and R. Temam shows the existence and finitness of attractors for 2-D Navier–Stokes equations for a sligthly compressible fluid. In this paper we extend their result to the equations of thermohydraulic for the same fluid.

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