scholarly journals On one-dimensional compressible Navier–Stokes equations for a reacting mixture in unbounded domains

2017 ◽  
Vol 68 (5) ◽  
Author(s):  
Siran Li
Keyword(s):  
Stokes Equations ◽  
Unbounded Domains ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
One Dimensional

scholarly journals Navier–Stokes equations with delays on unbounded domains

2006 ◽  
Vol 64 (5) ◽  
pp. 1100-1118 ◽  
Author(s):  
María José Garrido-Atienza ◽  
Pedro Marín-Rubio
Keyword(s):  
Stokes Equations ◽  
Unbounded Domains ◽  
Navier Stokes ◽  
Navier Stokes Equations

Pulsatile Waterhammer Subject to Laminar Friction

1972 ◽  
Vol 94 (2) ◽  
pp. 467-472 ◽  
Author(s):  
D. A. P. Jayasinghe ◽  
H. J. Leutheusser
Keyword(s):  
Stokes Equations ◽  
Fluid Motion ◽  
Present Theory ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
One Dimensional ◽  
Arbitrary Velocity ◽  
Velocity Input ◽  
Special Case ◽  
Signalling Problem

This paper deals with elastic waves which may be generated in a fluid by the sudden movement of a flow boundary. In particular, an analysis of the classical piston, or signalling problem is presented for the special case of arbitrary velocity input into a stationary fluid contained in a circular, semi-infinite waveguide. The decay of the pulse, as well as the resulting flow development in the inlet region of the pipe are analyzed by means of an asymptotic expansion of the suitably nondimensionalized Navier-Stokes equations for a compressible, nonheat-conducting Newtonian fluid. The results differ significantly from those of the more conventional one-dimensional approach based on the so-called telegrapher’s equation of mathematical physics. The present theory realistically predicts the growth of a boundary layer both in time and position and, hence, it appears to represent the transient fluid motion in a manner which is physically more appealing.

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