scholarly journals Evaluation Techniques and Properties of an Exact Solution to a Subsonic Free Surface Jet Flow

2002 ◽  
Author(s):  
ALLEN C ROBINSON
Keyword(s):  
Exact Solution ◽  
Free Surface ◽  
Jet Flow ◽  
Surface Jet ◽  
Evaluation Techniques

Free-surface jet flow of a shear-thinning power-law fluid near the channel exit

2014 ◽  
Vol 748 ◽  
pp. 580-617 ◽  
Author(s):  
Roger E. Khayat
Keyword(s):  
Free Surface ◽  
Power Law ◽  
Shear Thinning ◽  
Viscous Sublayer ◽  
Jet Flow ◽  
Power Law Fluid ◽  
Downstream Distance ◽  
Moderate Reynolds Number ◽  
Sublayer Thickness ◽  
Surface Jet

AbstractThe jet flow of a shear-thinning power-law fluid is examined theoretically as it emerges from a channel at moderate Reynolds number. Poiseuille flow conditions are assumed to prevail far upstream from the exit. The problem is solved using the method of matched asymptotic expansions. A similarity solution is obtained in the inner layer near the free surface, with the outer layer extending to the jet centreline. An inner thin viscous sublayer is introduced to smooth out the singularity in viscosity at the free surface, allowing the inner algebraically decaying solutions to be matched smoothly with the solution near the free surface. A Newtonian jet is found to contract more than a shear-thinning jet. While both the inner-layer thickness and the free-surface height are $O(\mathit{Re}^{-1/3})$, and grow with downstream distance, the sublayer thickness is smaller, $O(\mathit{Re}^{-(1+n)/3})$, growing with distance for $n < 0.5$, and decaying for $n > 0.5$. The relaxation downstream distance for the jet is found to grow logarithmically with $\mathit{Re}$.

scholarly journals Zero gravity of free-surface jet flow

2007 ◽  
Vol 2 ◽  
pp. 3273-3277
Author(s):  
B. Bouderah ◽  
A. Gasmi ◽  
H. Serguine
Keyword(s):  
Free Surface ◽  
Jet Flow ◽  
Zero Gravity ◽  
Surface Jet

Analysis on MHD Stability of Free Surface Jet flow in a Gradient Magnetic Fields

2004 ◽  
Vol 6 (3) ◽  
pp. 2301-2306
Author(s):  
Xu Zengyu ◽  
Kang Weishan ◽  
Pan Chuanjie
Keyword(s):  
Free Surface ◽  
Magnetic Fields ◽  
Jet Flow ◽  
Mhd Stability ◽  
Surface Jet

scholarly journals Transient Excitation of an Elastic Half Space by a Point Load Traveling on the Surface

1969 ◽  
Vol 36 (3) ◽  
pp. 505-515 ◽  
Author(s):  
D. C. Gakenheimer ◽  
J. Miklowitz
Keyword(s):  
Exact Solution ◽  
Free Surface ◽  
Steady State ◽  
Wave Front ◽  
Half Space ◽  
Displacement Field ◽  
Elastic Half Space ◽  
Point Load ◽  
Limit Case ◽  
Transient Waves

The propagation of transient waves in a homogeneous, isotropic, linearly elastic half space excited by a traveling normal point load is investigated. The load is suddenly applied and then it moves rectilinearly at a constant speed along the free surface. The displacements are derived for the interior of the half space and for all load speeds. Wave-front expansions are obtained from the exact solution, in addition to results pertaining to the steady-state displacement field. The limit case of zero load speed is considered, yielding new results for Lamb’s point load problem.

A simple example from flat-ship theory

1988 ◽  
Vol 189 ◽  
pp. 301-310 ◽  
Author(s):  
Susan Cole
Keyword(s):  
Exact Solution ◽  
Free Surface ◽  
Energy Balance ◽  
Aspect Ratio ◽  
Pressure Distribution ◽  
Wave Drag ◽  
Vortical Flow ◽  
Far Field ◽  
Low Aspect Ratio ◽  
Free Surface Waves

This paper describes the induced pressure distribution, free-surface waves, vortical flow and wave drag of an exact solution of low-aspect-ratio flat-ship theory. An energy balance is derived which relates the spray drag, the energy carried away by the far-field waves and the vortical flow to the total wave drag.

Hydrodynamics of quenching with impinging free-surface jet

2012 ◽  
Vol 55 (13-14) ◽  
pp. 3677-3685 ◽  
Author(s):  
Nitin Karwa ◽  
Lukas Schmidt ◽  
Peter Stephan
Keyword(s):  
Free Surface ◽  
Surface Jet
Sign in / Sign up

Export Citation Format

Share Document