<i>Compressible-Fluid Dynamics</i>

Thompson, P. A.; Sonin, Ain A.

doi:10.1063/1.3127987

Cited by 84 publications

(141 citation statements)

References 0 publications

Supporting

Mentioning

139

Contrasting

Order By: Relevance

“…The hydraulic jump is analogous to a shock wave (Duncan et al 1967;Afzal and Bushra 1999). In both situations, the upstream and downstream flows approach certain limiting conditions: in shock waves, these are the well known Rankine-Hugoniot relations (Thompson 1972), whereas for the hydraulic jump, these are the Belanger relations for a rectangular channel. The shock wave structure in laminar flow, reported by Thompson (1972), show that the molecular viscous normal stress plays the dominant role.…”

Section: Jump Profile Equationmentioning

confidence: 99%

“…In the roughness sublayer, a traditional no slip condition has be satisfied, implying small changes in velocity (compared to velocity of outer stream) and consequently the Froude number based on sublayer velocity and sublayer depth in the roughness sublayer would be much less than unity. The analogy of a hydraulic jump with a shock wave (Duncan et al 1967) and analysis of the shock wave structure becomes relevant, which for laminar flow may be found in the work of Thompson (1972). Thus, in the outer layer, the turbulence, inertia of fluid, and imposed drag owing to bed roughness play a major role and the molecular viscosity has a negligible effect.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of Turbulent Hydraulic Jump over a Transitional Rough Bed of a Rectangular Channel: Universal Relations

2011

View full text Add to dashboard Cite

Section: Jump Profile Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of Turbulent Hydraulic Jump over a Transitional Rough Bed of a Rectangular Channel: Universal Relations

2011

View full text Add to dashboard Cite

“…where f(V, T) is the Helmholtz free energy function [23]. This function satisfies (3.3) fy = -p, fr = -S, e = f+TS.…”

Section: The Isolating Neighbourhoodmentioning

confidence: 99%

The structure of MFD shock waves for rectilinear motion in some models of plasma

Hesaaraki¹

1995

Trans. Amer. Math. Soc.

View full text Add to dashboard Cite

Abstract.The mathematical question of the existence of structure for "fast", "slow" and "intermediate" MFD shock waves in the case of rectilinear motion in some model of plasma is stated in terms of a six-dimensional system of ordinary differential equations, which depends on five viscosity parameters. In this article we shall show that this system is gradient-like. Then by using the Conley theory we prove that the fast and the slow shocks always possess structure. Moreover, the intermediate shocks do not admit structure. Some limiting cases for singular viscosities are investigated. In particular, we show how the general results in the classical one fluid MHD theory are obtained when "the plasma viscosities" ß and x tend to zero.

show abstract

“…The standard (Thompson 1972) thermodynamic analysis of the CJ point is applicable to this situation. At the point B, the mass flow rate is a maximum and the flow is sonic, i.e.…”

Section: Control-volume Analysismentioning

confidence: 99%

Evaporation waves in superheated dodecane

Simões-Moreira¹,

Shepherd

1999

J. Fluid Mech.

View full text Add to dashboard Cite

We have observed propagating adiabatic evaporation waves in superheated liquid dodecane, C 12 H 26 . Experiments were performed with a rapid decompression apparatus at initial temperatures of 180-300 • C. Saturated dodecane in a tube was suddenly depressurized by rupturing a diaphragm. Motion pictures and still photographic images, and pressure and temperature data were obtained during the evaporation event that followed depressurization. Usually, a front or wave of evaporation started at the liquid free surface and propagated into the undisturbed regions of the metastable liquid. The evaporation wave front moved with a steady mean velocity but the front itself was unstable and fluctuating in character. At low superheats, no waves were observed until a threshold superheat was exceeded. At moderate superheats, subsonic downstream states were observed. At higher superheats, the downstream flow was choked, corresponding to a Chapman-Jouguet condition. At the most extreme superheat tested, a vapour content of over 90% was estimated from the measured data, indicating a nearly complete evaporation wave. Our results are interpreted by modelling the evaporation wave as a discontinuity, or jump, between a superheated liquid state and a two-phase liquid-vapour downstream state. Reasonable agreement is found between the model and observations; however, there is a fundamental indeterminacy that prevents the prediction of the observed wave speeds.

show abstract

Compressible-Fluid Dynamics

Cited by 84 publications

References 0 publications

Analysis of Turbulent Hydraulic Jump over a Transitional Rough Bed of a Rectangular Channel: Universal Relations

Analysis of Turbulent Hydraulic Jump over a Transitional Rough Bed of a Rectangular Channel: Universal Relations

The structure of MFD shock waves for rectilinear motion in some models of plasma

Evaporation waves in superheated dodecane

Contact Info

Product

Resources

About