Hugoniot's Method Applied to Stratified Flow through a Constriction

1972 ◽  
Vol 14 (1) ◽  
pp. 72-73 ◽  
Author(s):  
A. M. Binnie

The discharge of a homogeneous inviscid fluid through a convergent-divergent constriction can be calculated by Hugoniot's method. The method is here extended to stratified liquids moving under gravity in an open horizontal channel.

2016 ◽  
Vol 73 (10) ◽  
pp. 4065-4076 ◽  
Author(s):  
Richard Rotunno ◽  
Manuela Lehner

Abstract Observations and models of nocturnal katabatic winds indicate strong low-level stability with much weaker stability aloft. When such winds encounter an embedded depression in an otherwise smooth sloping plane, the flow responds in a manner that is largely describable by the inviscid fluid dynamics of stratified flow. Building on earlier work, the present study presents a series of numerical simulations based on the simplest nontrivial idealization relevant to the observations: the height-independent flow of a two-layer stratified fluid past a two-dimensional valley. Stratified flow past a valley has received much less attention than the related problem of stratified flow past a hill. Hence, the present paper gives a detailed review of existing theory and fills a few gaps along the way. The theory is used as an interpretive guide to an extensive set of numerical simulations. The solutions exhibit a variety of behaviors that depend on the nondimensional input parameters. These behaviors range from complete flow through the valley to valley-flow stagnation to situations involving internal wave breaking, lee waves, and quasi-stationary waves in the valley. A diagram is presented that organizes the solutions into flow regimes as a function of the nondimensional input parameters.


1972 ◽  
Vol 98 (8) ◽  
pp. 1450-1453
Author(s):  
Joseph P. Bohan ◽  
John L. Grace
Keyword(s):  

2020 ◽  
Vol 6 (4) ◽  
Author(s):  
N. Satish ◽  
K. Venkatasubbaiah

Abstract Pulsation and acceleration of liquid metal turbulent flow through a horizontal channel has been numerically studied using a large eddy simulation (LES) technique. The effect of inlet pulsation and acceleration on flow and heat transfer characteristics of low Prandtl number liquid metal flow have been investigated and reported here. Results have been presented for different Reynolds numbers, different amplitudes, and frequency with constant bottom wall thickness. The flow field is modeled as unsteady-state two-dimensional incompressible turbulent-forced convection flow. Turbulence is modeled using a LES technique. Two-dimensional unsteady-state heat conduction equation is solved to know the temperature distribution in the solid region. Finite difference method solver is developed for solving the governing equations using sixth-order accuracy of compact schemes. The average Nusselt number shows cyclic variation with respect to time in pulsation flows. The enhancement of heat transfer with pulsation at amplitude 0.4 and frequency 100 Hz is 6.51%. The rate of heat transfer increases in pulsation flow compared to quasi-steady flow. The inlet acceleration shows a significant effect on flow characteristics. The present results are compared with direct numerical simulation (DNS) results available in the literature and matching well with DNS data.


2004 ◽  
Vol 509 ◽  
pp. 83-92 ◽  
Author(s):  
ANDERS ENGQVIST ◽  
ANDREW McC. HOGG

2014 ◽  
Vol 14 (06) ◽  
pp. 1450022 ◽  
Author(s):  
Helnaz Soltani ◽  
Gregory S. Payette ◽  
J. N. Reddy

The physical interaction of fluids and solids is of practical significance in engineering (e.g. flutter of aerodynamic structures, vortex induced vibrations of sub-sea pipelines and risers, inflatable dams, parachute dynamics and blood flow through arteries). In this paper, a finite element formulation is developed for determining the vibration characteristics of beams in contact with inviscid incompressible fluid. The classical, first-order and third-order shear deformation beam theories are used to model the structural response. Numerical results for vibration frequencies are presented showing the parametric effect of thickness and immersion depth on the frequency response. The results indicate that the presence of fluid interaction has significant effect on the dynamic response. The formulation presented herein is also applicable to a vast number of vibration problems related to beams under a variety of excitations.


2005 ◽  
Vol 28 (8) ◽  
pp. 899-907 ◽  
Author(s):  
T. Sunder Raj ◽  
D. P. Chakrabarti ◽  
G. Das
Keyword(s):  

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