The Size of Aerofoil Models for Quantitative Hydraulic Analogy Research

1956 ◽  
Vol 60 (543) ◽  
pp. 208-209
Author(s):  
R. A. A. Bryant

In a recent article Lundberg has made reference to use of the “ Hydraulic Analogy ” for quantitative investigation of gas dynamics phenomena. This is quite feasible provided that the basic analogy and its limitations are properly understood. In fact, considerable progress has already been made and it has been proved possible to utilise the analogy for both supersonic and transonic research.A study of the mathematical analogy indicates that the strongest physical analogy between a two-dimensional (inviscid) gas flow and a three-dimensional (viscous) water flow exists for the transonic case when the water depth is approximately one quarter inch and the model is towed. Only thin profiles with small incidence can be sensibly investigated. Under such conditions the analogous water flow may be considered as a distorted dissimilar model of a corresponding prototype gas flow.

2021 ◽  
Vol 2094 (4) ◽  
pp. 042002
Author(s):  
S A Bitkin ◽  
M A Korepanov ◽  
M R Koroleva ◽  
A I Karpov ◽  
S S Makarov

Abstract Numerical modeling of the spatial gas flow in an adjustable nozzle with an asymmetric critical section caused by the overlap of a part of the flow area by a gas flow regulator has been carried out. The mathematical model is based on three-dimensional models of gas dynamics, the method of large particles is used for calculation. When describing the unsteady flow of an inviscid gas, the system of Euler equations is used, written for a computational rectangular plane, taking into account the function of nozzle geometry. The results of calculations of flow parameters along a nozzle path with a uniform outlet section and with an obliquely cut outlet nozzle are presented. Calculations were carried out for completely open critical sections and for half overlapped. For oblique cut nozzles, the overlap of the critical section from the side of the short part and from the side of the long part of the oblique nozzle is considered.


Author(s):  
Y Zhao ◽  
D E Winterbone

In this study, a three-dimensional Navier—Stokes solver was developed based on the finite volume fluid-in-cell (FVFLIC) method. The objective was to develop a comprehensive engine simulation tool that could predict unsteady flow features in the engine manifold and gas dynamic interaction between the intake system and the engine. Therefore the geometry effect of the manifold on gas dynamics could be fully investigated and later utilized in manifold design. Being shown here are some of the latest results of the research work aiming to validate the simulation program and apply it to the analysis of gas dynamics in manifolds for future design purposes.


Author(s):  
S. P. Bautin ◽  
◽  
S. L. Deryabin ◽  

The problems of modeling three-dimensional flows adjacent to vacuum were regarded earlier (see, for example, [1–5]). In works [1–3] onedimensional and multi-dimensional flows of polytropic and normal gas adjacent to vacuum were investigated. In works [4, 5] symmetric swirl upward flows of polytropic gas around of the vertical located contact characteristic separating the gas and vacuum were considered. It is shown that even in case the gas abuts vacuum, it swirls counterclockwise. It is also found that the vortex itself moves westward, shifting slightly northward. The present paper considers the evolution of the asymmetric gas flow at the initial time continuously adjacent to vacuum. An equation system of gas dynamics under the action of gravity and Coriolis force is adopted as a mathematical model. For the equation system of gas dynamics the initial boundary value problem is set on the multiplicity characteristic of four. The solution to the problem is created in the form of a power series and the existence and uniqueness theorem of the solution around the free surface «gas-vacuum» is proved.


1951 ◽  
Vol 2 (4) ◽  
pp. 227-253 ◽  
Author(s):  
Joseph Black ◽  
O. P. Mediratta

SummmaryThis paper describes the construction of a water channel in the University of Bristol for the investigation of the analogy between the two-dimensional flow of a gas and that of shallow water with a free surface. Both continuous and discontinuous flow were examined, with a view to determining the limitations of the analogy.Continuous “ shooting “ water flow was found to be reasonably analogous with supersonic isentropic gas flow, a static depth of about half an inch appearing to be satisfactory with this particular channel. No independent check was made of the agreement, or otherwise, between “streaming” water flow and subsonic gas flow, since the method of checking used was the measurement of the angle of the waves formed on the water surface, and such waves exist only in “ shooting” flow.


1983 ◽  
Author(s):  
A. BALAKRISHNAN ◽  
C. LOMBARD ◽  
W.C. DAVY

2021 ◽  
Vol 9 ◽  
Author(s):  
Chenyi Su ◽  
Xingqi Xu ◽  
Jinghua Huang ◽  
Bailiang Pan

Abstract Considering the thermodynamical fluid mechanics in the gain medium and laser kinetic processes, a three-dimensional theoretical model of an exciplex-pumped Cs vapor laser with longitudinal and transverse gas flow is established. The slope efficiency of laser calculated by the model shows good agreement with the experimental data. The comprehensive three-dimensional distribution of temperature and particle density of Cs is depicted. The influence of pump intensity, wall temperature, and fluid velocity on the laser output performance is also simulated and analyzed in detail, suggesting that a higher wall temperature can guarantee a higher output laser power while causing a more significant heat accumulation in the cell. Compared with longitudinal gas flow, the transverse flow can improve the output laser power by effectively removing the generated heat accumulation and alleviating the temperature gradient in the cell.


Sign in / Sign up

Export Citation Format

Share Document