Shock waves and non-stationary flow in a duct of varying cross-section

1971 ◽  
Vol 46 (1) ◽  
pp. 111-128 ◽  
Author(s):  
Naruyoshi Asano
Keyword(s):  
Shock Waves ◽  
Cross Section ◽  
Small Amplitude ◽  
Stationary Flow ◽  
Shock Propagation ◽  
Sound Waves ◽  
One Dimensional ◽  
Dimensional Approximation ◽  
Propagation Law ◽  
Good Agreement

Sound waves of finite but small amplitude propagating into a quasi-steady, supersonic flow in a non-uniform duct are analyzed by means of a perturbation method. General properties of the flow and of the wave propagation are studied using a one-dimensional approximation. A shock propagation law in the unsteady flow is obtained. As an example, the formation and development of shock waves are discussed for a duct with a conical convergence. Comparisons of the theory with an experiment are also made; fairly good agreement is found.

Simulation of Sphere’s Motion Induced by Shock Waves

2012 ◽  
Vol 134 (10) ◽  
Author(s):  
Dan Igra ◽  
Ozer Igra ◽  
Lazhar Houas ◽  
Georges Jourdan
Keyword(s):  
Shock Waves ◽  
Drag Coefficient ◽  
Drag Force ◽  
Stationary Flow ◽  
Experimental Results ◽  
Experimental Findings ◽  
Sphere Drag ◽  
Simulation Scheme ◽  
Good Agreement

Simulations of experimental results appearing in Jourdan et al. (2007, “Drag Coefficient of a Sphere in a Non-Stationary Flow: New Results,”Proc. R. Soc. London, Ser. A, 463, pp. 3323–3345) regarding acceleration of a sphere by the postshock flow were conducted in order to find the contribution of the various parameters affecting the sphere drag force. Based on the good agreement found between present simulations and experimental findings, it is concluded that the proposed simulation scheme could safely be used for evaluating the sphere’s motion in the postshock flow.

Rotational temperature profiles of shock waves in diatomic gases

1971 ◽  
Vol 49 (2) ◽  
pp. 337-351 ◽  
Author(s):  
A. K. Macpherson
Keyword(s):  
Shock Waves ◽  
Rotational Temperature ◽  
Rotational Velocity ◽  
Three Dimensional ◽  
Intermolecular Potential ◽  
Collision Dynamics ◽  
Density Profiles ◽  
Frequency Distributions ◽  
Dimensional Approximation ◽  
Good Agreement

The variation of the translational temperature, rotational temperature, and density through shock waves in oxygen and nitrogen was studied using classical laws of mechanics and a Monte Carlo scheme. The collision dynamics were calculated using an intermolecular potential by Parker with both a two-dimensional approximation and the full three-dimensional calculations. The rotational velocity frequency distributions were also calculated. The average number of collisions a molecule will experience a t various stages passing through a shock wave were found and plotted with the temperature and density profiles. The nitrogen results were compared with experimental results and good agreement was found. This also provided a method for giving a first approximation to the three-dimensional intermolecular potential.

Small-Amplitude Wave Behavior in One-Dimensional Granular Solids

1977 ◽  
Vol 44 (4) ◽  
pp. 559-564 ◽  
Author(s):  
J. W. Nunziato ◽  
E. K. Walsh
Keyword(s):  
Wave Propagation ◽  
Shock Waves ◽  
Small Amplitude ◽  
Unbounded Domains ◽  
Uniqueness Of Solutions ◽  
Amplitude Wave ◽  
One Dimensional ◽  
Granular Solids ◽  
Linearized Theory ◽  
Progressive Waves

In this paper we consider the dynamic behavior of granular solids in the context of a one-dimensional, linearized theory. Uniqueness of solutions for unbounded domains is established and two wave propagation problems are solved. In particular, the dispersion relations for small-amplitude sinusoidal progressive waves are obtained and the evolution of small-amplitude shock waves is exhibited.

Probing of Flow Fields with Shock Waves—The Swing Probe

1971 ◽  
Vol 49 (10) ◽  
pp. 1340-1349 ◽  
Author(s):  
J. D. Strachan ◽  
B. Ahlborn
Keyword(s):  
Shock Waves ◽  
Source Term ◽  
Flow Fields ◽  
Inhomogeneous Media ◽  
Shock Propagation ◽  
Local Velocity ◽  
One Dimensional ◽  
Density Distributions ◽  
The One ◽  
Velocity Pressure

The one dimensional equations governing shock propagation into inhomogeneous media have been developed to allow a shock to be used as a probe. Shock waves which collide with unknown gas or plasma flow fields suffer a change in velocity. Pressure, density, particle velocity, and local energy input at the edge of an unknown flow can be determined from the measurement of unknown flow. The steady variation of the velocity of strong probing shocks reveals details of the local velocity and density distributions inside the unknown flow field. One further result is the extension of the general theory of shock propagation into inhomogeneous media to cover the case when an energy source term appears at the front.

Precursor shock waves at a slow—fast gas interface

1976 ◽  
Vol 76 (1) ◽  
pp. 157-176 ◽  
Author(s):  
A. M. Abd–El–Fattah ◽  
L. F. Henderson ◽  
A. Lozzi
Keyword(s):  
Experimental Data ◽  
Carbon Dioxide ◽  
Shock Wave ◽  
Shock Waves ◽  
Plane Shock ◽  
One Dimensional ◽  
Irregular Wave ◽  
Irregular Systems ◽  
Theory And Experiment ◽  
Good Agreement

This paper presents experimental data obtained for the refraction of a plane shock wave at a carbon dioxide–helium interface. The gases were separated initially by a delicate polymer membrane. Both regular and irregular wave systems were studied, and a feature of the latter system was the appearance of bound and free precursor shocks. Agreement between theory and experiment is good for regular systems, but for irregular ones it is sometimes necessary to take into account the effect of the membrane inertia to obtain good agreement. The basis for the analysis of irregular systems is one-dimensional piston theory and Snell's law.

One-dimensional spherical shock waves in an interstellar dusty gas clouds

2021 ◽  
Vol 76 (5) ◽  
pp. 417-425
Author(s):  
Astha Chauhan ◽  
Kajal Sharma
Keyword(s):  
Shock Wave ◽  
Shock Waves ◽  
Differential Equations ◽  
Shock Propagation ◽  
Dusty Gas ◽  
Shock Strength ◽  
Efficient System ◽  
One Dimensional ◽  
Arbitrary Strength ◽  
Spherical Shock

Abstract A system of partial differential equations describing the one-dimensional motion of an inviscid self-gravitating and spherical symmetric dusty gas cloud, is considered. Using the method of the kinematics of one-dimensional motion of shock waves, the evolution equation for the spherical shock wave of arbitrary strength in interstellar dusty gas clouds is derived. By applying first order truncation approximation procedure, an efficient system of ordinary differential equations describing shock propagation, which can be regarded as a good approximation of infinite hierarchy of the system. The truncated equations, which describe the shock strength and the induced discontinuity, are used to analyze the behavior of the shock wave of arbitrary strength in a medium of dusty gas. The results are obtained for the exponents from the successive approximation and compared with the results obtained by Guderley’s exact similarity solution and characteristic rule (CCW approximation). The effects of the parameters of the dusty gas and cooling-heating function on the shock strength are depicted graphically.

Hydraulic Flow in Coupled Parallel Channels of Varying Cross-Sectional Area

1963 ◽  
Vol 85 (3) ◽  
pp. 417-423
Author(s):  
J. F. Thorpe
Keyword(s):  
Rectangular Cross Section ◽  
Leading Edge ◽  
Hydraulic Parameters ◽  
Cross Sectional ◽  
One Dimensional ◽  
Hydraulic Flow ◽  
Dimensional Approximation ◽  
Parallel Channels ◽  
The One ◽  
Good Agreement

The problem considered is that of flow in the two parallel channels formed by the introduction of a long thin plate into a duct of uniform rectangular cross section. The plate is slightly inclined and does not, in general, span the channel so that transverse flow may occur. The flow is described by applying the one-dimensional approximation. Boundary conditions were established by regarding the stagnation streamline as defining two separate channels upstream of the plate leading edge. The solution was then obtained numerically with an IBM 650 computer. Computed hydraulic parameters were in good agreement with those obtained experimentally.

The diameters and velocities of the droplets ejected after splashing

2015 ◽  
Vol 772 ◽  
pp. 630-648 ◽  
Author(s):  
Guillaume Riboux ◽  
José Manuel Gordillo
Keyword(s):  
Critical Speed ◽  
Liquid Sheet ◽  
Liquid Volume ◽  
One Dimensional ◽  
Dimensional Approximation ◽  
Drop Impacts ◽  
Good Agreement

When a drop impacts a smooth, dry surface at a velocity above the so-called critical speed for drop splashing, the initial liquid volume loses its integrity, fragmenting into tiny droplets that are violently ejected radially outwards. Here, we make use of the model of Riboux & Gordillo (Phys. Rev. Lett., vol. 113, 2014, 024507), together with a one-dimensional approximation describing the flow in the ejected liquid sheet and of balances of mass and momentum at the border of the sheet, to calculate mean sizes and velocities of the ejected drops. The predictions of the model are in good agreement with experiments.

Shock Wave Kinematics in a Relaxing Gas with Dust Particles

2019 ◽  
Vol 74 (9) ◽  
pp. 787-798 ◽  
Author(s):  
Sonu Mehla ◽  
J. Jena
Keyword(s):  
Shock Wave ◽  
Shock Waves ◽  
Cross Section ◽  
Dust Particles ◽  
One Dimensional ◽  
Wave Kinematics ◽  
Relaxation Parameters ◽  
Arbitrary Strength ◽  
Spatially Varying ◽  
Relaxing Gas

AbstractIn this article, we considered the evolutionary behaviour of one-dimensional shock waves propagating through a relaxing gas with dust particles in a duct with spatially varying cross section. We adopted the procedure based on the kinematics of a one-dimensional motion to derive an infinite hierarchy of transport equations, which describe the evolutionary behaviour of shock of arbitrary strength propagating through the medium. The first three truncation approximations are considered, and the results are compared with existing results in the absence of relaxation and dust particles. The effects of dust particles and relaxation are studied using numerical computations. The results are depicted for different values of dust and relaxation parameters.

Sign in / Sign up

Export Citation Format

Share Document