Shock Waves (2006) 16:1–15
DOI 10.1007/s00193-006-0019-0
ORIGINAL ARTICLE
Shock wave attenuation by grids and orifice plates
A. Britan · O. Igra · G. Ben-Dor · H. Shapiro
Received: 1 October 2003 / Accepted: 1 April 2004 / Published online: 22 August 2006
© Springer-Verlag 2006
Abstract The interaction of weak shock waves with
porous barriers of different geometries and porosities
is examined. Installing a barrier inside the shock tube
test section will cause the development of the follow-
ing wave pattern upon a head-on collision between the
incident shock wave and the barrier: a reflected shock
from the barrier and a transmitted shock propagating
towards the shock tube end wall. Once the transmit-
ted shock wave reaches the end wall it is reflected back
towards the barrier. This is the beginning of multiple
reflections between the barrier and the end wall. This
full cycle of shock reflections/interactions resulting from
the incident shock wave collision with the barrier can be
studied in a single shock tube test. A one-dimensional
(1D), inviscid flow model was proposed for simulating
the flow resulting from the initial collision of the inci-
dent shock wave with the barrier. Fairly good agreement
is found between experimental findings and simulations
based on a 1D flow model. Based on obtained numerical
and experimental findings an optimal design procedure
for shock wave attenuator is suggested. The suggested
Communicated by O. Igra.
A. Britan · O. Igra · G. Ben-Dor (B ) · H. Shapiro
Department of Mechanical Engineering,
Pearlstone Center for Aeronautical Engineering Studies,
Protective Technologies R & D Center,
Faculty of Engineering Sciences,
Ben Gurion University of the Negev,
Beer Sheva 84105, Israel
e-mail: bendorg@bgu.ac.il
A. Britan
e-mail: britan@bgu.ac.il
O. Igra
e-mail: ozer@bgu.ac.il
attenuator may ensure the safety of the shelter’s venti-
lation systems.
Keywords Shock wave attenuation ·
Shock interaction with porous obstacles
PACS 47.40 · 43.20.El
1 Introduction
Shock waves interaction with grid-like obstacles or
orifice plates appears in many engineering applications.
Such an interaction considerably modifies the flow field
by introducing new shock waves, vorticities and regions
of entropy and intense turbulence. As of today there
is no systematic study of these phenomena although
experimental works on this subject started appearing in
the 1950s. Some examples of early works are: Dosanjh
[1] investigated the wave pattern resulted from head-
on collision of an incident shock wave with a grid-like
obstacle. Specifically, using shadowgraph photography
he checked the wave patterns developed far upstream
and far downstream of the obstacle. He was the first to
observe and explain the choking phenomenon witnessed
in the supersonic flows immediately downstream of the
grid-like obstacle. Franks [2] used a rotating drum cam-
era schlieren system and a Mach Zehnder interferome-
ter for recording the wave pattern and the instantaneous
density distributions in the various regions resulting
from the shock wave–grid interaction. Franks also ob-
served the presence of a choking shock wave at the
grid exit and offered analytical solution to this flow.
His solution is based on the assumption that the flow
undergoes an isentropic expansion filling the whole area