VOL. 11, NO. 17, SEPTEMBER 2016 ISSN 1819-6608
ARPN Journal of Engineering and Applied Sciences
© 2006-2016 Asian Research Publishing Network (ARPN). All rights reserved.
www.arpnjournals.com
10624
CONTROL OF SUDDENLY EXPANDED FLOW AT LOW L/D RATIO
AND HIGH MACH NUMBERS
Zakir Ilahi Chaudhary
1
and Vilas B. Shinde
2
1
MED, DMCE, Airoli, Navi Mumbai, MHSSCE, Mumbai, India
2
NHITM, Department of Mechanical Engineering, DMCE, Airoli, Navi Mumbai, Maharashtra, India
E-Mail:zakirilahi@gmail.com
ABSTRACT
In this paper results reported are the outcome of investigation carried to regulate the suddenly expanded
flow through a converging-diverging nozzle at high supersonic Mach numbers and at lower length to diameter
ratios. The geometrical and the flow variables assessed in this investigation are the diameter ratio, length to
diameter (L/D) ratio, expansion level, and the Mach number. The step heights of the present case are 1.6, 1.8, 2.2
and 2.5. The tests were conducted for P0/Patm in the range of 3 to 11. The (L/D) ratio of the suddenly expanded duct
of the test was from 10 to 1, however, the outcome are presented for L/D 4, 3, 2, and 1. The Mach numbers tested in
the investigation are 1.9, 2.1, 2.4, and 2.8. The results show that the efficacy of the active control is considerable in
regulating the base pressure. Further, it found that for Mach numbers 1.9 and 2.1 the control is very effective for
NPRs 9 and 11 but, for NPRs 3, 5, and 7 the control efficiency is only marginal. At NPRs 7 and 9 for some cases
peculiar trends are observed and the flow becomes oscillatory. It is seen that majority of the outcomes represent
similar behaviour for duct length up to L = 3D, which means; that the back pressure has not negatively affected the
flow field in the base region as well as in the duct. The lowest duct length needed for the flow to remain latched on
with the duct is L/D = 3 in general for all the cases of the flow variables of the current investigation, however, for
few combinations of the flow and geometrical parameters the flow remains attached even for L/D =2 as well as 1.
With this it can be stated that the micro jets can be used as one of the methods for flow in the base area control
without having any untoward effect in the flow field at the base region.
Keywords: L/D ratio, sudden expansion, base pressure, NPR, Mach no.
1. INTRODUCTION
The control of base pressure on nozzle base is a
very important field of study and finds application in many
areas. Some of the several applications are the rocket
nozzle base pressure field, flow field at the base of the
fuselage of the aircraft, and the blunt base of the
projectiles. The base pressure for a rocket nozzle is
reduced due to expansion fans sitting at the edge of the
base. Thus the hot gases coming out of the nozzle tends to
fill this area. This is undesirable since the high
temperature of the gases is continuously felt at the base
area. This experiment does not simulate the flow
conditions on a rocket nozzle completely because the
model is stationary. Still the results can give a very good
idea on how to control the base pressure.
2. LITERATURE SURVEY
Rathakrishnan [1] studied the influence of ribs on
the flow quality in suddenly expanded duct. He found that
regulators as ribs results in the reduction of the base
pressure up to a large extent, in comparison to that for
without rib case. Annular ribs with L/D ratio 3:1 suit to be
most appropriate combination for the given variables.
Further, it is found that the ribs in the form of passive
control do not cause any unsteadiness in the flow field of
the suddenly expanded duct and any hike in pressure loss
compared to without passive control at duct is < 6%. Khan
and Rathakrishnan [2-6] conducted experiments to control
the base pressure for Mach numbers 2.0 to 3.0. The studies
were conducted at an over-expansion level of (Pe/Pa)
=0.277. From their research they concluded that the base
pressure attains the lowest value for the lowest area ratio
namely 2.56 and the L = 6D for all the inertia levels of
Mach numbers (2.0, 2.5 and 3.0). The active control seems
to be to deliver encouraging outcome at M = 3.0 and A2 =
2.56A1. It was observed that the flow regulators enhance
the pressure in the base region for these combinations of
variables, amounting in an 83% reduction in base pressure.
Ashfaq et al. [9] presented the outcome of the
investigation to control the base pressure from a conical
nozzle to discover the influence of NPR with sudden
expansion at M = 1.0. From the investigation it was
concluded that favourable pressure gradient need not give
positive results every time. Zakir Ilahi Chaudhary et al.
[11-13] from their test observed that the repercussion of
Micro jets is very small in some cases in manipulating the
pressure in the base area even under the influence of
encouraging pressure variation at lower NPRs such as 3
and 5. Further they discussed that the micro jets affect the
base pressure in positive as well as negative manner. The
favourable and adverse nature of influence was found to
be administered by the NPR and therefore the level of
expansion. For lesser Mach numbers the base pressure
tends to increase with the increase in NPR. The useful
increase in base pressure is in the range of 10 to 40 per
cent, which is very considerable. These outcomes will be
handy for bodies moving at transonic Mach number,
where the base drag is huge even a little reduction will
give significant increase in the range and hence saving in
the energy.