Traditional mathematical methods fail to handle most fluid dynamics issues because they require solving non-linear partial differential equations. The simulation of turbulent flows, on the other hand, is fraught with difficulties. The direct simulation of turbulence via the time-dependent Navier-Stokes equations dubbed Direct Numerical Simulation (DNS) still quite resources intensive. An ensemble averaging approach is used to decompose the flow variables into mean and fluctuation components before using Reynolds-Averaged Navier-Stokes equations (RANS). Applying the principles of RANS, this work has been carried out on three flow phenomena. For the first phase of the study, Transition over a flat plate has been considered and SST with transition followed by Transitional k-kl-ω has predicted the transition with utmost precision whereas the other models failed to capture the onset of transition. Transonic flow over an airfoil has been considered for the second phase of the study. In the second phase, where the shockwave-boundary layer interaction and the third phase of the study where the Shockwave phenomenon was studied, Menter’s SST and Realizable k-epsilon have predicted the Shock characteristics and Shock-Wave Boundary Layer Interaction Phenomenon with utmost accuracy. ICEM CFD has been used for structured grid generation and ANSYS Fluent has been used to carry out the Numerical Analysis. ANSYS CFD Post MATLAB and Microsoft Excel have been used for preliminary calculations and result interpretation.

1.
T.
von Karman
.
Some remarks on the statistical theory of turbulence
,
Proc.5th Int. Congr. Appl. Mech., Cambridge, MA
,
347
,
1938
.
2.
Orszag
Steven A.
(1970). “
Analytical Theories of Turbulence
”.
Journal of Fluid Mechanics.
41
(
1970
):
363
386
.
3.
Reynolds
,
Osborne
,
1895
: “
On the Dynamical Theory of Incompressible Viscous Fluids and the Determination of the Criterion
Philosophical Transactions of the Royal Society of London. A, v.
186
, pp.
123
164
.
4.
Schmitt
F.G.
(
2007
), “
About Boussinesq’s turbulent viscosity hypothesis: historical remarks and a direct evaluation of its validity
”,
Comptes Rendus Mécanique
335
((
9-10
)):
617
627
5.
Pope
Stephen
.
"Turbulent Flows"
.
Cambridge University Press
,
2000
.
6.
Spalart
P. R.
and
Allmaras
S. R.
,
1992
,
"A One-Equation Turbulence Model for Aerodynamic Flows"
AIAA Paper
92-0439
7.
Henk Kaarle
Versteeg
,
Weeratunge
Malalasekera
(
2007
).
An Introduction to Computational Fluid Dynamics: The Finite Volume Method
.
Pearson Education Limited
.
8.
T. H.
Shih
,
W. W.
Liou
,
A.
Shabbir
,
Z.
Yang
, and
J.
Zhu
.
A New k-ε Eddy Viscosity Model for High Reynolds Number Turbulent Flows—Model Development and Validation
.
Computers Fluids.
24
(
3
):
227
238
,
1995
9.
Wilcox
D. C.
(
2008
),
Formulation of the k–ω Turbulence Model Revisited
,
46
(
11
),
AIAA Journal
, pp.
2823
2838
10.
Wilcox
D. C.
(
1998
),
Turbulence Modeling for CFD
(
2nd
ed.),
DCW Industries
, ISBN 0963605100
11.
Menter
F. R.
, (August
1994
), “
Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications
”,
AIAA Journal
,
32
(
8
):
1598
1605
12.
Schlichting
H.
(
1979
):
‘Boundary Layer Theory
’,
7th
Edn,
McGraw-Hill Book Company
.
13.
A. M.
Savill
. “Some recent progress in the turbulence modeling of bypass transition”.
Near-Wall Turbulent Flows
.
Elsevier Science Publishers
, pp.
829
848
,
1993
.
14.
P.E.
Roach
,
D.H.
Brierley
. “The influence of a turbulent free stream on zero pressure gradient transitional boundary layer development. Part I: Test Cases T3A and T3B”.
Simulation of Unsteady and Transition to Turbulence
.
Cambridge University Press
.
Cambridge
, pp.
319
347
,
1992
.
15.
Suad
Jakirlić
,
Bernhard
Eisfeld
,
Roland
Jester-zurker
,
Norbert
Kroll
,
Near-wall
,
Reynolds-stress model calculations of transonic flow configurations relevant to aircraft aerodynamics
.
International Journal of Heat and Fluid Flow
28
(
2007
)
602
615
This content is only available via PDF.
Published by AIP Publishing.
You do not currently have access to this content.