Abstract
The mean and turbulent characteristics of an incompressible turbulent boundary layer developing on a convex surface under the influence of an adverse pressure gradient are presented in this paper.
The turbulence quantities measured include all the components of Reynolds stresses, auto-correlation functions and power spectra of the three components of turbulence. The results indicate the comparative influence of the convex curvature and adverse pressure gradient which are simultaneously acting on the flow. The investigation provides extensive experimental information which is much needed for a better understanding of turbulent shear flows.
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Abbreviations
- a, b :
-
constants in equation for velocity defect profile (Fig. 6)
- c f :
-
skin-friction coefficient (=τ w/F 1/2 ρU 21 )
- E(k 1):
-
one-dimensional wave number spectra
- f :
-
frequency in Hz
- G :
-
Clauser's equilibrium parameter = (H−1)/H✓(c f /2)
- H :
-
shape parameter (=δ 1/δ 2)
- k 1 :
-
wave number (=2πf/U)
- L u, L v, L w :
-
length scales of u, v and w fluctuations
- p s :
-
static pressure on the measurement surface
- p w :
-
reference tunnel wall static pressure
- q 2 :
-
total turbulent kinetic energy \(\left( { = \overline {u^2 } + \overline {v^2 } + \overline {w^2 } } \right)\)
- R :
-
radius of curvature of the convex surface
- R(τ):
-
auto-correlation function
- T u, T v, T w :
-
time scales of u, v and w fluctuations
- U :
-
local mean velocity
- U 1 :
-
local free stream velocity
- U * :
-
friction velocity
- u, v, w :
-
velocity fluctuations in x, y and z directions respectively
- X :
-
streamwise coordinate measured along the surface from A (Fig. 1b)
- x :
-
streamwise coordinate measured along the surface reckoned from station 9
- y :
-
coordinate normal to the surface
- z :
-
spanwise coordinate
- β :
-
δ 1/τ w · dp/dx
- Δ:
-
\(\int\limits_0^\infty {\frac{{U_1 - U}}{{U_* }}} dy\)
- δ :
-
boundary layer thickness
- δ 1 :
-
displacement thickness
- δ 2 :
-
momentum thickness
- δ 3 :
-
energy thickness
- ν :
-
kinematic viscosity
- ρ :
-
density
- τ :
-
time delay
- τ w :
-
wall shear stress
References
Eskinazi S and Yeh H (1956) An investigation on fully developed flow in a curved channel. J Aerosol Sci 23, 23.
Schneider, WC and Wade JHT, Flow phenomena and heat transfer effects in a 90° bend. Can Aero Space J 13 (1967) p 73.
Patel VC, The effects of curvature on the turbulent boundary layer. ARC-30427, Great Britain (1968).
So RMC and Mellor GL, An experimental investigation of turbulent boundary layers along curved surfaces. NASA CR-1940 (1972).
So RMC and Mellor GL, Experiments on convex curvature effects in turbulent boundary layers, J Fluid Mech 60 (1973) p 43.
Ellis LB and Joubert PN, Turbulent shear flow in a curved duct, J Fluid Mech 62 (1974) p 65.
Meroney RN and Bradshaw P, Turbulent boundary layer growth over a longitudinally curved surface. AIAA 13 (1975) p 1448.
Dumetrescu St, Savulescu, On the effects of surface curvature on the turbulent boundary layer. Mecc Appl T18 (1973) p 633.
Ramapriyan BR and Shivaprasad BG, Mean flow measurements in turbulent boundary layers along mildly curved surfaces. AIAA 15 (1977) p 189.
Ramapriyan BR and Shivaprasad BG, The structure of turbulent boundary layer along mildly curved surfaces. J Fluid Mech 85 (1978) p 273.
Wilcox DC and Chambers TL, Streamline curvature effects on turbulent boundary layers. AIAA, 15 (1977) p 574.
Pierce FJ and Zimmerman BB, Wall shear stress influence from two- and three-dimensional boundary layer velocity profiles. J Fluids Engng Trans ASME 95 (1973) p 61.
Irwin HPA, Measurements in a self preserving plane wall jet in a positive pressure gradient. J Fluid Mech 61 (1973) p 33.
Clauser FH, Turbulent boundary layers in adverse pressure gradient. J Aerosol Sci 21 (1954) p 91.
Spangenberg WG, Rowland WR and Messrs NE (1967) Measurements in turbulent boundary layers maintained in a nearly separating condition. In Sovran G, ed. Fluid mechanics of internal flow, p 110. Elsevier.
Chithambaran VK (1978) Some studies on the structure of incompressible turbulent flow in a two-dimensional diffuser with inlet velocity distortion. PhD thesis, Indian Institute of Technology, Madras.
Nash JF (1965) Turbulent boundary layer behaviour and the auxiliary equation. Aero Rept ER. 1137, NPL England.
Ramapriyan BR, Turbulence measurements in an equilibrium axisymmetric wall jet. J Fluid Mech 71 (1965) p 317.
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Lakshmana Gowda, B.H., Aswatha Narayana, P.A. An experimental investigation of separating flow on a convex surface. Appl. Sci. Res. 36, 271–288 (1980). https://doi.org/10.1007/BF00385768
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DOI: https://doi.org/10.1007/BF00385768