Power-law velocity profile in a turbulent Ekman layer on a transitional rough surface

Quarterly Journal of the Royal Meteorological Society

Volumn 134, Issue 634 A, 2008, Pages 1113-1125

  Afzal, Noor ^a  

^a ALIGARH MUSLIM UNIVERSITY   (India)

Author keywords

Izakson millikam kolmogorov hypothesis; Neutral barotropic planetary boundary layer; Power law and log law velocity profiles; Rossby number similarity theory

Indexed keywords

IZAKSON-MILLIKAM-KOLMOGOROV HYPOTHESIS; NEUTRAL BAROTROPIC PLANETARY BOUNDARY LAYER; POWER LAWS; POWER-LAW AND LOG-LAW VELOCITY PROFILES; ROSSBY-NUMBER SIMILARITY THEORY; APPROXIMATE SOLUTIONS; ASYMPTOTIC THEORIES; CLOSURE MODELS; DO-MAINS; EDDY VISCOSITIES; EKMAN LAYERS; FRICTION VELOCITIES; FUNCTIONAL EQUATIONS; FUNCTIONAL SOLUTIONS; INNER WALLS; IZAKSON-MILLIKAN-KOLMOGOROV HYPOTHESIS; KOLMOGOROV; LAW CONSTANTS; LOG LAWS; MIXING LENGTHS; PREFACTOR; ROSSBY NUMBERS; ROUGH SURFACES; SCALINGS; SUCCESSIVE DERIVATIVES; VELOCITY PROFILES; WALL ROUGHNESSES;

DRAG; LAWS AND LEGISLATION;

BAROTROPIC MOTION; BOUNDARY LAYER; DRAG; EKMAN LAYER; GEOSTROPHIC FLOW; POWER LAW; ROSSBY NUMBER; SURFACE ROUGHNESS; TURBULENT FLOW; VELOCITY PROFILE; DRAG COEFFICIENT; TURBULENT BOUNDARY LAYER;

BOUNDARY LAYERS; DRAG; FUNCTIONAL ANALYSIS; HYDRODYNAMICS; TURBULENCE; VELOCITY;

EID: 50949118571     PISSN: 00359009     EISSN: None     Source Type: Journal    
DOI: 10.1002/qj.285     Document Type: Article

References (36)

1. Afzal N. 1976. Millikan argument at moderately large Reynolds numbers. Phys. Fluids 19: 600-602.
2. Afzal N. 2005a. 'Scaling of power law velocity profile in wall-bounded turbulent shear flows'. AIAA-2005-0109, 43rd AIAA Aerospace Sciences Meeting and Exhibit, 10-13 Jan 2005, Reno Nevada.
3. Afzal N. 2005b. Analysis of power law and log law velocity profiles in overlap region of a turbulent wall jet. P. R. Soc. A 461: 1889-1910.
4. Afzal N. 2007. Power law velocity profile in the turbulent boundary layer on transitional rough surfaces. J. Fluid Eng. 129: 1083-1100.
5. Afzal N, Narasimha R. 1976. Axisymmetric turbulent boundary layers along a circular cylinder with constant pressure. J. Fluid Mech. 74: 113-129.
6. Afzal N, Seena A, Bushra A. 2006. Power law turbulent velocity profile in transitional rough pipes. J. Fluid Eng. 128: 548-558.
7. Arya SPS. 1975. Geostrophic drag and heat transfer relations for the atmospheric boundary layer. Q. J. R. Meteorol. Soc. 101: 147-161.
8. Blackadar AK, Tennekes H. 1968. Asymptotic similarity in neutral barotropic planetary boundary layers. J. Atmos. Sci. 25: 1015-1022.
9. Caldwell DR, van Atta CW, Heland KN. 1972. A laboratory study of the turbulent Ekman layer. Geophysical Fluid Dynnamics 3: 125-160.
10. Clauser FM. 1954. Turbulent boundary layers in adverse pressure gradients. J. Aeronautical Sciences 21: 91-108.
11. Coleman GN. 1999. Similarity statistics from a direct numerical simulation of the neutrally stratified planetary boundary layer. J. Atmos. Sci. 56: 891-900.
12. Coleman GN, Ferziger JH, Spalart PR. 1990. A numerical study of the turbulent Ekman layer. J. Fluid Mech. 213: 313-348.
13. Coleman GN, Johnstone R, Ashworth M. 2005. 'DNS of the turbulent Ekman layer at Re = 2000'. In ERCOFTAC Workshop Direct and Large-Eddy Simulation-6, Poitiers, France, 12-14 September 2005, 1-8.
14. Csanady GT. 1967. On the resistance law of a turbulent Ekman layer. J. Atmos. Sci. 24: 467-471.
15. Freedman FR, Jacobson MZ. 2002. Transport-dissipation analytical solutions to the E-e turbulence model and their role in predictions of the neutral ABL. Boundary-Layer Meteorol. 102: 117-138.
16. Garratt JR. 1994. The Atmospheric Boundary Layer. Cambridge University Press.
17. Garratt JR, Hess GD. 2002. 'Neutrally stratified boundary layer'. Pp 262-271 in Holton JR, Pyle J, Curry J (eds), Encyclopedia of Atmospheric Sciences. Academic Press.
18. Gill AE. 1968. Similarity theory and geostrophic adjustments. Q. J. R. Meteorol. Soc. 94: 586-588.
19. Hess GD, Garratt JR. 2002. Evaluating models of the neutral, barotropic planetary boundary layer using integral measures. Part I: Overview. Boundary-Layer Meteorol. 104: 333-358.
20. Howard GC, Slawson PR. 1975. The characteristics of a laboratory produced turbulent Ekman layer. Boundary-Layer Meteorol. 8(2): 201-219.
21. Izakson AA. 1937. On formula for the velocity distribution near walls. Tech. Phys. USSR 4: 155-159.
22. Kazanski AB, Monin AS. 1961. On the dynamic interaction between the atmosphere and earths surface. Izv. AN SSSR Geophys. 5: 514-515.
23. Kolmogorov AN. 1941. The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Dolk. Akad. Nauk. SSSR 30: 9-13 (reprinted in P. R. Soc. A 434: 9-13, 1991).
24. Lin CL, Moeng CH, Sullivan PP, McWilliams JC. 1997. The effect of surface roughness on flow structures in a neutrally stratified planetary boundary layer flow. Phys. Fluids 9(11): 3235-3249.
25. Millikan CB. 1938. 'A critical discussion of turbulent flow in channels and circular tubes'. Pp 386-392 in Proc. 5th International Congress of Applied Mechanics.
26. Prandtl L. 1935. 'The mechanics of viscous fluids'. Pp 34-208 in Durand WF (ed), Aerodynamics Theory, Vol.3. California Institute of Technology: Pasadena, California.
27. Prandtl L, Tollmien W. 1924. Die Windverteilung ber dem Erdboden, errechnet aus den Gesetzen der Rohrstrmung. Z. Geophys. 1: 47-55.
28. Rossby CG, Montgomery RB. 1935. The layers of frictional influence in wind and ocean currents. Pap. Phys. Oceanogr. Meteorol. 3(3): 101 pp.
29. Shingai K, Kawamura H. 2004. A study of turbulence structure and large-scale motion in the Ekman layer through direct numerical simulations. J. Turbul. 5: 013 (http//jot.iop.org/).
30. Swimbank WC. 1974. The geostrophic drag coefficient. Boundary-Layer Meteorol. 7: 125-127.
31. Zilitinkevich SS. 1975. Resistance laws and prediction equations for the depth of the planetary boundary layer. J. Atmos. Sci. 32: 741-752.
32. Zilitinkevich SS. 1989. Velocity profiles, the resistance law and the dissipation rate of mean flow kinetic energy in a neutrally and stably stratified planetary boundary layer. Boundary-Layer Meteorol. 46: 367-387.
33. Zilitinkevich SS, Deardorff JW. 1974. Similarity theory for the planetary boundary layer of time-dependent height. J. Atmos. Sci. 31: 1449-1452.
34. Zilitinkevich SS, Esau IN. 2002. On integral measures of the neutral, barotropic planetary boundary layers. Boundary-Layer Meteorol. 104: 371-379.
35. Zilitinkevich SS, Esau IN. 2005. Resistance and beat/mass transfer laws for neutral and stable planetary boundary layers old theory advanced and re-evaluated. Q. J. R. Meteorol. Soc. 131: 1863-1892.
36. Zilitinkevich SS, Laikhtman DL, Monin AS. 1967. Dynamics of the boundary layer in the atmosphere. Izv. AN SSSR Fiz. Atm. 3(3): 297-333.