“A Note on the bottom shear stress in oscillatory planetary boundary layer flow”

Authors: Dag Myrhaug,
Affiliation: NTNU
Reference: 1988, Vol 9, No 3, pp. 129-136.

Keywords: Oscillatory planetary flow, boundary layer, eddy viscosity, bottom shear stress

Abstract: A simple analytical theory is presented, which describes the motion in a turbulent oscillatory planetary boundary layer near a rough seabed using a two-layer, time-invariant eddy viscosity model. The bottom shear stress is outlined, and comparison is made with Pingree and Griffiths´ (1974) measurements of turbulent tidal planetary boundary layer flow on the continental shelf south-west of Lands End, England.

PDF PDF (840 Kb)        DOI: 10.4173/mic.1988.3.2

References:
[1] BUSINGER, J.A. ARYA, S.P.S. (1974). Height of the mixed layer in the stably stratified planetary boundary layer, Advances in Geophysics.Academic Press, New York, pp. 73-92.
[2] DAVIES, A.M. (1985). On determining current profiles in oscillatory flows, Applied Mathematical Modelling, 9, 419-428 doi:10.1016/0307-904X(85)90107-6
[3] JENKINS, A.D. (1987). Wind and wave induced currents in a rotating sea with depth-varying eddy viscosity, Journal of Physical Oceanography. 17, 938-951.
[4] KING, H.L., DAVIES, A.G., SOULSBY, R.L. (1985). A numerical model of the turbulent boundary layer beneath surface waves and tides, Institute of Oceanographic Sciences, Report No. 196, Wormley, Godalming, Surrey, England, 90 pp.
[5] LONG, C.E. (1981). A simple model for time-dependent stably stratified turbulent boundary layers, Dept. of Oceanography, Spec. Rep. 95, University of Seattle, Seattle, Washington, 170 pp.
[6] McPHEE, M.G. SMITH, J.D. (1976). Measurements of the turbulent boundary layer under pack ice, Journal of Physical Oceanography. 6, 696-711.
[7] MYRHAUG, D. (1982). On a theoretical model of rough turbulent wave boundary layers, Ocean Engineering, 9, 547-565 doi:10.1016/0029-8018(82)90002-6
[8] MYRHAUG, D. (1987). Comparison of a simple planetary boundary layer with measurements of a turbulent boundary layer under pack ice, Continental Shelf Research, 7, 135-148 doi:10.1016/0278-4343(87)90075-6
[9] PINGREE, R.D. GRIFFITHS, D.K. (1974). The turbulent boundary layer on the continental shell, Nature, 250, 720-722 doi:10.1038/250720a0
[10] PRANDLE, D. (1982). The vertical structure of tidal currents, Geophys. Astrophys. Fluid Dynamics, 22, 29-49 doi:10.1080/03091928208221735
[11] SCHLICHTING, H. (1979). Boundary-Layer Theory, 7th Edition.McGraw-Hill, New York.
[12] SOULSBY, R.L. (1983). The bottom boundary layer of shelf seas, in (Physical Oceanography of Coastal and Shelf Seas (edited by B. Johns) (Elsevier, New York), pp. 189-266 doi:10.1016/S0422-9894(08)70503-8
[13] SVERDRUP, H.U. (1927). Dynamic of tides on the North Siberian Shelf, Geofysiske Publikasjoner 4. 75 pp.


BibTeX:
@article{MIC-1988-3-2,
  title={{A Note on the bottom shear stress in oscillatory planetary boundary layer flow}},
  author={Myrhaug, Dag},
  journal={Modeling, Identification and Control},
  volume={9},
  number={3},
  pages={129--136},
  year={1988},
  doi={10.4173/mic.1988.3.2},
  publisher={Norwegian Society of Automatic Control}
};