STEADY-S'TATE STABI-b B0UNI)ARY LAYER
91
distribution. This together with the equatiom of mean motion and appropriate boundary conditions form the basis of our simple steady-state model
of the stable boundary layer. The numerical solution based on a version of
the "shooting method" yields velocity defect and stress profiles for different
values of the dimensionless stability parameter.
For the neutral case, the results of our model compare quite well with an
earlier model by Bobyleva et a/. (1967) and aiso with a more sophisticated
numerical model recently proposed by Wyngaard et ul. (this volume). The
two most significant results for the stable boundary layer are:
(1) The dimensionless boundary layer height varies in inverse proportion
to the square-root of the stability parameter; this trend was also predicted
by Zilitinkevich ( 1972) from totally different reasoning.
(2) The calculated forms of the stability depcndcnt functions in the geostrophic drag relations are in fair agreement with their empirical estimates
from the " Wangara" data.
ACKNOWLEDGMENTS
This research was supported by the National Science Foundation through Grants CA-14680
and CiV-32342. The authors wish to thank Mr. Vincc W o w lor helping in the computer
calculations.
REFERENCFS
Arya. S. P. S. (1972). The critical condition for the maintenance of turbulence in stratified Rows.
Qucrrr. J. Rev. h f c i i w d . Soc. 98. 264 ,273.
Ary;;. S. 1' . S. (1973). Neutral planetary boundary layer above a nonhomogeneous surface.
h t p / i IX /.'luid Dyti. 4. 333- 355.
AI.~;I. S. 1'. S.. and Platc, k', J. (1969). Modeling of the stably stratified atmospheric boundary
laqcr. J . AUWJS. Sci. 26, 656 665.
Ulackadar. A. K. (1962). .The vertical distribution o f wind and turbulent exchange in a neutral
atmorpherc. J . Gunphys. Res. 67. 3095--3103.
Bohyleva. I. M.. Zilitinkevich, S. S., and Laikhtman. D. L. (1967). Turbulent regime in a
thermally stratified planetary atmospheric boundary layer. "Atmospheric Turbulence and
Kadiowavc Propagation," pp. 179- 190. Nauka, Moscow.
Rusinger. J. A., Wynganrd. J. C.. Izumi, Y., and Bradley. E. F. (1971). Flux-profile relationships
in the atmospheric surface layer. J . Artnos. Sci. 28, 181-189.
Carl. D. M.. Tarbell. T. C.. and Panofsky. H. A. (1973). Profiles of wind and temperature from
iowers over homogeneous terrain. J . Almw. Sci. 30, 788-794.
Clrrkc. R. H. (1970). Observational studies in the atmospheric boundary layer. Qiturr. J . R q .
Mrteorol. Soc. 96. 9 I - 1 14.
Clarkc. R. ti.. Uycr. A. J.. Brook, R. R.. Reid, D. G., and Troup. A. J. (1971). "The Wangara
Experiment: Boundary Layer Data," Div. Metcord. Phys. Pap. No. 19. Commonw. Sci.
Iiid. Rcs. Organ.. Last Melbourne.
DcardorlT. J. W. (1970). A three-dimensional numerical investigation of thc idealized planetary
boundary layer. Gcwphys. Flitid Drn. 1. 377--410.
91
distribution. This together with the equatiom of mean motion and appropriate boundary conditions form the basis of our simple steady-state model
of the stable boundary layer. The numerical solution based on a version of
the "shooting method" yields velocity defect and stress profiles for different
values of the dimensionless stability parameter.
For the neutral case, the results of our model compare quite well with an
earlier model by Bobyleva et a/. (1967) and aiso with a more sophisticated
numerical model recently proposed by Wyngaard et ul. (this volume). The
two most significant results for the stable boundary layer are:
(1) The dimensionless boundary layer height varies in inverse proportion
to the square-root of the stability parameter; this trend was also predicted
by Zilitinkevich ( 1972) from totally different reasoning.
(2) The calculated forms of the stability depcndcnt functions in the geostrophic drag relations are in fair agreement with their empirical estimates
from the " Wangara" data.
ACKNOWLEDGMENTS
This research was supported by the National Science Foundation through Grants CA-14680
and CiV-32342. The authors wish to thank Mr. Vincc W o w lor helping in the computer
calculations.
REFERENCFS
Arya. S. P. S. (1972). The critical condition for the maintenance of turbulence in stratified Rows.
Qucrrr. J. Rev. h f c i i w d . Soc. 98. 264 ,273.
Ary;;. S. 1' . S. (1973). Neutral planetary boundary layer above a nonhomogeneous surface.
h t p / i IX /.'luid Dyti. 4. 333- 355.
AI.~;I. S. 1'. S.. and Platc, k', J. (1969). Modeling of the stably stratified atmospheric boundary
laqcr. J . AUWJS. Sci. 26, 656 665.
Ulackadar. A. K. (1962). .The vertical distribution o f wind and turbulent exchange in a neutral
atmorpherc. J . Gunphys. Res. 67. 3095--3103.
Bohyleva. I. M.. Zilitinkevich, S. S., and Laikhtman. D. L. (1967). Turbulent regime in a
thermally stratified planetary atmospheric boundary layer. "Atmospheric Turbulence and
Kadiowavc Propagation," pp. 179- 190. Nauka, Moscow.
Rusinger. J. A., Wynganrd. J. C.. Izumi, Y., and Bradley. E. F. (1971). Flux-profile relationships
in the atmospheric surface layer. J . Artnos. Sci. 28, 181-189.
Carl. D. M.. Tarbell. T. C.. and Panofsky. H. A. (1973). Profiles of wind and temperature from
iowers over homogeneous terrain. J . Almw. Sci. 30, 788-794.
Clrrkc. R. H. (1970). Observational studies in the atmospheric boundary layer. Qiturr. J . R q .
Mrteorol. Soc. 96. 9 I - 1 14.
Clarkc. R. ti.. Uycr. A. J.. Brook, R. R.. Reid, D. G., and Troup. A. J. (1971). "The Wangara
Experiment: Boundary Layer Data," Div. Metcord. Phys. Pap. No. 19. Commonw. Sci.
Iiid. Rcs. Organ.. Last Melbourne.
DcardorlT. J. W. (1970). A three-dimensional numerical investigation of thc idealized planetary
boundary layer. Gcwphys. Flitid Drn. 1. 377--410.