THE INFLUENCE OF THERMAL EFFECTS ON THE WIND SPEED
PROFILE OF THE COASTAL MARINE BOUNDARY LAYER
BERNHARD LANGE
1,⋆
, SØREN LARSEN
2
, JØRGEN HØJSTRUP
2
and REBECCA
BARTHELMIE
2
1
Institute of Physics, University of Oldenburg, D-26111 Oldenburg, Germany;
2
Wind Energy
Department, Risø National Laboratory, P.O. Box 49, 4000 Roskilde, Denmark
(Received in final form 4 November 2003)
Abstract. The wind speed profile in a coastal marine environment is investigated with observations
from the measurement program Rødsand, where meteorological data are collected with a 50 m high
mast in the Danish Baltic Sea, about 11 km from the coast. When compared with the standard Monin–
Obukhov theory the measured wind speed increase between 10 m and 50 m height is found to be
systematically larger than predicted for stable and near-neutral conditions. The data indicate that the
deviation is smaller for short (10–20 km) distances to the coast than for larger (>30 km) distances.
The theory of the planetary boundary layer with an inversion lid offers a qualitative explanation
for these findings. When warm air is advected over colder water, a capping inversion typically devel-
ops. The air below is constantly cooled by the water and gradually develops into a well-mixed layer
with near-neutral stratification. Typical examples as well as scatter plots of the data are consistent
with this explanation. The deviation of measured and predicted wind speed profiles is shown to be
correlated with the estimated height and strength of the inversion layer.
Keywords: Atmospheric stratification, Coastal influences, Marine boundary layer, Monin–Obukhov
theory, Wind speed profile.
1. Introduction
Monin–Obukhov theory, although developed from measurements over land, has
been found to be generally applicable over the open sea (Edson and Fairall, 1998).
In homogenous and stationary flow conditions, it predicts a log-linear vertical
profile of the wind speed in the atmospheric surface layer:
u(z) =
u
∗
κ
ln
z
z
0
−
m
z
L
. (1)
The wind speed u at height z is determined by friction velocity u
∗
, aerodynamic
roughness length z
0
and Obukhov length L; κ denotes the von Karman constant,
taken as 0.4, and
m
is a universal stability function. Thus, if the wind speed is
known at one height, the friction velocity can be derived from Equation (1) and the
vertical wind speed profile is determined by two parameters: the surface roughness
z
0
and the Obukhov length L.
⋆
E-mail: Bernhard.Lange@uni-oldenburg.de
Boundary-Layer Meteorology 112: 587–617, 2004.
© 2004 Kluwer Academic Publishers. Printed in the Netherlands.