1 Copyright © Firenze University Press
Proceedings of PHYSMOD2003:
International Workshop on Physical Modelling of Flow and Dispersion Phenomena
3-5 September 2003, Prato, Italy
INVESTIGATION OF FLOW AND PRESSURE PHENOMENA
AROUND PYRAMIDAL STRUCTURES
M. Ikhwan & B. Ruck
Laboratory of Building- and Environmental Aerodynamics
Institute for Hydromechanics, University of Karlsruhe,
Kaiserstr. 12, 76128 Karlsruhe, Germany
ABSTRACT
An experimental investigation of the flow and pressure
characteristics around pyramidal buildings is presented. The
experiments were conducted in an atmospheric boundary layer
wind tunnel at the University of Karlsruhe. The velocities of the
flow around the pyramids were measured using 2D Laser
Doppler Anemometry (LDA), and the pressure distribution on
the pyramid surfaces were measured using standard pressure
tapping technique. This study discusses the flow and pressure
phenomena around pyramidal structure with varying pyramid
base angles and wind directions. The results show for four
different pyramids (base angle 20°, 30°, 45° and 70°) that base
angle and angle of wind direction characteristically influence
the flow and pressure field yielding differences in integral flow
describing quantities and wind loads on the structure.
NOMENCLATURE
B Dimension reference
C
f
Force Coefficient
C
m
Moment coefficient
Cp Pressure coefficient
h Pyramid height
h
70
Height of pyramid P70
l Pyramid length
M
z
Moment at z-axes
p Pressure
P20 Pyramid with 20° base angle
P30 Pyramid with 30° base angle
P45 Pyramid with 45° base angle
P70 Pyramid with 70° base angle
q Dynamic pressure
Re Reynolds number
U
∞
Velocity at the boundary
U
ref
Velocity at the reference height
x Horizontal axes in x-direction
y Horizontal axes in y-direction
z Vertical axes
Z
ref
Refference height
ζ Base angle of the pyramid
α Exponential law coefficient
γ Wind direction
ρ Air density
1. INTRODUCTION
Pyramids are often associated with historical buildings or
tombs. In particular the Cheops pyramid in Egypt that was built
thousands of years ago and is famous as one of the Seven
Wonders of the World. The word pyramid originally comes
from the Greek words Pyramis and Pyramidos, derived from
the word “Pyre” which means fire. The meaning of the word
Pyramis is obscure and it may relate to the shape of a pyramid.
The word Pyramidos has been translated as "Fire In The
Middle".
From aerodynamic engineering point of view, a pyramidal
building has its own interesting characteristics. However,
despite its particular characteristics, very limited literature can
be found in this specific area (i.e. pyramidal buildings). Most of
the studies are related to rectangular and tall buildings, and
emphasize to provide information such as the reliability of
performance and the improvement of the economy of design
[4]. Furthermore, the technical layout of the pyramidal
buildings with respect to wind load assumptions is usually not
listed in standard tables. Therefore, it is important to study the
flow and pressure on pyramidal buildings.
Ruck and Roth [6, 7] in 1997 carried out experimental
investigations that involved 2 types of pyramids. They were
able to show interesting phenomena of the flow and pressure
characteristic. The flow pattern on the leeward face indicates
that the mean structures of the recirculation wakes are different
than those of other building shapes. Furthermore, the
aerodynamic loadings of pyramids are distinct from rectangular
building, since the wall taper results in different surface
pressure distributions. Abuomar & Martinuzzi [1] in 2000
investigated steep pyramids with three different base angles
(ζ=45°, 60° and 67.5°). This study showed that the flow (i.e.
separation and reattachment zone) and pressure characteristics
do not significantly depend on the base angle. On the other