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Introduction to Fluid Analysis 369
10.2 Determine the pressure and velocity distributions of the flow of air over a solid
half-cylinder. The 20 cm long half-cylinder has a radius of 5 cm, and is placed on the
ground. The upstream air has a velocity of 5 mm/s, and the air in the downstream
passageway is at atmospheric pressure. Assume nonslip boundary conditions at the
air–solid interface and the air is at a constant room temperature of 25°C.
Flow direction
R5.000
All dimensions are in
centimeters.
10.3 Determine the pressure and velocity distributions of the flow of air over a solid
sphere. The sphere has a radius of 5 cm. The upstream air has a velocity of 5 mm/s,
and the air in the downstream passageway is at atmospheric pressure. Assume
nonslip boundary conditions at the spherical surface and the air is at a constant
room temperature of 25°C.
R5.000
All dimensions are in
centimeters.
Flow direction
10.4 The heat sink shown below has a square base of size 22 mm × 22 mm × 2 mm and
consists of an array of square pin-fins, each of size 2 mm × 2 mm × 8 mm. The
pin-fins are separated by a gap distance of 4 mm in each direction. Determine the
pressure and velocity distributions of the flow of air over the heat sink at room
temperature of 25°C. Suppose the square base of the heat sink is in contact with
