Spin plays an important role in the flight trajectory of golf, ping-pong, and tennis balls. Therefore, it is important to know the rate at which spin decreases for a ball in flight. The aerodynamic torque, T , acting on a ball in flight, is thought to depend on flight speed, V , air density, ρ , air viscosity, μ , ball diameter, D , spin rate (angular speed), ω , and diameter of the dimples on the ball, d . Determine the dimensionless parameters that result.
Spin plays an important role in the flight trajectory of golf, ping-pong, and tennis balls. Therefore, it is important to know the rate at which spin decreases for a ball in flight. The aerodynamic torque, T , acting on a ball in flight, is thought to depend on flight speed, V , air density, ρ , air viscosity, μ , ball diameter, D , spin rate (angular speed), ω , and diameter of the dimples on the ball, d . Determine the dimensionless parameters that result.
Spin plays an important role in the flight trajectory of golf, ping-pong, and tennis balls. Therefore, it is important to know the rate at which spin decreases for a ball in flight. The aerodynamic torque, T, acting on a ball in flight, is thought to depend on flight speed, V, air density, ρ, air viscosity, μ, ball diameter, D, spin rate (angular speed), ω, and diameter of the dimples on the ball, d. Determine the dimensionless parameters that result.
4. Determine which of the following flow fields represent a possible
incompressible flow?
(a) u= x²+2y+z; v=x-2y+z;w= -2xy + y² + 2z
a
(b) V=U cose
U coso 1 (9)
[1-9]
Usino |1 (4)]
[+]
V=-Usin 1+1
3. Determine the flow rate through the pipe line show in the figure in ft³/s,
and determine the pressures at A and C, in psi.
5'
B
C
12°
20'
D
6"d
2nd-
Water
A
5. A flow is field given by V = x²₁³+xy, and determine
3
·y³j-
(a) Whether this is a one, two- or three-dimensional flow
(b) Whether it is a possible incompressible flow
(c) Determine the acceleration of a fluid particle at the location (X,Y,Z)=(1,2,3)
(d) Whether the flow is rotational or irrotational flow?
Chapter 7 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
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