Chapter 1 Introduction
1.1 A gas at 20C may be rarefied if it contains less than 1012 molecules per mm3. If
Avogadros number is 6.023E23 molecules per mole, what air pressure does this represent?
Solution: The mass of one molecule of air may be computed a
Chapter 3 Integral Relations
for a Control Volume
P3.1 Discuss Newtons second law (the linear momentum relation) in these three forms:
Solution: These questions are just to get the students thinking about the basic
Chapter 2 Pressure Distribution
in a Fluid
2.1 For the two-dimensional stress field
in Fig. P2.1, let
xx 3000 psf yy 2000 psf
xy 500 psf
Find the shear and normal stresses on plane
AA cutting through at 30.
Solution: Make cut AA so that it just
10.1The formula for shallow-water wave propagation speed, Eq. (10.9) or (10.10), is
independent of the physical properties of the liquid, i.e., density, viscosity, or surface
tension. Does this mean that waves propagate at the sa
Chapter6 ViscousFlowin Ducts
An engineer claims that flow of SAE 30W oil, at 20C, through a 5-cm-diameter smooth
pipe at 1 million N/h, is laminar. Do you agree? A million newtons is a lot, so this sounds like
an awfully high flow rate.
11.1Describe the geometry and operation of a human peristaltic PDP which is cherished by every romantic person on earth. How do the two ventricles differ?
Solution:Clearly we are speaking of the human heart, driven periodically by
Chapter8 PotentialFlowand Computational
8.1Prove that the streamlines (r, ) in polar coordinates, from Eq. (8.10), are
orthogonal to the potential lines (r, ).
Solution:The streamline slope is represented by
|streamline = vr = / r =
9.1An ideal gas flows adiabatically through a duct. At section 1, p1 = 140 kPa, T1 =
260C, and V1 = 75 m/s. Farther downstream, p2 = 30 kPa and T2 = 207C. Calculate V2
in m/s and s2 s1 in J/(kg K) if the gas is (a) air, k = 1.4,
Chapter 7 Flow Past Immersed Bodies
An ideal gas, at 20C and 1 atm, flows at 12 m/s past a thin flat plate. At a
position 60 cm downstream of the leading edge, the boundary layer thickness is 5 mm.
Which of the 13 gases in Table A.4 is this likely to
5.1For axial flow through a circular tube, the Reynolds number for transition to turbulence is
approximately 2300 [see Eq. (6.2)], based upon the diameter and average velocity. If d = 5 cm and
the fluid is kero
Chapter 4 Differential Relations
for a Fluid Particle
P4.1 An idealized velocity field is given by the formula
V 4txi 2t 2 yj 4 xzk
Is this flow field steady or unsteady? Is it two- or three-dimensional? At the point (x, y, z)
(1, 1, 0), compute (a) the