Chapter 1 Introduction
1.1 A gas at 20C may be rarefied if it contains less than 1012 molecules per mm3. If Avogadro's number is 6.023E23 molecules per mole, what air pressure does this represent? Solution: The mass of one molecule of air may be computed
Chapter 10 Open Channel Flow
10.1 The 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 th
Chapter 9 Compressible Flow
9.1 An 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 =
Chapter 8 Potential Flow and Computational Fluid Dynamics
8.1 Prove 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
dr r d
|streamline = vr
v
=
Chapter 7 Flow Past Immersed Bodies
7.1 For flow at 20 m/s past a thin flat plate, estimate the distances x from the leading edge at which the boundary layer thickness will be either 1 mm or 10 cm, for (a) air; and (b) water at 20C and 1 atm. Solution: (a
Chapter 5 Dimensional Analysis and Similarity
5.1 For 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 3 velocity. If d = 5 cm and the fluid is
Chapter 4 Differential Relations for a Fluid Particle
4.1 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 (
Chapter 2 Pressure Distribution in a Fluid
105
champagne 6 inches above the bottom:
2 4 p AA + (0.96 62.4) ft - (13.56 62.4) ft = patmosphere = 0 (gage), 12 12
or: PAA = 272 lbf/ft 2 (gage)
Then the force on the bottom end cap is vertical only (due to s
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 h
Chapter 11 Turbomachinery
11.1 Describe 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