Chapter 1 Introduction
9
1.14 The volume flow Q over a dam is
proportional to dam width B and also varies
with gravity g and excess water height H
upstream, as shown in Fig. P1.14. What is
the only possible dimensionally homogeneous relation for this flow
2.45 Determine the gage pressure at point A in Fig. P2.45, in pascals. Is it higher or lower
than Patmosphere ?
Solution: Take 9790 Nm3 for water and 133100 Nm3 for mercury. Write the
hydrostatic formula between the atmosphere and point A:
patm (0.85)(979
126
Solutions Manual Fluid Mechanics, Fifth Edition
Solution: The horizontal component is
FH h CG A vert (9790)(6)(2 6)
705000 N
Ans. (a)
Fig. P2.85
The vertical component is the weight of the fluid above the quarter-circle panel:
FV W(2 by 7 rectangle)
Chapter 3 Integral Relations for a Control Volume
P3.13 The cylindrical container in Fig. P3.13
is 20 cm in diameter and has a conical contraction
at the bottom with an exit hole 3 cm in diameter.
The tank contains fresh water at standard sea-level
condit
Solution: The CV encloses the inlet and outlet and is just inside the walls of the tube.
We dont need to establish a relation between u max and U o by integration, because the
results for these two profiles are given in the text. Note that U o u av at sec