Final Examination, 2008Fluid Mechanics Professor Joon Hyun Kim Problems of Third Chapter (Fluid Dynamics)[4.9] [4.10] [4.11] [4.12] [4.13]

Problems of Third Chapter (Fluid Dynamics)4.9 Derive the momentum equation from the general conservation rule in integral approach and explain the energy correction factor and the momentum correction factor.

1) (Kinetic-Energy Correction Factor)

1 .

Problems of Third Chapter (Fluid Dynamics) V .

, .

, .

Problems of Third Chapter (Fluid Dynamics)

,

.

Problems of Third Chapter (Fluid Dynamics) , .

, .

.

Problems of Third Chapter (Fluid Dynamics)

.

=2, 1.01 1.10 .

Problems of Third Chapter (Fluid Dynamics) 2) (Momentum Correction factor) *, , * . . .

x .

Problems of Third Chapter (Fluid Dynamics) , , .

.

, ,

Problems of Third Chapter (Fluid Dynamics) , .

, .

.

Problems of Third Chapter (Fluid Dynamics) .

4/3 , 1 . 1 1.05 .

Problems of Third Chapter (Fluid Dynamics)4.10 The velocity profile in the turbulent flow is given by the equation of from

the law of Prandt. Derive the kinetic energy correction factor for this. ( Prandt . ?)

Problems of Third Chapter (Fluid Dynamics)

Problems of Third Chapter (Fluid Dynamics)

Problems of Third Chapter (Fluid Dynamics)

Problems of Third Chapter (Fluid Dynamics)4.11 What is the flow rate the of the venturi meter as shown below? ( Venturi Meter ?) (S=0.90, p1-p2=20kPa)

Problems of Third Chapter (Fluid Dynamics)

Problems of Third Chapter (Fluid Dynamics)

Problems of Third Chapter (Fluid Dynamics)4.12 Find the force exerted on a fixed vane when a jet discharging 60 L/s water at 50 m/s is deflected through 135. (135 . 50m/s, 60L/s.)

Problems of Third Chapter (Fluid Dynamics) 3.34 ()

Problems of Third Chapter (Fluid Dynamics) 3.34

x, y

.

Problems of Third Chapter (Fluid Dynamics)4.13 Apply the continuity, momentum, and energy equation to the hydraulic jump and derive the relative equation to solve the problem of depth after jump by using the figures as shown below.

Problems of Third Chapter (Fluid Dynamics)

Figure 3.41 Hydraulic jump in a rectangular channel. 3.41

() , . () .

Problems of Third Chapter (Fluid Dynamics) ( 3.41)

( )

Problems of Third Chapter (Fluid Dynamics) .

. ( y2 ) y1 y2 (conjugate depths) .

Problems of Third Chapter (Fluid Dynamics) (chutes, ) .

() .

y2 1% .