Flow kinematics, and mass
3. Flow kinematics, and mass and momentum conservation: Problems
Convective derivative and divergence of the
Using the Lagrangian time derivative, uid acceleration can be expre
Master Typing Sheet
8 l/f-i x 11 mm size
- ' ' l' 4_k,
_ L LT" .I " 7L1- -
7 H Water slashes back and forth in a j: 1
. P7.l2.'lhe frequency of_sloshing, w. is assumed to be a function v: -iI - L
' of the acceleration of gravity. 3. the av
7.15 The pressure rise,_ Ap, across a pump ean
' be expressed as
AP = f(D= p, 00, Q)
where D is the impeller diameter, p the hid den-
sity, co-the rotational speed, and Q the owrate.
Determine a sttitable set of dimensionless param-
Muster Typing Site:31;
81/2 X H trim size
,_|_ 4.31": it f I: iii
' 7.? Under certain conditions, wind blowing pastarectana Lit. -
! L .L.;_.
1 gular speed limit sign can cause the sign to oscillate with, a fre- _ . "'1 '
quenoy to. (S
7. 35 The pressure drop per unit length, Apn 3 2
for the flow of blood through a horizontal small Q (m ls) AP (N/m )
diameter tube is a function of the volume rate of . 3.6 x 10"5 1.1 x 10
ow, Q, thediameter,D, and the blood viscosity, L _ 4.9 x 10 1.5 x
@333 A marge-sf strag: m is Eocafad a is~
gangs. Hiram a vaiaai seiifi $131? as sham: if: "g,
Eiihe veieiifiiy "gamma? ff)? fflis imamgmg
sibie, rmtamai mv is; gvm: by
mm E'x w 2% v3
z? g 3 a , 3
~ was; w? 32 9 3233
cfw_ix Shaw 3312: them is my ew cfw
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. 13 9.
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Far :1. 7mm Jena;
These dam are p/oHeal below. The bed linear carve m We:
0 0.002 0.0025
7.3? A liquid ows with a velocity V through k V(n1/s) 3.13 4.43
a hole in the side of a large tank. Assume that h ( ) I 00 1 50 2 00 2 50
v m ' . . . .
V = hgapsa)
where h is the depth of uid above the hole, 3 is - PM 1? data by Sing aPPmPitF dme5i'
- :7_ 23 A cylinder with a diameter, D, oats upright- in a liquid Cylinder
as shown in Fig, P7213. When the cylinder is displaced slightly diameter = D
along its vertial axis it will oscillate about its equilibrium po-
sition with a frequency, w. Assu
terbacks, the'protmfrpe parametm are set at V #4011191: and
7.4- What are the dimensions of acceleration of gravity. density.
dynamic viscosity. kinematic viscosity. specic weight. and
speed of sound in (a) the FLT system. and (b) the MLT system?
Campare your results with those given in Table 1.] in Chapter I.
Master Typing Sheet
8 1/2 x H trim size 7.2? Assume that the drag, ED, on an aircraft
ying at supersonic speeds is a function of its
velocity, V, uid density, ,0, speed of sound, c, .
.andaseries oftengths, 81,. . . , El, which describe