Korea Advanced Institute of Science and Technology
Fluid Mechanics
MECHNACIAL MAE221

Spring 2010
NAME _
ID Number_
Problem 1 (30 points)
1.
(12 points) True/False Questions. Please circle whether the statement is true or
false. If the statement is false, please provide a correction in the space provided.
No partial credit will be given if the reasoni
Korea Advanced Institute of Science and Technology
Fluid Mechanics
MECHNACIAL MAE221

Spring 2010
MAE221 Fluid Mechanics
Homework #2 (7 problems)
Due: 10:00pm on October 2, 2015.
1. A piston having a crosssectional area of 0.07 m2 is located in a cylinder containing water as shown
in Fig. P1. An open Utube manometer is connected to the cylinder as
Korea Advanced Institute of Science and Technology
Fluid Mechanics
MECHNACIAL MAE221

Spring 2010
1. Drugeluting materials are often used for controlled, timerelease of drugs,over extended
periods. The implant is often in the form of a diskshaped polymer implant that can easily be
inserted subcutaneously. For a thin disk (thickness, H < radius, a),
Korea Advanced Institute of Science and Technology
Fluid Mechanics
MECHNACIAL MAE221

Spring 2010
NAME _
ID Number_
Problem 1 (30 points)
1.
(12 points) True/False Questions. Please circle whether the statement is true or
false. If the statement is false, please provide a correction in the space provided.
No partial credit will be given if the reasoni
Korea Advanced Institute of Science and Technology
Fluid Mechanics
MECHNACIAL MAE221

Spring 2010
(a) (3 points) Show that the ycomponent of velocity, v, is a function of only x.
Sol) Since the flow is assumed to be fullydeveloped,
v
=0
+1.5
y
,
.
Therefore, u = w = 0 from the continuity equation (only velocity component is in the y direction).
.
In
Korea Advanced Institute of Science and Technology
Fluid Mechanics
MECHNACIAL MAE221

Spring 2010
MAE221 Fluid Mechanics
Homework #2 (7 problems)
Due: 10:00pm on October 2, 2015.

NOTE: Use this page as the front cover of your homework.
Students at KAIST ME are expected to respect personal honor and the rights of others, and they must
possess persona
Korea Advanced Institute of Science and Technology
Fluid Mechanics
MECHNACIAL MAE221

Spring 2010
NAME _
ID Number_
Problem 2 (20 points)
(a) (4 points)
Since the atmospheric pressure is applied on both sides, we dont have to consider the atmospheric
pressure for the net hydrostatic force.
= = = 9.8 1000 1.5 sin(60) 3 2 = 76383 = . []
The F acts in t
Korea Advanced Institute of Science and Technology
Fluid Mechanics
MECHNACIAL MAE221

Spring 2016
1. Consider fully developed Couette flow. The flow is twodimensional in the xyplane. The
velocity field is given by v Vy h x 0 y , where V is the velocity of the top moving plate
and h is the channel height.
(a) Derive an expression for velocity potenti