Streamline , Streakline and Pathline

Q.

A streamlined body:

1. Increases friction

2. Reduces friction

3. Decreases weight

4. Increases weight

Q. A streamline and an equipotential line in a flow field

1. are parallel to each other
2. are perpendicular to each other
3. intersect at an acute angle
4. are identical

Q. For a certain two-dimensional incompressible flow, velocity field is given by $2xy\hat{i}-y^2\hat{j}$. The streamlines for this flow are given by the family of curves

1. $x^2{y}^2$= constant
2. $x{y}^2$ = constant
3. $2xy-y^2$
4. xy = constant

Q. Consider the following statements:
1. There is no flow across a streamline.
2. Streamline spacing varies directly with velocity at the section.
3. Streamlines do not cross.
4. In steady flow, streamline pattern does not change with time.

Which of these statements in respect of stream flow pattern are correct?

1. 1, 2, 3 and 4
2. 1 and 2 only
3. 1, 3, and 4 only
4. 2, 3 and 4 only

Q. A streamlined body is one for which the

1. skin friction is zero
2. thickness of the body is less than 1/100 of its length
3. corners are rounded off
4. separation occurs, if at all, at the farthest downstream part of the body

Q. For the velocity field given by $u=V\cos \theta$ and $v=V\sin \theta$ and $w=0$ , where $V$ and $\theta$ are constant, the stream lines are:

1. Straight
2. Parabolic
3. Elliptical
4. None of above

Q. Match List -I with List -II select the correct answer using the codes given below the lists:
Lists - I
A. Stream lines
B. Streak line
C. Path lines
D. Equipotential lines

List -II
1. Tracing of motion of any fluid particle
2. Tracing of motion of different fluid particles
3. Identification of location of number of fluid particles
4. Orthogonal to streak lines
5. Location of equal piezometric heads

1. A B C D
   2 3 4 5
2. A B C D
   3 2 1 4
3. A B C D
   1 2 4 3
4. A B C D
   2 3 1 5

Q. Match List- I (Name of curve) with List - II (Curve in figure) and select the correct answer using the codes given the lists:





List - I List -II
1. Equipotential line 1. PQ
2. Pathline 2. PR
3. Streakline 3. PS
4. Streamline 4. PT

1. A B C D
   2 3 1 4
2. A B C D
   4 1 3 2
3. A B C D
   2 1 3 4
4. A B C D
   4 3 1 2