34. Ex 1. The flow field represented by the velocity vector 𝑽 = 𝒂𝒙 Ƹ
𝒊 + 𝒃𝒚𝟐 Ƹ
𝒋 + 𝒄𝒛𝒕𝟐
𝒌,
where a, b and c are constant, is
(a) three-dimensional and unsteady
(b) two-dimensional and steady
(c) two-dimensional and unsteady
(d) three-dimensional and steady
35.
36. Ex 2. A path line describes
(a) The velocity direction at all points on the line
(b) The path followed by particles in a flow
(c) The path over a period of times of a single particle that has
passed out at a point
(d) The instantaneous position of all particles that have passed a
point.
37.
38. Ex 3. Steam lines, streak lines, path lines are all identical in case of
(a) Uniform flow
(b) Non-uniform flow
(c) Both (a) & (b)
(d) Steady flow
39.
40. Ex 4. A flow is defined by u = 2(1+t), v = 3(1+t) where t is the time. The
velocity at t = 2 is
(a) 6
(b) 9
(c) 10.82
(d) 6.7
41.
42. Ex 5. The value of local acceleration in the x direction for flow with u =
2(1+t) is given by
(a) 0
(b) 2t
(c) 2
(d) t
43.
44. Ex 6. The continuity equation is satisfied by
(a) u = A sin xy, v = – A sin xy
(b) u = x + y, v = x – y
(c) u = 2x2 + cy, v = 3y2
(d) u = x + 2y, v = 2x + y
45.
46. Ex 7. The continuity equation (for a fluid)
𝝏𝝆
𝝏𝒕
+
𝝏
𝝏𝒙
(𝝆𝒖) +
𝝏
𝝏𝒚
(𝝆𝒗) +
𝝏
𝝏𝒙
(𝝆𝒘) = 𝟎
Where, is the density and u, v and w are the velocity components along x, y
and respectively, is valid for
(a) Incompressible flows only
(b) Steady flows only
(c) Newtonian fluids only
(d) Any general fluid
47.
48. Ex 8. The velocity in m/s at a point in a two dimensional flow is given
as 𝐯 = 𝟑 Ƹ
𝐢 + 𝟓 Ƹ
𝐣. The equation of the system line passing through the
point (x,y) is
(a) 5dx – 3dy = 0
(b) 3x + 5y = 0
(c) 3dx + 2dy = 0
(d) xy = 15
49.
50. Ex 9. The piston of a hypodermic apparatus (figure below shown) is
being withdrawn at 7.5 mm/sec, air leaks in to barrel (as the piston
moves up) at the volume rate 20 mm3/sec. What is the velocity of the
blood flow in the needle from blood vein?
(a) 0.65 m/sec
(b) 0.75 m/sec
(c) 0.95 m/sec
(d) 1.33 m/sec
51.
52. Ex 10. Which of the following represents steady incompressible flow?
(a) u = 4xy + 2y2, v = 6xy + 3x2
(b) u = x2 + y2, v = - 2xy + 7
(c) u = x/y , v = y/x
(d) u = 2x + y, v = 4y + x
