Cc C192020 Pages:3

Reg No.: Name:

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
THIRD SEMESTER B.TECH DEGREE EXAMINATION(R&S), DECEMBER 2019
Course Code: CE203
Course Name: FLUID MECHANICS - I
Max. Marks: 100 Duration: 3 Hours

PARTA
Answer any two full questions, each carries 15 marks. Marks
1 a) The pressure difference between two points A and B ina pipe conveying oil of (5)
specific gravity 0.9 is measured by an inverted U-tube and the column
connected to B stands 1.2 m higher than that of A. A pressure gauge attached at
A reads 9.81*10° N/m?, determine the pressure in the pipe at B.

b) A hollow equilateral triangular plate of side 4 m on the outside and 2m inthe (7)
hollow portion is immersed in water with its plane vertical, with its vertex
downwards and base upwards, base being parallel to the free surface at a depth
of 1m below the free surface. Determine the hydrostatic pressure force on one
side of the plate and the depth of centre of pressure.

c) Define the following terms: (i) Streamline (ii) Path line (iii) Streak line. (3)

2 9) A solid cylinder of diameter 3m has a height of 2 மா. Find the metacentric (7)
height of the cylinder when it is floating in water with its axis vertical. The
specific gravity of the cylinder is 0.6. State whether the body is stable or not.

b) What is a pressure distribution diagram? What are the applications of such (4)

diagram?
c) Calculate the velocity at the point (3, 3) for the velocity potential (4)

(y? >) ‏لا‎
‎= ~ + +) +6
¢ 0 ⋅

∃⋜≖≻∣⊃⊖⊓∎⋁⊖⋔⊜∁∘⋯↥∎∏⋯∎↧⋝∣⊜⇪⋃∂↧↥∎∘∏∱∘⊺⋮⊓↾∏⊖⊜⋔∎⋯⊖∏⊰↥∎∘∏∂⇂∏∘↭↥∎⋂∁≨∐⋅↧⊜⊰⇂∎⋮⋯∁∘−≼∊≻≻

ordinates

b) 35-22) ಓಡ (6)
For the velocity potential function ¢ ಎ = , determine the corresponding
stream function. Also estimate the discharge per unit depth in the Z direction
passing between the streamlines through the points (1, 3) and (3, 3).

c) Explain Circulation and Vorticity (3)

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