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Reg No.: Name:

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
THIRD SEMESTER B.TECH DEGREE EXAMINATION, DECEMBER 2018

Course Code: CE203
Course Name: FLUID MECHANICS - 1 (CE)
Max. Marks: 100 Duration: 3 Hours

PART A
Answer any two full questions, each carries 15 marks. Marks

1 a) Define the terms gauge pressure, vacuum pressure and absolute pressure. (5)
Indicate their relative positions on a chart.

0) Acubical tank has sides of 1.5 m. It contains water in the lower 0.6 m depth. (10) The
upper remaining portion is filled with oil of relative density 0.9. Calculate for one
vertical side of the tank (i) the pressure force and (ii) position of the centre of pressure.

2 >) A solid cylinder of diameter 30 cm and height 15 cm is to float in in water with (9) its axis
vertical in sea water (specific gravity 1.03). If the relative density of the cylinder material is
0.9, examine the stability of cylinder.

b) Derive the continuity equation for one dimensional flow. (6) 3 a) Differentiate
between forced vortex flow and free vortex flow (4) b) A velocity field is given by u
=t+ 3y and v = 4t + 5x. Calculate the (7) acceleration at the point (5, 3) at time t =
2 units.

c) Distinguish between: (4)

(i) rotational flow and irrotational flow.
(ii) streamline and path-line.

PART B
Answer any two full questions, each carries 15 marks.

4a) A bend in pipeline conveying water gradually reduces from 0.6 m to 0.3 m (12) diameter and
deflects the flow through 60° in the anticlockwise direction. At the larger end the gauge
pressure is 171.675 kN/m?. Determine the magnitude and direction of the force exerted
on the bend when the flow is 876 litres/s. The pipe is lying on a horizontal plane. Neglect
the losses in the bend.
b) Define kinetic energy correction factor. (3)
5 a) A 40 metres long weir is divided into 12 equal bays by vertical posts, each 0.6 111 (7)
wide. Taking Ca= 0.623, calculate the discharge over the weir if the head over
the crest is 1.20 mand velocity of approach is 2 m/s.
b) A reservoir discharges through a sluice 0.915 m wide and 1.22 mdeep. The top (8)
of the opening is 0.61 m below the water level in the reservoir and the
downstream water level is below the bottom of the opening. Calculate
(i) discharge through the opening if Ca=0.6
(ii) the percentage error if the opening is treated as a small orifice

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