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Assignment EME 4350 FLUID I

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Assignment/Cat Home CAT

1) Determine the mass density, specific volume and specific weight of a liquid whose specific gravity is
0.85.

2) A liquid has a specific gravity of 1.9 and kinematic viscosity of 6 stokes. What is its dynamic viscosity?

3) Determine the minimum size of glass tubing that can be used to measure water level, if the capillary rise
in the tube is not to exceed 0.25 mm. Take surface tension of water in contact with air as 0.0735 N/m.

4) A U-tube is made up of two capillaries of bore 1 mm and 2 mm respectively. The tube is held vertically
and is partially filled with liquid of surface tension 0.05 N/m and zero contact angle. Calculate the mass
density of the liquid if the estimated difference in the level of two menisci is 12.5 mm.

5) A soap bubble 50 mm diameter has an internal pressure in excess of the outside pressure of 25 N/m2.
Calculate tension in the soap film.

6) Find the depth of a point below water surface in sea where the pressure intensity is 100.55 kN/m2.
Specific gravity of sea water is 1.025.

7) Convert a pressure head of 100 m of water to


(i) kerosene of specific gravity 0.81, and
(ii) carbon tetrachloride of specific gravity 1.6.
8) A simple manometer (U-tube) containing mercury is connected to a pipe in which an oil of specific
gravity 0.8 is flowing. The pressure in the pipe is vacuum. The other end of the manometer is open to
atmosphere. Find the vacuum pressure in pipe, if the difference of mercury level in the two limbs is 200
mm and height of oil in the left-limb from the centre of the pipe is 150 mm below.

9) Fig. 2.44 shows a differential manometer connected at two points A and B. If at A air pressure is 78.5
kN/m2, find the absolute pressure at B

10) A rectangular plate 2m × 4m is vertically immersed in water is such a way that 2 metres side is parallel
to the water surface and 2.5 metres below it. Find the total pressure on the rectangular plate. Take w =
9.81 kN/m3.
11) The diameters of a tapering pipe at the sections 1-1 and 2-2 are 100 mm and 150 mm respectively. If the
velocity of water flowing through the pipe at section 1-1 is 5 m/s, find:
(i) Discharge through the pipe, and
(ii) Velocity of water at section 2-2.

12) A horizontal venturimeter 300 mm × 150 mm is used to measure the flow of oil of sp. Gravity 0.8. The
discharge of oil through venturimeter is 0.5 m3/s. Find the reading of oil-mercury differential
manometer. Take venturimeter constant = 0.98.

13) The water is coming out of an orifice of diameter 100 mm under a head of 10 m. It is collected in a
circular tank of diameter 1.5 m. The rise of water level in this tank is 1.0 m. in 25 seconds. Also the co-
ordinates of a point on the jet, measured from venacontracta are 4.3 m horizontal and
0.5 m vertical. Find the hydraulic co-efficients (i.e.co-efficient of discharge, co-efficient of velocity and
co-efficient of contraction).

14) Find the discharge through a trapezoidal notch which is 1 m wide at the top and 0·4 m at the
bottom and is 0·3 m in height. The head of water on the notch is 0·2 m. Assume Cd for rectangular
portion = 0·62 while for triangular portion = 0·6.

15) Find the discharge over a stepped rectangular notch, as shown in Fig. 9·12. Take co-efficient
of discharge for all the portions as 0·64.

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