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0800CET203122001

A cylinder of 3 m diameter is placed across a channel of 5 m width. Water is
retained on one side of the cylinder for a depth of 3 m and on the other side, it
retains oil (SG=0.8) for a depth of 1.5 m. Determine the resultant force acting
on the cylinder.

Module 2

The velocity component in a 2D incompressible flow field are
y> sim
u=——+2x-x?yand v=xy° -2y- ae Determine and acceleration at

P(1,3).

Derive the continuity equation in 3D Cartesian coordinates.
A buoy carrying a beam-light has the upper portion cylindrical, 2 m diameter
and 1.25 m deep. The lower portion, which is curved one displaces a volume
of 400 litres and its centre of buoyancy is located 1.3 m below the top of the
cylinder. The centre of gravity of the whole buoy is 0.95 m below the top of
the cylinder and the total displacement is 25.5 kN. Find the metacentric height
of the body.

Module 3
An orifice meter consisting of 100 mm diameter orifice in a 250 mm diameter
pipe has Cy=0.65. The pipe delivers oil of specific gravity 0.8. The pressure
difference in the two sides of the orifice plate is measured by mercury-oil
differential manometer. If the differential gauge reading is 800 mm of
mercury, find the rate of flow of oil through the pipe in litres/s.
A partially submerged rectangular orifice is 1 m wide and 0.8 m deep.
Calculate the discharge through the orifice, if the water level on the upstream
is 4 m above the upper edge of the orifice and that at the downstream is 0.3
above the lower edge of the orifice. Take 0.62.
A pipeline with diameter 80 cm and length 3000 m connects two open
reservoirs of water which have their surface elevations of 100 m and 70 m
above a datum. In order to increase the flow rate between the reservoirs by
20 %, it is decided to lay an additional pipe of same diameter in parallel to the
first one. The second pipeline is to be originated from the upper reservoir and
is to be connected at some suitable point. Determine the point of connection,

assuming the friction factor as 0.04 for both the lines. Neglect minor losses.

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