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00000CH205121903

PART छ
Answer any two full questions, each carries 15 marks.
T ∙ ∙ ∙ ⋅ ற்‌
he velocity components in a 2D plane motion of a fluid are u = ay an
x+y)

൮5 200

(x? + yy 1

(i) Show that fluid is incompressible and flow is irrotational.

(ii) Show that the points (2, 2) and (1, 2-13) are located on the same
stream line.

(iii) Determine the discharge across a line joining point (1, 1) and (2, 2)
given that the thickness of the fluid stream normal to the x-y plane is
है

Explain the Boundary-layer formation in straight tubes with neat sketch.
A pipe bend tapers from a diameter of d; of 500 mm at inlet to a diameter of 6) of
250 mm at outlet and turns the flow through an angle 0 of 45°. Measurements of
pressure at inlet and outlet show that the pressure [1 at inlet is 40 [तेरा 2 and the
pressure ‏دم‎ at outlet is 23 kN ന. If the pipe is conveying oil which has a density
p of 850 kg ന, calculate the magnitude and direction of the resultant force on
the bend when the oil is flowing at the rate of 0.45 m/s. The bend is in a
horizontal plane.
Sketch and explain boundary-layer separation and wake formation in pipe flow.
Derive Bernoulli’s equation from Euler’s equation stating all assumptions.
PART C

Answer any two full questions, each carries 20 marks.
Prove that the shear stress distribution in a pipeline follows a straight line
equation.
A 4 mm diameter horizontal, 40 m long pipe is attached to a reservoir containing
20 °C water. The surface of the water in the reservoir is 4 m above the pipe
outlet. Assume a laminar flow and estimate the average velocity in the pipe. Also,
calculate the length of the entrance region.
State and prove Prandtl one seventh power law.
Derive the expression for estimation of flow rate through venturimeter.

With neat sketch explain any two valves using in process industries.

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