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GATE 2023 || Fluid Mechanics & Machinery || Quiz 8

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Question 1

In a turbulent flow with Reynold Number = 5100 through a pipe, find the distance from the pipe wall at which the local velocity is equal to that of the average velocity of flow. Given the flow is of a fluid with specific gravity 0.95 and pipe radius is 20cm.

(R is the radius of the pipe)

Question 2

A fluid is flowing is through a circular pipe. For flow to be laminar the friction factor is k × 10-3. (Critical Reynold's number is 2000)

Question 3

For Laminar flow of an oil having dynamic viscosity μ = 1.67 Pa.s in a 0.2m diameter pipe, the velocity distribution is parabolic with a maximum point velocity of 2.5 m/s at the centre of the pipe. Calculate the shearing stresses at the pipe wall.

Question 4

The pressure gradient (in N/m2 per m) for the laminar flow of oil with a maximum velocity of 4 m/s between two horizontal parallel fixed plates which are 100 mm apart is ____.
[Given .]

Question 5

For steady, fully developed flow inside straight pipe diameter 1 m, neglecting gravity effects, the pressure drop is 50 kPa over a length of 100 m. The wall shear stress will be

Question 6

In a 0.18 m diameter, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m3/s. The power required to maintain the flow (in kW) is_______.
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