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QUESTION: 1

A fluid of kinematic viscosity 0.4 cm^{2}/sec flows through a 8 cm diameter pipe. The maximum velocity for laminar flow will be

Solution:

Maximum Reynold's number for laminar flow = 2000

QUESTION: 2

On a flat plate, point A is at the mid-section and point B is the trailing edge. The shear stresses τ_{A} at A and τ_{B} at B are such that

Solution:

QUESTION: 3

In a two-dimensional flow of a viscous fluid couette flow is defined for

Solution:

Coutte flow is characterized as flow of very low value of Reynolds number between two parallel plate, one is fixed and other is movable.

QUESTION: 4

Consider the following statements regarding the laminar flow through a circular pipe:

1. The friction factor is constant.

2. Thp friction factor dspends Upon the pipe roughness.

3. The friction factor varies inversely with the Reynolds number of flow.

4. The velocity distribution is parabolic.

5. The pressure drop varies directly with the mean velocity.

Of these statements:

Solution:

For laminar flow th rough circular pipe It is neither constant, and does not depend on pipe roughness.

As head loss varies directly with mean velocity so pressure drop also.

QUESTION: 5

The velocity profile in fully developed laminar flow in a pipe of diameter D is given by u = u_{0}(1 - 4r^{2}/D^{2}), where r is the radial distance from the center. If the viscosity of the fluid is μ, the pressure drop across a length L of the pipe is

Solution:

We Know that,

Pressure drop across a length L of pipe is

...(i)

QUESTION: 6

Laminar developed flow at an average velocity of 5 m/s occurs in a pipe of 10 cm radius. The velocity at 5 cm radius is

Solution:

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