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QUESTION: 1

If a_{1} and a_{2} are the cross-sectional areas of a tank and orifice, h the height of water level intank above the centre of the orifice, the velocity of approach is given by

Solution:

QUESTION: 2

If the coefficient of velocity of flow through a orifice is c_{v} and coefficient of resistance is c_{r}, then

Solution:

QUESTION: 3

If C_{v}, C_{c}, D_{d }and C_{r} are the hydraulic coefficients of an orifice, then

Solution:

QUESTION: 4

The momentum correction factor for triangular velocity distribution for flow between parallel plates as shown in the figure is

Solution:

Triangular velocity distribution is achieved for Couette flow.

Average velocity,V_{av} = V/2

Momentum correction factor

Energy correction factor,

QUESTION: 5

If the velocity is zero over half of the cross- sectionai area and is uniform over the remaining half, then the momentum correction factor is

Solution:

Momentum correction factor,

QUESTION: 6

Match List-I with List-I and select the correct answer using the codes given below the lists:

List-I

A. Moment of momentum equation

B. Bernoulli’s equation

C. Euler’s equation

D. Hagen-Poiseuille equation

List-II

1. Equation to find energy loss in a pipeline

2. Equation of motion for one-dimensional steady flow of ideal and incompressible fluid

3. Equation based on conservation of momentum principle applicable to circulatory flows

4. Three-dimensional equation ofmotion based on Principle of conservation of momentum for ideal and incompressible fluid flow

Solution:

Bernoulli's equation is derived from equation of motion for one-dimensional steady flow of ideal and incompressible fluid. \

QUESTION: 7

If velocity is zero over 1/3rd of a cross-section and is uniform over remaining 2/3rd of the cross-section, then the correction factor for kinetic energy is

Solution:

∴ v = 3/2 v

∴ Kinetic energy correction factor

QUESTION: 8

A jet of water issue from a 5cm diameter nozzle, held vertically upwards, at a velocity of 20 m/sec. If air resistance consumes 10% of the initial energy of the jet, then it would reach a height, above the nozzle, of

Solution:

Using Bernoulli’s equation,

QUESTION: 9

The kinetic energy correction factor is

Solution:

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