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If a_{1} and a_{2} are the crosssectional 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
If the coefficient of velocity of flow through a orifice is c_{v} and coefficient of resistance is c_{r}, then
If C_{v}, C_{c}, D_{d }and C_{r} are the hydraulic coefficients of an orifice, then
The momentum correction factor for triangular velocity distribution for flow between parallel plates as shown in the figure is
Triangular velocity distribution is achieved for Couette flow.
Average velocity,V_{av} = V/2
Momentum correction factor
Energy correction factor,
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
Momentum correction factor,
Match ListI with ListI and select the correct answer using the codes given below the lists:
ListI
A. Moment of momentum equation
B. Bernoulli’s equation
C. Euler’s equation
D. HagenPoiseuille equation
ListII
1. Equation to find energy loss in a pipeline
2. Equation of motion for onedimensional steady flow of ideal and incompressible fluid
3. Equation based on conservation of momentum principle applicable to circulatory flows
4. Threedimensional equation ofmotion based on Principle of conservation of momentum for ideal and incompressible fluid flow
Bernoulli's equation is derived from equation of motion for onedimensional steady flow of ideal and incompressible fluid. \
If velocity is zero over 1/3rd of a crosssection and is uniform over remaining 2/3rd of the crosssection, then the correction factor for kinetic energy is
∴ v = 3/2 v
∴ Kinetic energy correction factor
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
Using Bernoulli’s equation,
The kinetic energy correction factor is
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