Fluid Mechanics as per AKTU

1. Department of Mechanical Engineering
Jahangirabad Institute of Technology, Barabanki-225203
Course- B. Tech
Branch- Mechanical Engineering
Subject- Fluid Mechanics
Subject Code-NCE-301
Author
Mr Md Ateeque Khan
Asst. Professor
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2. Euler’s Equation of motion along a streamline and its
integration
The Euler's equation for steady flow of an ideal fluid along a streamline is a relation between the velocity, pressure
and density of a moving fluid. It is based on the Newton's Second Law of Motion. The integration of the equation
gives Bernoulli's equation in the form of energy per unit weight of the following fluid.
•It is based on the following assumptions: The fluid is non-viscous (i,e., the frictional losses are zero).
•The fluid is homogeneous and incompressible (i.e., mass density of the fluid is constant).
•The flow is continuous, steady and along the streamline.
•The velocity of the flow is uniform over the section.
•No energy or force (except gravity and pressure forces) is involved in the flow.
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3. FBD for Euler Equation
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4. Bernoulli’s equation and its applications-Pitot tube
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5. Pitot Tube Equation
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6. Venturi Meter
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7. Venturimeter cont….
A A
2
gh
0 1
Q = Cd A 2 − A2
1 0
The coefficient of discharge of the orifice meter is much smaller
than that of a venturimeter
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8. Orifice meter
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9. Discharge Equation for Orifiemeter
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10. Geometrical Similarities
Geometric similarity exists between model and prototype if the ratio of all corresponding dimensions
in the model and prototype are equal:
where lL is the scale factor for length
For area:
All corresponding angles are the same. 6/10/2017MAK(ME) 10

11. Kinematic similarity
Kinematic similarity is the similarity of time as well as geometry. It exists between model and
prototype
1. If the paths of moving particles are geometrically similar
2. If the rations of the velocities of particles are similar
Some useful ratios are:
Velocity Similarities
Acceleration Similarities
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12. Dynamic similarity
Dynamic similarity exists between geometrically and kinematically similar systems if the ratios of all
forces in the model and prototype are the same.
Force similarities:
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13. Distorted Undistorted models
Undistorted models: are those models which are geometrically similar to
their prototype. In other words the scale ratio for the linear d
imensions of the model and its prototype are the same.
•Distorted models: are those models which are geometrically not similar to
its prototype. In other words the scale ratio for the linear dimensions of the
model and its prototype are not same.
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