PPT on fully Mathematical Derivation of Viscous Flow as part of FLUID MECHANICS by M.M.RAFIK.
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Transcript of PPT on fully Mathematical Derivation of Viscous Flow as part of FLUID MECHANICS by M.M.RAFIK.
![Page 1: PPT on fully Mathematical Derivation of Viscous Flow as part of FLUID MECHANICS by M.M.RAFIK.](https://reader038.fdocuments.us/reader038/viewer/2022102604/55d054fdbb61ebb97b8b45f0/html5/thumbnails/1.jpg)
Subject Code : 130101
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Topic:
Viscous Flow
3rd semester
B.E. Mechanical
CCET, WADHWAN
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Flow of Viscous fluid between two Parallel Plate.
CCET, WADHWAN
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For Steady & Uniform Flow acceleration is Zero. Net Force F = mass X Acceleration = 0
CCET, WADHWAN
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Velocity Distribustion
Shear Stress
Put Value of shear stress in eq.
CCET, WADHWAN
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CCET, WADHWAN
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CCET, WADHWAN
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Ratio of Maximum Velocity to Avg. Velocity
Velocity Will be maximum at Y = t/2,
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Integrating from 0 to t
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Ratio of maximum Velocity to Avg. velocity
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Drop of Pressure Head for a given Length
Avg. Velocity is given by
Integrate With respect to X
CCET, WADHWAN
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CCET, WADHWAN
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Shear Stress Distribution
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Journal Bearing
A journal Bearing is a hollow cylindrical enclosing a solid shaft that rotates about its axis at radial speed.
The gap between bearing and shaft is filled by viscous oil and it will be consider at rest.
CCET, WADHWAN
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Consider a Shaft Diameter = D Length of shaft = L Clearance = t
CCET, WADHWAN
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Torque required to overcome viscous resistance
Power Absorbed
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Foot Step Bearing
When a vertical shaft is required to rotate inside a fixed bearing, the viscous oil is placed between the top of the bearing and bottom of the shaft.
R = Radius of shaft N = Speed of the shaft X= Clearance between
Bearing shaft
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CCET, WADHWAN
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CCET, WADHWAN
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Power absorbed to overcoming the shear resistance
CCET, WADHWAN
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Movement of Piston in Dashpot
Dashpot is a device used for damping vibration of machine by using high viscous fluid.
It consist of a piston which moves in a cylinder. Diameter of cylinder is slightly greater the piston. Piston is connected to the machine element whose
movement is to be restrained. Consider a piston moving in a vertical dashpot
containing oil as shown in fig.
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CCET, WADHWAN
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The oil flow through the clearance behaves as laminar flow between parallel plates.
Pressure difference for parallel plate is given by
CCET, WADHWAN
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Eq. Shows that piston velocity is directly proportional to load acting on the piston.
CCET, WADHWAN
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Methods of Measurement of Viscosity
The device use for measurement of viscosity are known as Viscometer.
Various Methods for Measurement of Viscosity
I. Capillary tube Method
II. Rotating cylinder Method
III. Falling Sphere Method
IV. Orifice tube Viscometer
CCET, WADHWAN
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Capillary tube Method
This method use Hagen- Poiseuille eq. for laminar flow through circular pipe.
A tank in which the liquid is filled whose viscosity is to be determined.
CCET, WADHWAN
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CCET, WADHWAN
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CCET, WADHWAN
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Rotating Cylinder Method
Rotating Cylinder Method of measuring viscosity is based on Newton’s law of Viscosity.
CCET, WADHWAN
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CCET, WADHWAN
Which is final equation.
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Thank you….