Fluids Basics
Definition of Fluid:
A fluid is a substance that deforms
continuously under the application of a shear
(tangential) stress no matter how small the
shear stress may be.
Liquids and gases
Liquids and gases are very different
Liquids become les
Similarity Solutions:
Stokes and Rayleigh Problems
Similarity Solutions, contd
Consider a plane in an unbounded fluid that moves in its plane only
ME509: Fluid Mechanics
ME509: Fluid Mechanics
Similarity Solutions, contd
ME509: Fluid Mechanics
Similarity Solutions:
Stokes and Rayleigh Problems
Similarity Solutions, contd
Consider a plane in an unbounded fluid that moves in its plane only
ME509: Fluid Mechanics
ME509: Fluid Mechanics
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Similarity Solutions:
Stokes and Rayleigh Problems
Similarity Solutions, contd
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ME509: Fluid Mechanics
ME509: Fluid Mechanics
Similarity Solutions, contd
ME509: Fluid Mechanics
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Agenda
Basic Terminology
Steady:
Next few classes review of
undergrad fluids
Integral or control volume
approach
chapter 4 in Fox and McDonald
Incompressible:
Perfect fluid:
Todays lecture
Reynolds Transport Theorem
Integral approaches to governi
Conservation of Linear Momentum
COM Problem
inertial reference frame
ME509: Fluid Mechanics
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ME509: Fluid Mechanics
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Conservation of Linear Momentum
COLM Example 1-fixed CV
rectilinearly accelerating reference frame
ME509: Fluid Mechanics
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ME509: Fluid
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Navier-Stokes Solutions
Plane Couette Flow
Consider two infinite parallel plates, the top one
moving at fixed speed U in its own plane and the
bottom one fixed, separated by a distance 2h with
the gap between the two filled with a Newtonian
fluid of const
Navier-Stokes Solutions
Plane Couette Flow
Consider two infinite parallel plates, the top one
moving at fixed speed U in its own plane and the
bottom one fixed, separated by a distance 2h with
the gap between the two filled with a Newtonian
fluid of const
Rotating Cylinder Example
Concentric Cylinder Example
Navier-Stokes Solutions
Poiseuille (Pressure-Driven) Flows
Consider two infinite parallel plates, both fixed,
separated by a distance h with the gap between
the two filled with a Newtonian fluid of con
Navier-Stokes Solutions
Poiseuille (Pressure-Driven) Flows
Consider two infinite parallel plates, both fixed,
separated by a distance h with the gap between
the two filled with a Newtonian fluid of constant
properties.