ME509 Quiz #1
Name:_
Instructions:
This quiz is to be done independently in the classroom during the normal class period. No
books, notes, or other external materials are to be used in preparing your answers. You
will be given an equation sheet to help yo
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.
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
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
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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
ME 509, Spring 2016, Midterm Exam, Solutions
03/01/2016
DONT BEGIN UNTIL YOURE TOLD TO!
Instructions:
This exam is to be done independently in 75 minutes.
You may use 1 piece of letter-sized (8.5 11) paper with whatever you want on it
(back and front, t
Question 2:
- fluid viscosity
- gap size a
- linear velocity profile in the annulus
U -0
Shear stress at the inner cylinder: w = gapinsize =
Uin
a
Tangential velocity: =
m
Vm
r
=
Uin
R
R
Uin = r Vm
Uin
r
R
Based on the above relation: w =
Viscous forc
= + 2
Plug in values for a and b
= 2 6 2
Values with in the i direction are u or the x direction velocity and j values are the y direction velocity v.
= 2
= 6 2
Velocity field is in effected by both its x and y coordinate as such the flow field is 2
ME509 Homework 2
Due Thu, Sep 21 at 11:59pm EDT (Purdue time)
1. Consider the flow between two infinite parallel plates using the differential form of
conservation of mass. A perfect fluid (i.e. incompressible and inviscid) is contained
between the two pa
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
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
1
ME509: Fluid Mechanics
2
Conservation of Linear Momentum
COLM Example 1-fixed CV
rectilinearly accelerating reference frame
ME509: Fluid Mechanics
3
ME509: Fluid