57:020 Fluid Mechanics
Professor Fred Stern Fall 2013
Chapter 4
1
Chapter 4: Fluids Kinematics
4.1 Velocity and Description Methods
Primary dependent variable is fluid velocity vector
V = V ( r ); where r is the position vector
If V is known then pressure
57:020 Mechanics of Fluids and Transport Processes
Professor Fred Stern Fall 2013
Chapter 5
1
Chapter 5 Finite Control Volume Analysis
5.1 Continuity Equation
RTT can be used to obtain an integral relationship expressing
conservation of mass by defining t
57:020
Fluid Mechanics
Class Notes
Fall 2013
Prepared by:
Professor Fred Stern
Typed by: Stephanie Schrader (Fall 1999)
Corrected by: Jun Shao (Fall 2003, Fall 2005)
Corrected by: Jun Shao, Tao Xing (Fall 2006)
Corrected by: Hyunse Yoon (Fall 2007 Fall 20
57:020 Mechanics of Fluids and Transport Processes
Professor Fred Stern Fall 2013
Chapter 7
1
Chapter 7 Dimensional Analysis and Modeling
The Need for Dimensional Analysis
Dimensional analysis is a process of formulating fluid
mechanics problems in terms
57:020 Mechanics of Fluids and Transport Processes
Professor Fred Stern Fall 2013
Chapter 6
1
Chapter 6 Differential Analysis of Fluid Flow
Fluid Element Kinematics
Fluid element motion consists of translation, linear deformation, rotation, and angular de
57:020 Mechanics of Fluids and Transport Processes
Professor Fred Stern Fall 2013
Chapter 9
1
Chapter 9 Flow over Immersed Bodies
Fluid flows are broadly categorized:
1. Internal flows such as ducts/pipes, turbomachinery, open
channel/river, which are bou
IntroductiontoFluidMechanics*
Fred Stern, Tao Xing, Jun Shao, Surajeet Ghosh
8/26/2005
AFD
U =0
DU
1
=-p +
+
Dt
Re
2
U
EFD
CFD
ui u j
57:020 Fluid Mechanics
1
FluidMechanics
Fluidsessentialtolife
Humanbody65%water
Earthssurfaceis2/3water
Atmosphereex
57:020 Mechanics of Fluids and Transport Processes
Professor Fred Stern Fall 2013
Chapter 8
1
Chapter 8 Flow in Conduits
Entrance and developed flows
Le = f(D, V, , )
i theorem Le/D = f(Re)
Laminar flow: Recrit 2000, i.e., for Re < Recrit laminar
Re > Rec
57:020 Mechanics of Fluids and Transport Processes
Professor Fred Stern Fall 2013
Chapter 3
1
Chapter 3 Bernoulli Equation
3.1 Flow Patterns: Streamlines, Pathlines, Streaklines
1) A streamline ( ) is a line that is everywhere tangent to the velocity
vect
57:020 Fluid Mechanics
Professor Fred Stern Fall 2013
Chapter 2
1
Chapter 2: Pressure and Fluid Statics
Pressure
For a static fluid, the only stress is the normal stress since
by definition a fluid subjected to a shear stress must deform
and undergo motio