Lecture 03
Fluid Mechanics (ENGR 2860U)
Fluid Statics Part 1
Instructor: Dr. Ahmad Barari Winter 2009
Wint2009- ENGR 2860U
1
Pressure at a Point First question: How the pressure at a point varies with the orientation of the plane passing through the point
Lecture 18
Fluid Mechanics (ENGR 2860U)
Dimensional Analysis
Instructor: Dr. Ahmad Barari Dr Winter 2009
Wint2009- ENGR 2860U
1
Experimentation in fluid mechanics Although many practical engineering problems involving fluid mechanics can be solved by usin
Lecture 19
Fluid Mechanics (ENGR 2860U)
Viscous Flow in Pipes
Instructor: Dr. Ahmad Barari Dr Winter 2009
Wint2009- ENGR 2860U
1
Typical Pipe System Some of the basic components of a typical pipe system include the pipes themselves (perhaps of more than o
Lecture 20
Fluid Mechanics (ENGR 2860U)
Flow Over Immersed Bodies
Instructor: Dr. Ahmad Barari Dr Winter 2009
Wint2009- ENGR 2860U
1
Overview When an object is completely surrounded by the fluid, the flows are termed external flows.
External flows involvi
Lecture 02
Fluid Mechanics (ENGR 2860U)
Introduction to Fluid Mechanics
Instructor: Dr. Ahmad Barari Winter 2009
Wint2009- ENGR 2860U
1
Overview Outline Application Areas of Fluid Mechanics Some Characteristics of Fluids Continuum Hypothesis Dimensions, D
Lecture 05
Fluid Mechanics (ENGR 2860U)
Fluid Statics Part 3
Instructor: Dr. Ahmad Barari Dr Winter 2009
Wint2009- ENGR 2860U
1
Pressure Variation in a Fluid with Rigid-Body Motion The general equation of motion:
Specific results for rigid-body uniform mo
Lecture 06
Fluid Mechanics (ENGR 2860U)
Elementary Fluid Dynamics Part 1
Instructor: Dr. Ahmad Barari Winter 2009
Wint2009- ENGR 2860U
1
Newton's Second Law As a fluid particle moves from one location to another, it usually experiences an acceleration or
Lecture 07
Fluid Mechanics (ENGR 2860U)
Elementary Fluid Dynamics Part 2
Instructor: Dr. Ahmad Barari Dr Winter 2009
Wint2009- ENGR 2860U
1
Example of Bernoulli Equation Consider the flow of air around a bicyclist moving through air with velocity V0. Dete
Lecture 08
Fluid Mechanics (ENGR 2860U)
Elementary Fluid Dynamics Part 3
Instructor: Dr. Ahmad Barari Dr Winter 2009
Wint2009- ENGR 2860U
1
Examples of Use of the Bernoulli Equation Free Jet
A jet of liquid of diameter d flows from the nozzle with velocit
Lecture 17
Fluid Mechanics (ENGR 2860U)
Differential Analysis of Fluid II
Instructor: Dr. Ahmad Barari Dr Winter 2009
Wint2009- ENGR 2860U
1
Some Simple Solutions for Viscous, Incompressible Fluids A principal difficulty in solving the NavierStokes equati
Lecture 16
Fluid Mechanics (ENGR 2860U)
Differential Analysis of Fluid
Instructor: Dr. Ahmad Barari Dr Winter 2009
Wint2009- ENGR 2860U
1
Detailed Knowledge of a Flow Field In the previous lectures we focused on the use of finite control volumes for the s
Lecture 04
Fluid Mechanics (ENGR 2860U)
Fluid Statics Part 2
Instructor: Dr. Ahmad Barari Winter 2009
Wint2009- ENGR 2860U
1
Hydrostatic Force on a Plane Surface When a surface is submerged in a fluid, forces develop on the surface due to the fluid.
Resul
Lecture 9
Fluid Mechanics (ENGR 2860U)
Fluid Kinematics (I)
Instructor: Dr. Ahmad Barari Dr Winter 2009
Wint2009- ENGR 2860U
1
The Velocity Field Eulerian Description of Fluid Kinematics: The continuum hypothesis considers fluids to be made up of fluid pa
Lecture 10
Fluid Mechanics (ENGR 2860U)
Fluid Kinematics (II)
Instructor: Dr. Ahmad Barari Dr Winter 2009
Wint2009- ENGR 2860U
1
Control Volume A system is a collection of matter of fixed identity (always the same atoms or fluid particles), which may move
Lecture 11
Fluid Mechanics (ENGR 2860U)
Finite Control Volume (I)
Instructor: Dr. Ahmad Barari Dr Winter 2009
Wint2009- ENGR 2860U
1
Conservation of Mass The amount of mass in a system is constant.
Wint2009- ENGR 2860U
2
Conservation of Mass
Wint2009- ENG
Lecture 12
Fluid Mechanics (ENGR 2860U)
Finite Control Volume (II)
Instructor: Dr. Ahmad Barari Dr Winter 2009
Wint2009- ENGR 2860U
1
Review Steady flow: the time rate of change of the mass of the contents of the control volume is zero Therefore, Therefor
Lecture 13
Fluid Mechanics (ENGR 2860U)
Finite Control Volume (III)
Instructor: Dr. Ahmad Barari Dr Winter 2009
Wint2009- ENGR 2860U
1
Newton's Second Law-The Linear Momentum Newton's second law deals with system momentum and forces. Newton's second law o
Lecture 14
Fluid Mechanics (ENGR 2860U)
Finite Control Volume (IV)
Instructor: Dr. Ahmad Barari Dr Winter 2009
Wint2009- ENGR 2860U
1
Example-The Linear Momentum A horizontal jet of water exits a nozzle with a uniform speed of V1 = 10 ft/s, strikes a vane
Lecture 15
Fluid Mechanics (ENGR 2860U)
Review
Instructor: Dr. Ahmad Barari Dr Winter 2009
Wint2009- ENGR 2860U
1
Example-Fluid Statics A homogeneous, 5-ft-wide, 6-ft-long rectangular gate weighing 800 lb is held in place by flexible cable as shown in the