UTP - Fluid Mechanics Course - September 2012 Semester - Chap 3 Bernoulli Equations
Fluid Mechanics SEMESTER II, 2010/2011
-
Upload
willis-sims -
Category
Documents
-
view
221 -
download
1
description
Transcript of Fluid Mechanics SEMESTER II, 2010/2011
![Page 1: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/1.jpg)
Fluid MechanicsSEMESTER II, 2010/2011
CHAPTER 1INTRODUCTION
![Page 2: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/2.jpg)
At the end of this chapter, you should be able to:
1. Understand the basic concepts of fluid mechanics and recognize the various type of fluid flow problems encountered in practice.
OBJECTIVES
![Page 3: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/3.jpg)
The science that deals with the behavior of fluids at rest (fluid statics) or in motion (fluid dynamics), and the interaction of fluids with solids or other fluids at the boundaries.
It is divided into several categories: Examples: hydrodynamics, hydraulics, Gas
dynamics, aerodynamics etc.
What is fluid mechanics?
![Page 4: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/4.jpg)
Hydrodynamics: The study of the motion of fluids that can be approximated as incompressible (such as liquids, especially water, and gases at low speeds).
Hydraulics: A subcategory of hydrodynamics, which deals with liquid flows in pipes and open channels.
Gas dynamics: Deals with the flow of fluids that undergo significant density changes, such as the flow of gases through nozzles at high speeds.
Aerodynamics: Deals with the flow of gases (especially air) over bodies such as aircraft, rockets, and automobiles at high or low speeds.
Meteorology, oceanography, and hydrology: Deal with naturally occurring flows.
![Page 5: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/5.jpg)
A substance in the liquid or gas phase is referred as FLUID
In fluids, stress is proportional to strain rate. Stress=force per unit area.
What is FLUID?
F Fn
Ft
Normal to surface
Force acting on area dA
Tangent to surface dA
Normal stress, σ = Fn/dA(in fluid at rest, it is called pressure)
Shear stress, τ = Ft/dA(for fluid at rest=0)
![Page 6: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/6.jpg)
Examples: Natural flows & weather Aircraft & spacecraft Boats Human body Piping & plumbing systems Wind turbines and many more…..
Application areas of Fluid mechanics
![Page 7: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/7.jpg)
57:020 Fluid Mechanics 7
Weather & ClimateTornadoes
HurricanesGlobal Climate
Thunderstorm
![Page 8: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/8.jpg)
57:020 Fluid Mechanics 8
VehiclesAircraft
SubmarinesHigh-speed rail
Surface ships
![Page 9: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/9.jpg)
57:020 Fluid Mechanics 9
EnvironmentAir pollution River hydraulics
![Page 10: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/10.jpg)
57:020 Fluid Mechanics 10
Physiology and MedicineBlood pump Ventricular assist device
![Page 11: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/11.jpg)
57:020 Fluid Mechanics 11
Sports & Recreation
Water sports
Auto racing
Offshore racingCycling
Surfing
![Page 12: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/12.jpg)
A fluid in motion comes to a complete stop at the surface and assumes a zero velocity relatives to the surface.
Fluid in direct contact with solid “sticks” to the surface due to viscous effect, and there is no slip.
NO-SLIP CONDITION
Uniform approach velocity, V
Relative velocities of fluid layers
Zero velocity at the surface
Plate
![Page 13: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/13.jpg)
13
THE NO-SLIP CONDITION
The development of a velocity profile due to the no-slip condition as a fluid flows over a blunt nose.
A fluid flowing over a stationary surface comes to a complete stop at the surface because of the no-slip condition.
Flow separation during flow over a curved surface.
Boundary layer: The flow region adjacent to the wall in which the viscous effects (and thus the velocity gradients) are significant.
![Page 14: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/14.jpg)
A. Viscous vs inviscid regions of flow Viscosity -a measure of internal stickiness of fluid Viscous flow region–significant frictional effect Inviscid flow region – negligible viscous forces
Classification Of Fluid Flows
The flow of an originally uniform fluid stream over a flat plate, andthe regions of viscous flow (next to the plate on both sides) and inviscid flow (away from the plate).
![Page 15: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/15.jpg)
B. Internal vs external flow
C. Compressible vs incompressible Incompressible flow – almost constant density
throughout - fluid Compressible flow - gas
D. Laminar vs turbulent flow Determined by Reynolds number, Re Re < 2000 (laminar); Re > 6000 (turbulent);
between laminar and turbulent is transitional
Classification Of Fluid Flows
![Page 16: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/16.jpg)
E. Natural (or unforced) vs forced flow
F. Steady vs unsteady flow Steady = no change at a point of time Transient = typically used for developing
flows,( e.g. pressure build up inside rocket engine, until it operates steadily)
![Page 17: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/17.jpg)
17
SYSTEM AND CONTROL VOLUME System: A quantity of matter or a
region in space chosen for study. Surroundings: The mass or region
outside the system Boundary: The real or imaginary
surface that separates the system from its surroundings.
The boundary of a system can be fixed or movable.
Systems may be considered to be closed or open.
• Closed system (Control mass): A fixed amount of mass, and no mass can cross its boundary.
![Page 18: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/18.jpg)
18
Open system (control volume): A properly selected region in space.
It usually encloses a device that involves mass flow such as a compressor, turbine, or nozzle.
Both mass and energy can cross the boundary of a control volume.
Control surface: The boundaries of a control volume. It can be real or imaginary.
An open system (a control volume) with one inlet and one exit.
![Page 19: Fluid Mechanics SEMESTER II, 2010/2011](https://reader033.fdocuments.in/reader033/viewer/2022051301/5a4d1ad17f8b9ab05997177f/html5/thumbnails/19.jpg)
SUMMARY?