Fluid Mechanics-61341

An-Najah National UniversityCollege of Engineering

Chapter [5]

Fluid Mechanics-2nd Semester 2010- [5] Flow of An Incompressible Fluid Dr. Sameer Shadeed1

Dr. Sameer Shadeed

Chapter [5]

Flow of An Incompressible Fluid

Euler’s Equation

Dr. Sameer Shadeed2 Fluid Mechanics-2nd Semester 2010- [5] Flow of An Incompressible Fluid

Euler’s Equation

Bernoulli’s Equation

Constanthead

Elevation

Velocity

Pressure

The Energy Line (EL) and the Hydraulic Grade Line (HGL)

Each term in the Bernoulli’s equation is a type ofhead

P/g = Pressure Head

V2/2gn = Velocity Head

Z = Elevation head

EL is the sum of these three heads

HGL is the sum of the elevation and the pressureheads

Fluid Mechanics-2nd Semester 2010- [5] Flow of An Incompressible Fluid7 Dr. Sameer Shadeed

V2/2gEL

Understanding the graphical approachof EL and HGL is key to understandingwhat forces are supplying the energy thatwater holds

Point 1: Majorityof energy stored inthe water is in thePressure Head

Point 2: Majorityof energy stored in

of energy stored inthe water is in theelevation head

If the tube wassymmetrical, thenthe velocity wouldbe constant, andthe HGL would belevel

Bernoulli’s Equation (Uniform Cross Section)

For uniform cross sections streamtubes, the velocity across the entire section is uniform as a result Bernoulli’sequation becomes:

Example 1

Example 1 (Solution)

Application of Bernoulli’s Equation

Torricelli’s theorem

Torricelli’s Theorem

An ideal fluid is one that isincompressible and has noresistance to shear stress. Idealfluids do non actually exist, butsometimes it is useful toconsider what happen to anideal fluid in a particular fluidflow problem in order to simplifythe problem

Taking the datum at the center of the nozzle andchoosing the center streamline give h = z + p/gg in thereservoir where velocities are negligible

Writing Bernoulli’s equation for a streamline between thereservoir and the tip of the nozzle shown as in Fig. 5.4

reservoir and the tip of the nozzle shown as in Fig. 5.4

0pifresultsequations'Torricelli,2

For freely falling body

Torricelli’s Theorem (Free Jets)

The velocity of a jet of water is clearly related to thedepth of water above the hole

The greater the depth, the higher the velocity

Example 2

Example 3

stagnation pointstagnation point

Stagnation Points On any body in a flowing fluid, there is a stagnationstagnation pointpoint. Somefluid flows over and some under the body. The dividing line (thestagnation streamline) terminates at the stagnation point.

The velocity decreases as the fluid approaches the stagnationpoint. The pressure at the stagnation point is the pressure obtainedwhen a flowing fluid is decelerated to zero speed

stagnation pointstagnation point

Example 4

Example 5

Determine the difference in pressure between points1 and 2. Hint: Point 1 is called a stagnation point,because the air particle along that streamline, when ithits the biker’s face, has a zero velocity

Assume a coordinate system fixed to the bike (from thissystem, the bike is stationary, and the world moves past it).Therefore, the air is moving at the speed of the bike. Thus, V2

= Velocity of the Biker

Apply Bernoulli’s equation from 1 to 2

Point 1 = Point 2

P1/gair + V12/2g + z1 = P2/gair + V2

2/2g + z2

Knowing the z1 = z2 and that V1= 0, we can simplify the equation

P1/gair = P2/gair + V22/2g

P1 – P2 = ( V22/2g ) gair

If the Biker is traveling at 5 m/s, what pressure does he feel

on his face if the gair = 12.01 N/m3 ?

We can assume P2 = 0, because it is only atmospheric pressurepressure

P1 = ( V22/2g )(gair)

P1 = ((5)2/(2(9.81)) x 12.01

P1 = 15.3 N/m2 (gage pressure)

If the biker’s face has a surface area of 300 cm2

He feels a force of 15.3 x 300x10-4 = 0.46 N

Example 6

Example 7

Example 8

The Work Energy Equation

Example 9

Example 10

Calculate the power output of this turbine

Example 11

Water is pumped from a large lake into an irrigationcanal of rectangular cross section 3 m wide, producing theflow situation shown in the figure. Calculate the requiredpump power assuming ideal flow.

Fluid Mechanics-61341

Documents

Transcript of Fluid Mechanics-61341

Fluid Mechanics Lab Equipment 1-Basic Fluid Mechanics ...

Petroleum Engineering Dept. Fluid Mechanics Second … · Fluid Mechanics ... * Fluid Mechanics V. L. Streeter * Fundamentals of Fluid Mechanics B. R Munson ... since the cubic dilatation

AP Physics 2 UNIT 1 – FLUID MECHANICS. Fluid Mechanics - Hydrostatics.

Fluid Mechanics-61341 - An-Najah Videos · 7 Fluid Mechanics-2nd Semester 2010- [7] ... no mixing, and the velocity ... Reynolds Experiment 8 Fluid Mechanics-2nd Semester 2010- [7]

Fluid Mechanics -2500 Solved Problems in Fluid Mechanics

Fluid Mechanics Fluid Properties - University of Jordaneacademic.ju.edu.jo/ymubarak/Material/Fluid Mechanics...Fluid Properties Fluid Mechanics Dr. Yousef Mubarak Content Fluid Properties:

FLUID MECHANICS - Royal Institute of Technologyluca/Smak/SG2214-Introduction_lecture_1… · Fluid Mechanics, SG2214 Fluid Mechanics Fluid Engineers basic tools Experimental testing

Fluid Mechanics-61341 - An-Najah Videos · Fluid Mechanics-61341 An-Najah National University College of Engineering Chapter [2] 1 Fluid Mechanics-2nd Semester 2010- [2] Fluid Statics

Introduction to Fluid Mechanics Property of Fluid Mechanics

fluid static | fluid mechanics | GTU

FLUID MECHANICS - thegateacademy.comthegateacademy.com/files/wppdf/Fluid-Mechanics.pdf · Syllabus for Fluid Mechanics . Fluid Properties; Fluid Statics, Manometry, Buoyancy, Forces

Engineering mechanics powerpoint fluid mechanics

Fluid Engineering Mechanics - جامعة نزوى · Fluid Engineering Mechanics . Fluid Engineering Mechanics Course ... Jack P. Fundamentals of Fluid Mechanics, McGraw-Hill Inc.

Fluid Mechanics

Fluid Mechanics & Fluid Machines

C43 Fluid Mechanics - Fluid Machinery

MECHANICAL FLUID MECHANICS - · PDF filemechanical fluid mechanics

Nptel.ac.in Aeronautical Fluid Mechanics Done Course Fluid Mechanics

Fluid Mechanics-61341 - An-Najah Videosvideos.najah.edu/sites/default/files/Chp-6.pdfdirection of the fluid passing through the control volume Total force exerted on the fluid in a

Fluid Mechanics FE Review Fluid Mechanics FE Review