Fluid Mechanics II Examl
Name: Score
1 A particle moves along the horizontal centerline of a converging channel. The velocity at the
centerline of the channel is given by 17 = V1(1 +f)t, where VI an
Practice Problems on Fluid Statics
manometry_01
Compartments A and B of the tank shown in the figure below are closed and filled with air and a liquid with a
specific gravity equal to 0.6. If atmosphe
Practice Problems on the Navier-Stokes Equations
ns_02
A viscous, incompressible, Newtonian liquid flows in steady, laminar, planar flow down a vertical wall. The
thickness, , of the liquid film remai
Practice Problems on the Linear Momentum Equations
COLM_01
A frequently used hydraulic brake consists of a movable ram that displaces water from a slightly larger cylinder, as
shown in the figure. The
Chapter 6
SOLUTION OF VISCOUS-FLOW PROBLEMS
6.1 Introduction
T
HE previous chapter contained derivations of the relationships for the conservation of mass and momentumthe equations of motion in rectan
Practice Problems on Conservation of Mass
COM_01
Construct from first principles an equation for the conservation of mass governing the planar flow (in the xy plane)
of a compressible liquid lying on
Practice Problems on Pipe Flows
pipe_02
A homeowner plans to pump water from a stream in their backyard to water their lawn. A schematic of the pipe
system is shown in the figure.
sprinkler
inlet pipe
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
COM Problem
8/31/2006
ME509: Fluid Mechanics
1
Conservation of Linear Momentum
inertial reference frame
8/31/2006
ME509: Fluid Mechanics
2
Conservation of Linear Momentum
rectilinearly accelerating re
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
Rey
Notes on Fluid Mechanics and Gas Dynamics
Carl Wassgren, Ph.D.
School of Mechanical Engineering
Purdue University
[email protected]
16 Aug 2010
Chapter 01:
Chapter 02:
Chapter 03:
Chapter 04:
Chapte
Home > Notes > Equations > Substantial Derivative of scalar field - also known as Total derivative @Wolfram
D = + V Dt t
In rectangular coordinates D = +u +v +w Dt t x y z where V is the fluid velocit
Appendix A
VECTORS, TENSORS AND
MATRIX NOTATION
The objective of this section is to review some of the vector operations that you have already covered
in your MATH and ENGR courses. For more details a
Ch. IV Differential Relations for a Fluid Particle
This chapter presents the development and application of the basic differential
equations of fluid motion. Simplifications in the general equations a
CHAPTER 3
FLOW PAST A SPHERE II: STOKES LAW, THE
BERNOULLI EQUATION, TURBULENCE, BOUNDARY
LAYERS, FLOW SEPARATION
INTRODUCTION
1 So far we have been able to cover a lot of ground with a minimum of
mat
1. In fluid mechanics, it is the ratio of the area of the vena contracta to the area of the smaller pipe.
Answer: A. Contraction coefficient
2. When the Reynolds number of a fluid flow is 3500, the fl
172
Chapter 3 Integral Relations for a Control Volume
EXAMPLE 3.19
A hydroelectric power plant (Fig. E3.19) takes in 30 m3/s of water through its turbine and discharges it to the atmosphere at V2 2 m/
Fluid Dynamics IB
Dr Natalia Berlo
1.3 Material derivative
Consider a eld F (x, t).
Rate of change with time seen by an observer moving with uid, DF , is found by using
Dt
the chain rule for dierentia