CHAPTER 3.
COLLAPSING BUBBLE INDUCED PUMPING IN VISCOUS
FLUIDS
3.3.9 Dimensional analysis approach to characterize pumping ecacy
In the previous subsections, the reasons for failure of pumping were identied as an
increase in non-dimensional distance
H0
or

ID2030 Fluid Mechanics and Rate
Processes
Lecturer : K. Badarinath
Lecture 11
4/9/2014
Lecture 11 - Overview
Control volume analysis
Energy equation
Linear momentum equation
Angular momentum equation
2
A note on the use of and
You would have noticed

ID2030 Fluid Mechanics and Rate
Processes
Lecturer : K. Badarinath
Lecture 26
11/11/2014
Overview
Lift forces acting on a body
Lift on airfoils
Lift on spinning bodies (Magnus effect)
Heat Transfer Introduction
2
Lift
For bodies like airplanes, we ar

ID2030 Fluid Mechanics and Rate
Processes
Lecturer : K. Badarinath
Lecture 5
20/8/2014
Lecture 5 - Overview
Buoyancy and stability (Fluid statics)
2
Review - Example
A dam has a parabolic
1
= 0.304
shape =
as shown
with
0 = 10 ft and 0 = 24 ft.
The fluid

ID2030 Fluid Mechanics and Rate
Processes
Lecturer : K. Badarinath
Lecture 24
30/10/2014
Irrotational flow region
Principle of superposition A complex flow as a sum
of elementary building block flows
Building blocks
1. Uniform stream
2. Line source or L

ID2030 Fluid Mechanics and Rate
Processes
Lecturer : K. Badarinath
Lecture 27
12/11/2014
Heat transfer
2
Convection
Convection heat transfer is comprised of two mechanisms
superimposed on each other
Energy transfer due to random molecular motion
(diffus

ID2030 Fluid Mechanics and Rate
Processes
Lecturer : K. Badarinath
Lecture 16
7/10/2014
Internal flows - Overview
General description of flow through pipes
Entrance region
Fully developed region
Reynolds number and its significance
Pressure drop corr

ID2030 Fluid Mechanics and Rate
Processes
Lecturer : K. Badarinath
Lecture 15
18/9/2014
Internal flows - Overview
General description of flow through pipes
Entrance region
Fully developed region
Reynolds number and its significance
Pressure drop corr

ID2030 Fluid Mechanics and Rate
Processes
Lecturer : K. Badarinath
Lecture 22-23
28/10/2014 and 29/10 2014
Navier-Stokes equations
Approximate solutions (models)
Creeping flow approximation
Approximation for inviscid region of flow (Eulers
equation)
I

ID2030 Fluid Mechanics and Rate
Processes
Lecturer : K. Badarinath
Lectures 18-20
14/10/2014 16/10/2014
Example 1 on Pipe flow
Water at 20C is to be pumped from a reservoir = 5
to another reservoir at a higher elevation = 13
through two 36-m-long pipes

ID2030 Fluid Mechanics and Rate
Processes
Lecturer : K. Badarinath
Lecture 17
9/10/2014
Internal flows - Overview
General description of flow through pipes
Entrance region
Fully developed region
Reynolds number and its significance
Pressure drop corr

ID2030 Fluid Mechanics and Rate
Processes
Lecturer : K. Badarinath
Lecture 10
1/9/2014
Lecture 10 - Overview
Control volume analysis
Pumps and turbines
Bernoulli equation
Conservation of energy
2
Example (Correction)
Point 2
From Point 1 to 2, we have

ID2030 Fluid Mechanics and Rate
Processes
Lecturer : K. Badarinath
Lecture 12
9/9/2014
Lecture 12 - Overview
Control volume analysis
Linear momentum equation
Angular momentum equation
2
Note on Tutorial 4 Prob 5.24
3
Linear momentum relation
control v

ID2030 Fluid Mechanics and Rate
Processes
Lecturer : K. Badarinath
Lecture 25
8/11/2014
External Flows : Drag and Lift
2
Overview
Concepts of drag, lift, pressure drag, friction drag and flow
separation.
Drag coefficients of different 2-D and 3-D geomet

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