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ME 522 References and Review Material, Study notes of Fluid Mechanics

Background and review material for ME 522 course at Penn State University. It includes brief learning modules on dimensions, units, significant digits, solutions of ordinary differential equations, complex variables, Runge-Kutta marching technique, cross-integration of a function of two variables, and an equation sheet from ME 521. Additionally, it lists required and recommended textbooks for the course, including general fluid mechanics texts, boundary layer texts, stability texts, and turbulence texts.

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ME 522 References and Review Material
John M. Cimbala, Penn State University. Latest update: 20 December 2018
Background and Review Material - This is general information that the student is expected to know.
This material will not be covered in class. Brief learning modules are provided at the following links for
your review.
Dimensions, Units, and Significant Digits - A general review of dimensions and units, and the
different unit systems (English vs. Metric). Also a discussion about the importance of significant
digits.
Solutions of Ordinary Differential Equations - A general review of how to solve simple ordinary
differential equations.
Review of Complex Variables - A general review of complex variables, along with some
definitions.
Runge-Kutta Marching Technique – Explanation of how the popular fourth-order Runge-Kutta
marching technique works, along with the appropriate equations.
Cross-Integration of a Function of Two Variables – How to integrate when you have a function
of two variables (partial integration) instead of only one variable (total integration). A video is
also available on YouTube at https://www.youtube.com/watch?v=sdrSsMkm9VM .
Equation sheet from ME 521, Fall 2017 – for quick reference to many useful equations.
M E 521 and 522 Engineering Library Reserve List
Fall Semester 2018 and Spring Semester 2019
Call number
Year
Author(s)
Title
QA901.K86
2016
P. K. Kundu, I. M. Cohen, and
D. R. Dowling
Fluid Mechanics, 6th edition (5th and 4th editions are
also acceptable)
General fluid mechanics texts: [later versions may be available; these are the ones I own]
QA911.B33
1967
George K. Batchelor
An Introduction to Fluid Dynamics
TA357.V35
1982
Milton D. Van Dyke
An Album of Fluid Motion
QC145.2
1987
L. D. Landau and E. M.
Lifshitz
Fluid Mechanics, 2nd edition
TA357.S453
1990
F. S. Sherman
Viscous Flow
QA929.W48
1991
Frank M. White
Viscous Fluid Flow, 2nd edition
QA901.C8
1993
I. G. Currie
Fundamental Mechanics of Fluids
TA357.P29
2013
Ronald L. Panton
Incompressible Flow, 4th edition
Boundary layer texts: [later versions may be available; these are the ones I own]
TL574.B6S283
1979
Schlichting, Herman
Boundary-Layer Theory, 7th edition
TA357.5.T87S34
2011
Schetz, Joseph A.
Boundary Layer Analysis, 2nd edition
Stability texts: [later versions may be available; these are the ones I own]
QC151.C4
1961
Subrahmanyan Chandrasekhar
Hydrodynamic and Hydromagnetic Stability
QA911.D72
2004
P. G. Drazin and W. H. Reid
Hydrodynamic Stability, 2nd edition
There is a second page
Turbulence texts: [later versions may be available; these are the ones I own]
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ME 522 References and Review Material

John M. Cimbala, Penn State University. Latest update: 20 December 2018

Background and Review Material - This is general information that the student is expected to know.

This material will not be covered in class. Brief learning modules are provided at the following links for

your review.

• Dimensions, Units, and Significant Digits - A general review of dimensions and units, and the

different unit systems (English vs. Metric). Also a discussion about the importance of significant

digits.

• Solutions of Ordinary Differential Equations - A general review of how to solve simple ordinary

differential equations.

• Review of Complex Variables - A general review of complex variables, along with some

definitions.

• Runge-Kutta Marching Technique – Explanation of how the popular fourth-order Runge-Kutta

marching technique works, along with the appropriate equations.

• Cross-Integration of a Function of Two Variables – How to integrate when you have a function

of two variables (partial integration) instead of only one variable (total integration). A video is

also available on YouTube at https://www.youtube.com/watch?v=sdrSsMkm9VM.

• Equation sheet from ME 521, Fall 2017 – for quick reference to many useful equations.

M E 521 and 522 Engineering Library Reserve List

Fall Semester 2018 and Spring Semester 2019

Call number Year Author(s) Title

Required Textbook:

QA901.K86 2016 P. K. Kundu, I. M. Cohen, and D. R. Dowling

Fluid Mechanics, 6 th^ edition (5 th^ and 4 th^ editions are also acceptable)

General fluid mechanics texts: [ later versions may be available; these are the ones I own ]

QA911.B33 1967 George K. Batchelor An Introduction to Fluid Dynamics TA357.V35 1982 Milton D. Van Dyke An Album of Fluid Motion QC145.2 1987 L. D. Landau and E. M. Lifshitz

Fluid Mechanics, 2nd^ edition

TA357.S453 1990 F. S. Sherman Viscous Flow QA929.W48 1991 Frank M. White Viscous Fluid Flow, 2nd^ edition QA901.C8 1993 I. G. Currie Fundamental Mechanics of Fluids TA357.P29 2013 Ronald L. Panton Incompressible Flow, 4 th^ edition

Boundary layer texts: [ later versions may be available; these are the ones I own ]

TL574.B6S283 1979 Schlichting, Herman Boundary-Layer Theory, 7th^ edition TA357.5.T87S34 2011 Schetz, Joseph A. Boundary Layer Analysis, 2nd^ edition

Stability texts: [ later versions may be available; these are the ones I own ]

QC151.C4 1961 Subrahmanyan Chandrasekhar Hydrodynamic and Hydromagnetic Stability QA911.D72 2004 P. G. Drazin and W. H. Reid Hydrodynamic Stability, 2nd^ edition

There is a second page →

Turbulence texts: [ later versions may be available; these are the ones I own ]

TL574.T8B3 1953 George K. Batchelor The Theory of Homogeneous Turbulence QA911.M6313 1971 - 75 A. S. Monin and A. M. Yaglom

Statistical Fluid Mechanics, Mechanics of Turbulence

QA913.T44 1972 H. Tennekes and J. L. Lumley A First Course in Turbulence QA913.H5 1975 J. O. Hinze Turbulence

TA357.5.T87 W542 2006 David C. Wilcox Turbulence Modeling for CFD, 3rd^ edition

Mathematics texts: [ later versions may be available; these are the ones I own ]

QA911.A69 1962 R. Aris Vectors, Tensors, and the Basic Equations of Fluid Mechanics

QA221.N38 1973 A. Nayfeh Perturbation Methods QA303.H55 1976 F. B. Hildebrand Advanced Calculus for Applications

QA401.K7 E. Kreyszig Advanced Engineering Mathematics, 10th^ edition QA331.C524 1996 R. V. Churchill, et al. Complex Variables and Their Applications

QA433.S28 2005 H. M. Schey Div., Grad., Curl, and all that: An Informal Text on Vector Calculus, 4th^ edition