The Mathematics of Diffusion [Paperback]

John Crank (Author)

Book Description

ISBN-10: 0198534116 | ISBN-13: 978-0198534112 | Publication Date: March 13, 1980 | Edition: 2

Though it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained.

Editorial Reviews

Review

`... will undoubtedly become an indispensable reference source for all who are concerned with diffusion problems.' Nature.

About the Author

John Crank is at Brunel University.

Product Details

• Paperback: 424 pages
• Publisher: Oxford University Press, USA; 2 edition (March 13, 1980)
• Language: English
• ISBN-10: 0198534116
• ISBN-13: 978-0198534112
• Product Dimensions: 9.1 x 6.1 x 0.9 inches
• Shipping Weight: 1.5 pounds (View shipping rates and policies)
• Average Customer Review: 4.6 out of 5 stars  See all reviews (8 customer reviews)
• Amazon Best Sellers Rank: #663,239 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

8 of 8 people found the following review helpful:

5.0 out of 5 stars A great reference resource, June 29, 2001

By 

Jeffrey C. Lacombe (Reno, NV USA) - See all my reviews
(REAL NAME)   

This review is from: The Mathematics of Diffusion (Paperback)

This classic diffusion text continues where many other texts end, and covers a broad variety of problem types. This is an excellent resource for diffusion solutions for less-common boundary conditions and assumptions, including thorough mathematical developments of the solutions and many references to the original works. Non-mathematicians will often need to roll up their sleeves to digest portions of the derivations, but the insight into the solution processes is often very revealing. This makes this book an invaluable reference, although it is probably not well suited as your only book on diffusion.

1 of 1 people found the following review helpful:

5.0 out of 5 stars Classic and essential read for diffusion problems!, June 2, 2006

By 

Vivek Sharma "Kavi" (Cambridge / Boston, MA, USA) - See all my reviews
(VINE VOICE)   

Amazon Verified Purchase

This review is from: The Mathematics of Diffusion (Paperback)

Crank's Mathematics of diffusion is a comprehensive summary of solutions to several diffusion related problems. The insights offered are clear and logical, mathematics is at a level that anyone with a college level understanding of calculus (and differential equations) can comprehend and appreciate. The book is particularly useful for researchers and experimentalists who wish to design measurements to understand diffusion behavior into pratically realizable substrates. Time dependent, concentration dependent and temperature dependent effects are included and non-Fickian behavior is discussed. Moving boundaries, sorption and problems involving diffusion in heterogeneous media are also described. Of course, the discussions are neither exhaustive nor recent results feature in the book, for which one must look on his own. This is more like a basic text, and must be used likewise.

The book does not discuss mass transfer under convective flow conditions, and does not incorporate discussion of experimental methods used to measure concentration gradients. Yet it is an essential text to compare many observed concentration profiles to the known solutions plotted in the book. Mass Transfer by Hines and Maddox can be used as supplement for looking at chemical engineering type mass transfer problems. For anyone familiar with an excellent text by Carslaw and Jaegar on the Conduction of heat in solids, Crank's text provides a nice mapping of heat transfer problems discussed in that book to diffusion related problems. The mathematics of diffusion, once mastered, is useful in understanding similar problems in heat problems, momentum transport etc. For everyone involved in studies involving diffusion, Crank's treatise is a must have, must read book.

10 of 15 people found the following review helpful:

5.0 out of 5 stars Classic solutions to diffusion problems., October 26, 1997

By A Customer

This review is from: The Mathematics of Diffusion (Paperback)

This book is a classic, collecting analytical solutions to common differential equations arising from common problems in mass transport.