The Mathematics of Diffusion

By John Crank

Book Overview

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... This description may be from another edition of this product.

• Format: Hardcover
• Language: English
• ISBN: 0198533446
• ISBN13: 9780198533443
• Release Date: January 1975
• Publisher: Oxford University Press
• Length: 424 Pages
• Weight: 2.25 lbs.

Customer Reviews

Classic and essential read for diffusion problems!

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.

So many examples

This book does it all. Any problems you have Crank has got you. Don't read it without knowing transport though, he solves mad prolems but that's really it. No insight or anything like that. Who cares he does MAD problems

Superior text on diffusion

This text is a great resource for understanding diffusion. It is accessible to your average scientist (my background is soil science), but you will have to do some work if your not a mathematician. Don't let that stop you though, this is THE text on diffusion maths. It's an invaluable tool.

A great reference resource

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.

Classic solutions to diffusion problems.

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