Viscometric Flows of Non-Newtonian Fluids Theory and Experiment by Bernard David Coleman, Hershel Markovitz, W. Noll


Viscometric Flows of Non-Newtonian Fluids Theory and Experiment by Bernard David Coleman, Hershel Markovitz, W. Noll

We here attempt to give a complete but concise treatment of the theory of steady viscometric flows of simple (non-Newtonian) fluids and to use that theory to discuss the design and interpretation of ex- periments. We are able to present the theory with less mathematical machinery than was used in our original papers, partly because this Tract has more limited aims than those papers, and partly because we employ a method, found by Noll and published here for the first time, for dealing with visco metric flows without the apparatus of rela- tive Cauchy-Green tensors and reduced constitutive equations. To make the theory accessible to students not familiar with modern mathematics, we have added to our Tract an appendix explaining some of the mathe- matical concepts essential to continuum physics. Pittsburgh, July 1965 BERNARD D. COLEMAN HERSHEL MARKOVITZ WALTER NOLL CONTENTS I. Introduction page 1. Limitations of the Classical Theory of Navier and Stokes. 1 5 2. Incompressible Simple Fluids...3. Plan and Scope of this Monograph ...7 II. Theory of Incompressible Simple Fluids 4. Kinematics...10 5. The Dynamical Equations ...12 6. The Principle of Material Objectivity ...14 7. The Definition of an Incompressible Simple Fluid . 17 8. Static Behavior of Simple Fluids ...19 III. General Theory of Viscometric Flows 9. The Kinematics of Simple Shearing Flow 21 10. The Viscometric Functions ...22 11. The Dynamics of Simple Shearing Flow; Viscosity 26 12. The Definition of a Viscometric Flow 29 13. Curvilineal Flows...30 1. Kinematical Description ...

About the Author

Other Formats

Book Info


130 pages


Bernard David Coleman, Hershel Markovitz, W. Noll
More books by Bernard David Coleman, Hershel Markovitz, W. Noll


Publication date

1st January 1966



At @HHSHaringey we love @lovereading4kids because our pupils can practice reviewing & get free upcoming books before anyone else!

Helen Swinyard – Heartlands High

I love finding new books to read. My mummy and me look at the new ones coming out. I have written reviews of some of them!

Jessica Cobbin – age 7

I love ‘LoveReading 4 kids’ because they let you read and learn things you’d never dreamed of learning before.

Emily Horncastle – age 11

It is THE website to use for narrowing down your search for any book. Definitely knocks the socks off any other book review website.

Nickey and Tomasz Hawryszczuk

I think Lovereading4kids is an amazing company because of the friendly staff and the fabulous chance to read great books before publication.

Adam Graham

LoveReading4Kids is a modern and creative way of emphasising the value and importance of books in this digital age #booksforlife

Amrit Bunet – Teen

You give me age appropriate ideas of books I can read and buy for the children and find out what other children their age think of them too.

Katie Lonsdale

A great way to introduce kids to great books, authors & genres. Parents can find age-appropriate books to share with their children.

Judi Davies – Aberdare Girls Sch

Lovereading 4 schools