Download E-books Viscometric Flows of Non-Newtonian Fluids: Theory and Experiment (Springer Tracts in Natural Philosophy) PDF

By Bernard D. Coleman, Hershel Markovitz, W. Noll

We the following try and supply a whole yet concise therapy of the speculation of regular viscometric flows of easy (non-Newtonian) fluids and to exploit that idea to debate the layout and interpretation of ex­ periments. we can current the speculation with much less mathematical equipment than was once utilized in our unique papers, in part simply because this Tract has extra restricted goals than these papers, and in part simply because we hire a style, came across via Noll and released the following for the 1st time, for facing visco metric flows with out the gear of rela­ tive Cauchy-Green tensors and lowered constitutive equations. To make the speculation obtainable to scholars now not conversant in sleek arithmetic, now we have additional to our Tract an appendix explaining a few of the mathe­ matical ideas necessary to continuum physics. Pittsburgh, July 1965 BERNARD D. COLEMAN HERSHEL MARKOVITZ WALTER NOLL CONTENTS I. advent web page 1. boundaries of the Classical conception of Navier and Stokes. 1 five 2. Incompressible uncomplicated Fluids. . . . . . . . . . . . three. Plan and Scope of this Monograph . . . . . . . . . 7 II. concept of Incompressible easy Fluids four. Kinematics. . . . . . . . . . . . 10 five. The Dynamical Equations . . . . . . . . . . . 12 6. the main of fabric Objectivity . . . . . . 14 7. The Definition of an Incompressible uncomplicated Fluid . 17 eight. Static habit of straightforward Fluids . . . . . . . . 19 III. basic idea of Viscometric Flows nine. The Kinematics of straightforward Shearing circulate 21 10. The Viscometric features . . . . . . . . . . 22 eleven. The Dynamics of straightforward Shearing stream; Viscosity 26 12. The Definition of a Viscometric stream 29 thirteen. Curvilineal Flows. . . . . . . . 30 1. Kinematical Description . . . .