O'Reilly logo

Fluid Mechanics for Chemical Engineers with Microfluidics and CFD, Second Edition by James O. Wilkes

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Chapter 5. Differential Equations of Fluid Mechanics

5.1. Introduction to Vector Analysis

The various quantities used in fluid mechanics may be subdivided into the categories of scalars, vectors, and tensors. At any point in space and time, a scalar needs only a single number to represent it, examples being temperature, volume, and density. A vector, however, needs for its description both a magnitude and a direction, examples being force, velocity, and momentum; for example, the gravitational force on one kilogram is g newtons, vertically downward. A tensor is more complicated, and its discussion will be postponed until the shear-stress tensor is introduced in Section 5.7. Appendix C gives details of a few important vector and tensor operations ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required