July 2017
Intermediate to advanced
816 pages
22h 16m
English
book
Fluid Mechanics for Chemical Engineers: with Microfluidics, CFD, and COMSOL Multiphysics 5
by James O. Wilkes
Content preview from Fluid Mechanics for Chemical Engineers: with Microfluidics, CFD, and COMSOL Multiphysics 5
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Appendix A. Useful Mathematical Relationships
HERE, we present several commonly used mathematical formulas, the majority of which will be needed in this text. Although the reader should already have encountered these relationships in first- and second-year college mathematics courses, we believe that it is helpful to summarize them in one location.
Geometrical Shapes
In Table A.1, r is the radius of an object, D is its diameter, and L is the length of the cylinder.
Table A.1
Circle |
Sphere |
Cylinder |
|
Circumference: |
2πr = πD |
— |
— |
Surface area: |
|
4πr2 = πD2 |
|
Volume: |
— |
Additionally, the area of a triangle of base B and altitude H is
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