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Fluid Mechanics for Chemical Engineers: with Microfluidics, CFD, and COMSOL Multiphysics 5, 3rd Edition by Conrad Carlberg

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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

Image

Additionally, the area of a triangle of base B and altitude H is A = BH/2; and the area of a rectangle of breadth B and width W is A = BW .

Derivatives

Integrals

In the following, ...

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