Fluid Mechanics for Chemical Engineers

Chapter 10: Bubble Motion, Two-Phase Flow, and Fluidization


10.7: You are faced with integrating sinqcosq, and there appear to be two different results:

1. The obvious integral is (sin2q/2), and we recommend that you use this, because it leads to the stream function given by Eqn. (10.85).

2. But, from Appendix A, the integral is -(cos2q)/4, which is not the same, because if you expand the cos(2q), you get _1/4 + (sin2q)/2. However, this would be compatible with the answer in Item 1 above, because the _1/4 would cancel when limits of integration are inserted.

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