The expression for (diV<pdV)/d is straightforward. It is dJ<pdV = dJv(<<p)avedV = dJy[X] dV = dmJydV = d[X]V = dJXX} dt dt dt dt dt dt

Substituting in Eqs. (92), (93), (94) into the Reynolds transport theorem,

V^m [ X ] - kd [ X]j = j V^p}+{-Q [ Xo ] + Q [ X]} (95)

This simplifies to

This may be compared with Equation (75). As shown, the difference is in the confusion as to whether to use the total derivative or the partial derivative. This difference may be dismissed as trivial, but, of course, the use of the total derivative is very wrong. Compare the two expressions:

From this comparison, it is very clear that d[X]/dt is not equal to d[X]/dt and one cannot substitute for the other.

Was this article helpful?

0 0
How To Bolster Your Immune System

How To Bolster Your Immune System

All Natural Immune Boosters Proven To Fight Infection, Disease And More. Discover A Natural, Safe Effective Way To Boost Your Immune System Using Ingredients From Your Kitchen Cupboard. The only common sense, no holds barred guide to hit the market today no gimmicks, no pills, just old fashioned common sense remedies to cure colds, influenza, viral infections and more.

Get My Free Audio Book

Post a comment