Wilkes, James O. Fluid mechanics for chemical engineers, 2nd ed., with microfluidics and CFD/James O. Wilkes. p. cm. Includes bibliographical references and. Chemical Engineering Fluid Mechanics is based on notes that I have complied and continually revised while teaching the junior-level ﬂuid mechanics course for . Fluid Mechanics for Chemical Engineers with Microfluidics and CFD, 2/E James O. Wilkes solutions manual. Fluid Mechanics for Chemical Engineers Second Edition With Microfluidics and CFD James O Wilkes Solution Manual PDF. Fluid Mechanics for Chemical Engineers - Noel de.
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Matthew Leach. Arjun Singh Yadav. Sandler Chemical, Biochemical, and Engineering Thermodynamics problem 7.
Egregious McAlbert. More From Marco Ravelo. Wang, Q. Optimal design of a new aromatic extractive distillation process aided by a co-solvent mixture. Energy Procedia, , Marco Ravelo. Prasad, P. Et Al. Multiloop Control of a Polymerization Reactor. Pol Eng Sci. Willey, R. We shall choose V. Step 2: List all the problem variables and parameters, along with their dimensions. Step 3: Choose a set of reference variables. The number of reference variables must be equal to the minimum number of fundamental dimensions in the problem in this case, three.
No two reference variables should have exactly the same dimensions.
All the dimensions that appear in the problem variables must also appear somewhere in the dimensions of the reference variables. In general, the procedure is easiest if the reference variables chosen have the simplest combination of dimensions, consistent with the preceding criteria. In this problem we have three dimensions M, L, t , so we need three reference variables.
The variables D, ", and L all have the dimension of length, so we can choose only one of these. In fact, any combination of these groups will be dimensionless and will be just as valid as any other combination as long as all of the original variables are represented among the groups. However, any set of groups derived by forming a suitable combination of any other set would be just as valid. As we shall see, which set of groups is the most appropriate will depend on the particular problem to be solved, i.
It should be noted that the variables that were not chosen as the reference variables will each appear in only one group.
Dimensionless Variables The original seven variables in this problem can now be replaced by an equivalent set of four dimensionless groups of variables. Furthermore, the relationship between these dimensionless variables or groups is independent of scale.
That is, any two similar systems will be exactly equivalent, regardless of size or scale, if the values of all dimensionless variables or groups are the same in each. It must be determined from theoretical or experimental analysis. Dimensional analysis gives only an appropriate set of dimensionless groups that can be used as generalized variables in these relationships. However, because of the universal generality of the dimensionless groups, any functional relationship between them that is valid in any system must also be valid in any other similar system.