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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Fluid Mechanics for Chemical Engineers Second Edition With Microfluidics and CFD James O Wilkes Solution Manual PDF - Ebook download as. Fluid Mechanics for Civil Engineers - Department of Civil Engineering Coulson & Richardson's Chemical Engineering Chemical Engineering, Volume 1, Sixth. The book aims at providing to master and PhD students the basic knowledge in fluid mechanics for chemical engineers. Applications to mixing.
This can be determined through common sense, logic, intuition, experience, or physical reasoning or by asking someone who is more experienced or knowledgeable. They can also be determined from a knowledge of the physical principles that govern the system e.
These equations may be macroscopic or microscopic e. Many problem statements, as well as solutions, involve assumptions that are implied but not stated.
One should always be on the lookout for such implicit assumptions and try to identify them wherever possible, since they set corresponding limits on the applicability of the results.
The method we will use to illustrate the dimensional analysis process is one that involves a minimum of manipulations. It does require an initial knowledge of the variables and parameters that are important in the system and the dimensions of these variables.
The objective of the process is to determine an appropriate set of dimensionless groups of these variables that can then be used in place of the original individual variables for the purpose of describing the behavior of the system. The process will be Dimensional Analysis and Scale-up 25 explained by means of an example, and the results will be used to illustrate the application of dimensional analysis to experimental design and scale-up.
The procedure is as follows.
Step 1: Identify the important variables in the system. Most of the important fundamental variables in this system should be obvious. 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.
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