By Ronald Darby
Combining theoretical and empirical views right into a truly geared up and finished textual content, Chemical Engineering Fluid Mechanics, moment version discusses the imperative behavioral innovations of fluids and the fundamental tools of study for fixing numerous engineering occasions. Drawing at the author's 35 years of expertise, the e-book covers the issues and issues of functionality, gear operation, and sizing and choice from the perspective of a technique engineer-with real-world engineering difficulties. It offers over four hundred end-of-chapter difficulties and examples to enhance crucial recommendations and includes over 1100 equations, literature references, illustrations, and tables.
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Extra resources for Chemical Engineering Fluid Mechanics
For the present, a Newtonian ﬂuid is one that requires only one rheological property, the viscosity (), to determine ﬂow behavior, whereas a non-Newtonian ﬂuid requires a rheological ‘‘function’’ that contains two or more parameters. Each of these parameters is a Dimensional Analysis and Scale-up 29 rheological property, so in place of the viscosity for a Newtonian ﬂuid, the non-Newtonian ﬂuid would require two or more ‘‘rheological properties,’’ depending upon the speciﬁc model that describes the ﬂuid, with a corresponding increase in the number of dimensionless groups.
We will choose D (arbitrarily) as one reference variable: ½D ¼ L Dimensional Analysis and Scale-up 27 The dimension t appears in V, ÁP, and , but V has the simplest combination of dimensions, so we choose it as our second reference variable: ½V ¼ L=t We also need a reference variable containing the dimension M, which could be either or . Since has the simplest dimensions, we choose it for the third reference variable: ½ ¼ M=L3 Our three reference variables are therefore D, V, and . , L ¼ ½D; t ¼ ½D=V; M ¼ ½D3 Step 5: Write the dimensional equations for each of the remaining variables.
A capital N with a subscript identifying the person the group is named for. However, a number of dimensionless quantities that are identiﬁed by other symbols; see, for example, Section IV. 22 Chapter 2 the ﬁtting, with dimensions of length. , its magnitude is deﬁned only in speciﬁc units. , so ID must also be measured in inches for this value to be valid. ) ¼ 2:54 cm. B. Consistent Units The conclusion that dimensionless numerical values are universal is valid only if a consistent system of units is used for all quantities in a given equation.