By Y. C. Fung

Revision of a vintage textual content through a special writer. Emphasis is on challenge formula and derivation of governing equations. re-creation positive factors elevated emphasis on purposes. New bankruptcy covers long term adjustments in fabrics less than rigidity.

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4 COMMENT The values from part (a) and part (b) are the same, as expected. Dimensionless quantities play an important role in fluid mechanics, and the significance of the Reynolds number, as well as other important dimensionless combinations, will be discussed in detail in Chapter 7. It should be noted that in the Reynolds number it is actually the ratio ␮/␳ that is important, and this is the property that we have defined as the kinematic viscosity. Newtonian Fluid Shear Stress GIVEN The velocity distribution for the flow of a Newtonian fluid between two fixed wide, parallel plates (see Fig.

It can also be a point in the analysis at which certain questions are posed. For example: Is the answer reasonable, and does it make physical sense? Are the final units correct? If a certain parameter were changed, how would the answer change? Adopting this type of methodology will aid in the development of problem-solving skills for fluid mechanics, as well as other engineering disciplines. 1 Restricted and General Homogeneous Equations GIVEN A commonly used equation for determining the volume rate of flow, Q, of a liquid through an orifice located in the side of a tank as shown in Fig.

Dimensions, Dimensional Homogeneity, and Units Since we will be dealing with a variety of fluid characteristics in our study of fluid mechanics, it is necessary to develop a system for describing these characteristics both qualitatively and quantitatively. qxd 4 9/24/10 11:11 AM Page 4 Chapter 1 ■ Introduction characteristics (such as length, time, stress, and velocity), whereas the quantitative aspect provides a numerical measure of the characteristics. The quantitative description requires both a number and a standard by which various quantities can be compared.

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