By Donald F. Young, Bruce R. Munson, Theodore H. Okiishi, Wade W. Huebsch
A quick creation to Fluid Mechanics, fifth version is designed to hide the normal issues in a simple fluid mechanics direction in a streamlined demeanour that meets the educational wishes of today?s scholar larger than the dense, encyclopedic demeanour of conventional texts. This method is helping scholars attach the mathematics and thought to the actual international and useful functions and observe those connections to fixing difficulties. The textual content lucidly offers simple research innovations and addresses sensible matters and purposes, akin to pipe move, open-channel circulate, move dimension, and drag and raise. It deals a powerful visible process with pictures, illustrations, and video clips integrated within the textual content, examples and homework difficulties to stress the sensible program of fluid mechanics ideas
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Additional info for A brief introduction to fluid mechanics
14 is also valid for liquids, and values of Ey can be used to determine the speed of sound in liquids. As shown by the figure in the margin, the speed of sound in water is much higher than in air. If a fluid were truly incompressible (Ey ϭ q) the speed of sound would be infinite. 2). 4. FIND Determine the ratio of the speed of the aircraft, V, to that of the speed of sound, c, at the specified altitude. SOLUTION From Eq. 40211716 ft . °R21Ϫ66 ϩ 4602 °R ϭ 973 ft/s By repeating the calculations for different temperatures, the results shown in Fig.
While nobody has actually seen a drop fall from the end of the funnel, a beaker below the funnel holds the previous drops that fell over the years. It is estimated that the pitch is about 100 billion times more viscous than water. Viscosity and Dimensionless Quantities GIVEN A dimensionless combination of variables that is important in the study of viscous flow through pipes is called the Reynolds number, Re, defined as VD/ where, as indicated in Fig. 3, is the fluid density, V the mean fluid velocity, D the pipe diameter, and the fluid viscosity.
The quantitative description requires both a number and a standard by which various quantities can be compared. A standard for length might be a meter or foot, for time an hour or second, and for mass a slug or kilogram. Such standards are called units, and several systems of units are in common use as described in the following section. The qualitative description is conveniently given in terms of certain primary quantities, such as length, L, time, T, mass, M, and temperature, ™ . These primary quantities can then be used to provide a qualitative description of any other secondary quantity, for example, area Џ L2, velocity Џ LT Ϫ1, density Џ MLϪ3, and so on, where the symbol Џ is used to indicate the dimensions of the secondary quantity in terms of the primary quantities.