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By Donald F. Young, Bruce R. Munson, Theodore H. Okiishi, Wade W. Huebsch

A short creation to Fluid Mechanics, fifth variation is designed to hide the normal themes in a easy fluid mechanics path in a streamlined demeanour that meets the educational wishes of today?s scholar greater than the dense, encyclopedic demeanour of conventional texts. This technique is helping scholars attach the maths and conception to the actual global and sensible purposes and observe those connections to fixing difficulties. The textual content lucidly provides easy research thoughts and addresses useful matters and purposes, akin to pipe movement, open-channel circulate, movement size, and drag and raise. It bargains a powerful visible method with photographs, illustrations, and video clips incorporated within the textual content, examples and homework difficulties to stress the sensible software of fluid mechanics rules

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For example, this phenomenon may occur in flow through the irregular, narrowed passages of a valve or pump. When vapor bubbles are formed in a flowing liquid, they are swept along into regions of higher pressure where they suddenly collapse with sufficient intensity to actually cause structural damage. The formation and subsequent collapse of vapor bubbles in a flowing liquid, called cavitation, is an important fluid flow phenomenon to be given further attention in Chapters 3 and 7. 9 Floating razor blade × 10−3 4 Water 2 0 21 Vapor Pressure Liquid 6 Surface Tension 0 50 100 150 200 Temperature, ЊF At the interface between a liquid and a gas, or between two immiscible liquids, forces develop in the liquid surface that cause the surface to behave as if it were a “skin” or “membrane” stretched over the fluid mass.

4 lb/ft2 = ␶top wall 10 ␶, lb/ft 2 (b) Along the midplane where y ϭ 0, it follows from Eq. 1 COMMENT From Eq. 7 F I G U R E 0 y, in. 1 Bulk Modulus p V An important question to answer when considering the behavior of a particular fluid is how easily can the volume (and thus the density) of a given mass of the fluid be changed when there is a change in pressure? That is, how compressible is the fluid? 9) p + dp V – dV where dp is the differential change in pressure needed to create a differential change in volume, dV, of a volume V, as shown by the figure in the margin.

SOLUTION FIND Determine (a) the shearing stress acting on the bottom wall and (b) the shearing stress acting on a plane parallel to the walls and passing through the centerline (midplane). h y u h For this type of parallel flow the shearing stress is obtained from Eq. 8. du (1) ␶ϭ␮ dy Thus, if the velocity distribution, u ϭ u(y), is known, the shearing stress can be determined at all points by evaluating the velocity gradient, du/dy. 4a (a) Along the bottom wall y ϭ Ϫh so that (from Eq. 4 lb/ft2 at the walls.

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