By Faith A. Morrison
This can be a glossy and chic advent to engineering fluid mechanics enriched with a number of examples, workouts, and purposes. it really is in accordance with religion Morrison's imaginative and prescient that flows are either appealing and complicated. A swollen creek tumbles over rocks and during crevasses, swirling and foaming. Taffy might be stretched, reshaped, and twisted in numerous methods. either the water and the taffy are fluids and their motions are ruled by way of the legislation of nature. The aim of this textbook is to introduce the reader to the research of flows utilizing the legislation of physics and the language of arithmetic. this article delves deeply into the mathematical research of flows, simply because wisdom of the styles fluids shape and why they're shaped and the stresses fluids generate and why they're generated is key to designing and optimizing glossy structures and units. innovations corresponding to helicopters and lab-on-a-chip reactors could by no means were designed with out the perception introduced by means of mathematical types.
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Extra resources for An Introduction to Fluid Mechanics
For the final answer, 47 Why Study Fluid Mechanics? we convert all terms from ft lbf /s to horsepower (hp). , the pump works on the fluid, not the other way around). This is the final answer. To separate individual contributions to the total friction, we calculate the friction for each fitting separately. The answers in the following table are expressed as both energy per unit mass (both units ft lbf /lbm and ft2 /s2 are shown) and energy per unit weight (ft), also called fluid-head units. Energy/Mass Kf Fitting 50 ft of 3-in.
If we carefully choose Points 1 and 2 for our problem, it is straightforward to relate pressure and average velocity with the MEB. In the Venturi meter, we choose Point 1 as the point of the upstream pressure measurement and Point 2 is at the throat, the location of the other pressure measurement. Venturi meters are installed horizontally; thus, z 2 − z 1 = 0. 24) In an example in the previous section, we related v 1 and v 2 through the mass balance over a converging section of pipe. 25) where D1 is the pipe diameter at Point 1 and D2 is the pipe diameter at Point 2.
The amount of work required to pump at a chosen flow rate may be calculated using the mechanical energy balance. 27 Why Study Fluid Mechanics? the fluid, and the elevation, which is all of the information we need to calculate Ws,by from the friction-free MEB. 0 atm, z 1 = 0 (Position 1 is chosen as the reference elevation), and v 1 ≈ 0. 0 atm, z 2 = 75 ft, and the velocity v 2 may be calculated from the volumetric flow rate and the cross-sectional area of the pipe. 25 lbm /ft3 (from Perry’s Handbook ).