Fluid Mechanics
8th Edition
ISBN: 9780073398273
Author: Frank M. White
Publisher: McGraw-Hill Education
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Chapter 7, Problem 7.34P
To determine
The percentage of the friction drag on the plate is carried by the rear half of plate is.
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Spur gears
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Q.1. The press shown for Figure.1 has a rated load
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Chapter 7 Solutions
Fluid Mechanics
Ch. 7 - Prob. 7.1PCh. 7 - A gas at 20°C and 1 atm flows at 6 ft/s past a...Ch. 7 - Prob. 7.3PCh. 7 - Prob. 7.4PCh. 7 - SAE 30 oil at 20°C flows at 1.8 ft3/s from a...Ch. 7 - Prob. 7.6PCh. 7 - P7.7 Air at 20°C and 1 atm enters a 40-cm-square...Ch. 7 - P7.8 Air, p = 1.2 kg/m3 and E-5 kg/(m .s), flows...Ch. 7 - P7.9 Repeat the flat-plate momentum analysis of...Ch. 7 - Repeat Prob. P7.9, using a trigonometric profile...
Ch. 7 - Prob. 7.11PCh. 7 - Prob. 7.12PCh. 7 - Prob. 7.13PCh. 7 - Prob. 7.14PCh. 7 - Prob. 7.15PCh. 7 - A thin flat plate 55 by 110 cm is immersed in a...Ch. 7 - Consider laminar flow past a sharp flat plate of...Ch. 7 - Air at 20°C and 1 atm flows at 5 m/s past a flat...Ch. 7 - Prob. 7.19PCh. 7 - Air at 20°C and I atm flows at 20 m/s past the...Ch. 7 - Prob. 7.21PCh. 7 - Prob. 7.22PCh. 7 - Prob. 7.23PCh. 7 - Prob. 7.24PCh. 7 - Prob. 7.25PCh. 7 - P7.26 Consider laminar boundary layer flow past...Ch. 7 - Prob. 7.27PCh. 7 - Prob. 7.28PCh. 7 - Prob. 7.29PCh. 7 - Prob. 7.30PCh. 7 - Prob. 7.31PCh. 7 - Prob. 7.32PCh. 7 - Prob. 7.33PCh. 7 - Prob. 7.34PCh. 7 - Prob. 7.35PCh. 7 - Prob. 7.36PCh. 7 - Prob. 7.37PCh. 7 - Prob. 7.38PCh. 7 - P7.39 A hydrofoil 50 cm long and 4 m wide moves...Ch. 7 - Prob. 7.40PCh. 7 - Prob. 7.41PCh. 7 - Prob. 7.42PCh. 7 - Prob. 7.43PCh. 7 - Prob. 7.44PCh. 7 - P7.45 A thin sheet of fiberboard weighs 90 N and...Ch. 7 - Prob. 7.46PCh. 7 - Prob. 7.47PCh. 7 - Prob. 7.48PCh. 7 - Based strictly on your understanding of flat-plate...Ch. 7 - Prob. 7.50PCh. 7 - Prob. 7.51PCh. 7 - Prob. 7.52PCh. 7 - Prob. 7.53PCh. 7 - *P7.54 If a missile takes off vertically from sea...Ch. 7 - Prob. 7.55PCh. 7 - Prob. 7.56PCh. 7 - Prob. 7.57PCh. 7 - Prob. 7.58PCh. 7 - Prob. 7.59PCh. 7 - Prob. 7.60PCh. 7 - Prob. 7.61PCh. 7 - A sea-level smokestack is 52 m high and has a...Ch. 7 - For those who think electric cars are sissy, Keio...Ch. 7 - Prob. 7.64PCh. 7 - Prob. 7.65PCh. 7 - Prob. 7.66PCh. 7 - The Toyota Prius has a drag coefficient of 0.25, a...Ch. 7 - Prob. 7.68PCh. 7 - Prob. 7.69PCh. 7 - P7.70 The Army’s new ATPS personnel parachute is...Ch. 7 - Prob. 7.71PCh. 7 - Prob. 7.72PCh. 7 - Prob. 7.73PCh. 7 - Prob. 7.74PCh. 7 - Prob. 7.75PCh. 7 - P7.76 The movie The World’s Fastest Indian tells...Ch. 7 - Prob. 7.77PCh. 7 - Prob. 7.78PCh. 7 - Prob. 7.79PCh. 7 - Prob. 7.80PCh. 7 - Prob. 7.81PCh. 7 - Prob. 7.82PCh. 7 - Prob. 7.83PCh. 7 - P7.84 A Ping-Pong ball weighs 2.6 g and has a...Ch. 7 - Prob. 7.85PCh. 7 - Prob. 7.86PCh. 7 - P7.87 A tractor-trailer truck has a drag area CA =...Ch. 7 - P7.88 A pickup truck has a clean drag area CDA of...Ch. 7 - Prob. 7.89PCh. 7 - Prob. 7.90PCh. 7 - Prob. 7.91PCh. 7 - Prob. 7.92PCh. 7 - A hot-film probe is mounted on a cone-and-rod...Ch. 7 - Baseball drag data from the University of Texas...Ch. 7 - Prob. 7.95PCh. 7 - Prob. 7.96PCh. 7 - Prob. 7.97PCh. 7 - A buoyant ball of specific gravity SG 1 dropped...Ch. 7 - Prob. 7.99PCh. 7 - Prob. 7.100PCh. 7 - Prob. 7.101PCh. 7 - Prob. 7.102PCh. 7 - Prob. 7.103PCh. 7 - Prob. 7.104PCh. 7 - Prob. 7.105PCh. 7 - Prob. 7.106PCh. 7 - Prob. 7.107PCh. 7 - Prob. 7.108PCh. 7 - Prob. 7.109PCh. 7 - Prob. 7.110PCh. 7 - Prob. 7.111PCh. 7 - Prob. 7.112PCh. 7 - Prob. 7.113PCh. 7 - Prob. 7.114PCh. 7 - Prob. 7.115PCh. 7 - Prob. 7.116PCh. 7 - Prob. 7.117PCh. 7 - Suppose that the airplane of Prob. P7.116 is...Ch. 7 - Prob. 7.119PCh. 7 - Prob. 7.120PCh. 7 - Prob. 7.121PCh. 7 - Prob. 7.122PCh. 7 - Prob. 7.123PCh. 7 - Prob. 7.124PCh. 7 - Prob. 7.125PCh. 7 - Prob. 7.126PCh. 7 - Prob. 7.127PCh. 7 - Prob. 7.1WPCh. 7 - Prob. 7.2WPCh. 7 - Prob. 7.3WPCh. 7 - Prob. 7.4WPCh. 7 - Prob. 7.5WPCh. 7 - Prob. 7.6WPCh. 7 - Prob. 7.7WPCh. 7 - Prob. 7.8WPCh. 7 - Prob. 7.9WPCh. 7 - How does the concept of drafting, in automobile...Ch. 7 - Prob. 7.11WPCh. 7 - Prob. 7.12WPCh. 7 - Prob. 7.1FEEPCh. 7 - Prob. 7.2FEEPCh. 7 - Prob. 7.3FEEPCh. 7 - Prob. 7.4FEEPCh. 7 - Prob. 7.5FEEPCh. 7 - Prob. 7.6FEEPCh. 7 - Prob. 7.7FEEPCh. 7 - Prob. 7.8FEEPCh. 7 - Prob. 7.9FEEPCh. 7 - Prob. 7.10FEEPCh. 7 - Prob. 7.1CPCh. 7 - Prob. 7.2CPCh. 7 - Prob. 7.3CPCh. 7 - Prob. 7.4CPCh. 7 - Prob. 7.5CPCh. 7 - It is desired to design a cup anemometer for wind...
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- Problem 2 (55 pts). We now consider the FEM solution of Problem 1.(a) [5pts] Briefly describe the 4 steps necessary to obtain the approximate solution of thatBVP using the Galerkin FEM. Use the minimum amount of math necessary to supportyour explanations.(b) [20pts] Derive the weak form of the BVP.(c) [10pts] Assuming a mesh of two equal elements and linear shape functions, sketch byhand how you expect the FEM solution to look like. Also sketch the analytical solutionfor comparison. In your sketch, identify the nodal degrees of freedom that the FEMsolution seeks to find.(d) [10pts] By analogy with the elastic rod problem and heat conduction problem considered in class, write down the stiffness matrix and force vector for each of the twoelements considered in (c).(e) [10pts] Assemble the global system of equations, and verbally explain how to solve it.arrow_forwardAn aluminum rod of length L = 1m has mass density ρ = 2700 kgm3 andYoung’s modulus E = 70GPa. The rod is fixed at both ends. The exactnatural eigenfrequencies of the rod are ωexactn =πnLqEρfor n=1,2,3,. . . .1. What is the minimum number of linear elements necessary todetermine the fundamental frequency ω1 of the system? Discretizethe rod in that many elements of equal length, assemble the globalsystem of equations KU = ω2MU, and find the fundamentalfrequency ω1. Compute the relative error e1 = (ω1 − ωexact1)/ωexact1.Sketch the fundamental mode of vibration.arrow_forwardProblem 1 (65 pts, suggested time 50 mins). An elastic string of constant line tension1T is pinned at x = 0 and x = L. A constant distributed vertical force per unit length p(with units N/m) is applied to the string. Under this force, the string deflects by an amountv(x) from its undeformed (horizontal) state, as shown in the figure below.The PDE describing mechanical equilibrium for the string isddx Tdvdx− p = 0 . (1)(a) [5pts] Identify the BCs for the string and identify their type (essential/natural). Writedown the strong-form BVP for the string, including PDE and BCs.(b) [10pts] Find the analytical solution of the BVP in (a). Compute the exact deflectionof the midpoint v(L/2).(c) [15pts] Derive the weak-form BVP.(d) [5pts] What is the minimum number of linear elements necessary to compute the deflection of the midpoint?(e) [15pts] Write down the element stiffness matrix and the element force vector for eachelement.arrow_forward
- Problem 1 (35 pts). An elastic string of constant line tension1 T is pinned at x = 0 andx = L. A constant distributed vertical force per unit length p (with units N/m) is appliedto the string. Under this force, the string deflects by an amount v(x) from its undeformed(horizontal) state, as shown in the figure below.Force equilibrium in the string requires thatdfdx − p = 0 , (1)where f(x) is the internal vertical force in the string, which is given byf = Tdvdx . (2)(a) [10pts] Write down the BVP (strong form) that the string deflection v(x) must satisfy.(b) [2pts] What order is the governing PDE in the BVP of (a)?(c) [3pts] Identify the type (essential/natural) of each boundary condition in (a).(d) [20pts] Find the analytical solution of the BVP in (a).arrow_forwardProblem 2 (25 pts, (suggested time 15 mins). An elastic string of line tension T andmass per unit length µ is pinned at x = 0 and x = L. The string is free to vibrate, and itsfirst vibration mode is shown below.In order to find the frequency of the first mode (or fundamental frequency), the string isdiscretized into a certain number of linear elements. The stiffness and mass matrices of thei-th element are, respectivelyESMi =TLi1 −1−1 1 EMMi =Liµ62 11 2 . (2)(a) [5pts] What is the minimum number of linear elements necessary to compute the fundamental frequency of the vibrating string?(b) [20pts] Assemble the global eigenvalue problem and find the fundamental frequency ofvibration of the stringarrow_forwardI need part all parts please in detail (including f)arrow_forward
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