Fundamentals of Aerodynamics
6th Edition
ISBN: 9781259129919
Author: John D. Anderson Jr.
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 2, Problem 2.14P
In Example 2.1, the statement is made that the streamline an infinite distance above the wall is straight. Prove this statement.
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b) In a flow field, there are two sources having equal strengths located along the x-axis at
x = 0 and x = 3 m, and a sink located on the y -axis at y = 3 m as illustrated in Figure
Q2(b). If the strength for each source is 0.5 m²/s and for the sink is 1.0 m²/s, determine
the magnitude and direction of the fluid velocity at point P (x, y) = (6 m, 0 m).
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6m
Figure Q2(b)
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O2. Two immiscible liquids of equal thickness h are being sheared between a fixed and a moving
plate, as in Fig. 2. Gravity is neglected, and there is no variation with x. Find an expression for (i)
the velocity at the interface and (ii) the shear stress in each fluid. Assume steady laminar flow.
Fluid layer
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Fig. 1
Fig. 2
Fluid Question
A fire hose nozzle has a diameter of 1.125 in. According to some fire codes, the nozzle must be capable of delivering at least 250 gal/min. If the nozzle is attached to a 3 -in.- -diameter hose, what pressure must be maintained just upstream of the nozzle to deliver this flowrate?
Chapter 2 Solutions
Fundamentals of Aerodynamics
Ch. 2 - Consider a body of arbitrary shape. If the...Ch. 2 - Consider an airfoil in a wind tunnel (i.e., a wing...Ch. 2 - Consider a velocity field where the x and y...Ch. 2 - Consider a velocity field where the x and y...Ch. 2 - Consider a velocity field where the radial and...Ch. 2 - Consider a velocity field where the x and y...Ch. 2 - The velocity field given in Problem 2.3 is called...Ch. 2 - The velocity field given in Problem 2.4 is called...Ch. 2 - Is the flow field given in Problem 2.5...Ch. 2 - Consider a flow field in polar coordinates, where...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 6.41 The velocity potential for a certain inviscid, incompressible flow field is given by the equation o = 2x?y – G) where o has the units of m/s when x and y are in meters. Deter- mine the pressure at the point x = 2 m, y = 2 m if the pressure at x = 1 m, y = 1 m is 200 kPa. Elevation changes can be neglected, and the fluid is water.arrow_forward5.73 Assume the liquid film in Example 5.9 is horizontal (i.e., 0 = 0°) and that the flow is driven by a constant shear stress on the top surface (y= h), Tyx= C. Assume that the liquid film is thin enough and flat and that the flow is fully devel- oped with zero net flow rate (flow rate Q= 0). Determine the velocity profile u(y) and the pressure gradient dp/dx. h = 1 mm 0 = 15° Width b = 1 marrow_forwardExample (1-3): A jet of water 8 cm in diameter moving with velocity of 12 m/s strikes a flat vane which is normal to the axis of the stream. (a) Find the force exerted by the jet if the vane moves with a velocity of 5 m/s. (b) Determine the force exerted by the jet if instead of one flat vane, there is a series of vanes so arranged that each vane appears successively before the jet in the same position and always moving with a velocity of 5 m/s. (c) Determine also the efficiency of the system.arrow_forward
- A 5 in. diameter plunger is being pushed at 0.5 ft/s onto. tank filled with oil having a SG of 0.93. if the fluid is incompressible, how many N/s of oil is being forced out at a 30-mm diameter hole?arrow_forward4) Show that Bernoull's theorem for a perfect fluid in a uniform gravitational field can be written in the non-dimensional form : = constant where Fr is a variable Froude number and z, is a reference height which is adopted as characteristic length.arrow_forwardFigure 1) shows a tank of 20∘C water with a nozzle h = 27 cm below the surface. Bernoulli's equation applies to the flow between points 1 and 2 on the streamline, but not to the flow between points 2 and 3.What is the volume flow rate through the nozzle in L/min ? Assume that the water level in the tank is held constant.arrow_forward
- When a fluid originally at rest is accelerated on a streamline under steady flow conditions, Select all that apply. Select one or more: a. the hydrostatic pressure will increase b. the stagnation pressure will not change c. the total pressure will not change d. the stagnation pressure will decrease e. the static pressure will decreasearrow_forwardA VISCOUS FLUID FLOWS BETWEEN TWO PARALLEL AND INFINITELY LARGE PLATES KEPT AT A DISTANCE 2H FROM EACH OTHER. THE UPPER PLATE IS AT Y = H AND THE LOWE... A viscous fluid flows between two parallel and infinitely large plates kept at a distance 2h from each other. The upper plate is at y = h and the lower plate is at y = - h. The considered fluid flows mono directionally along the x-direction under a constant pressure gradient K = -dP/dx. The transverse profile of velocity is given by : U(y) = K (h² - y²) U (y) = (h-y) U(y) = (h² - y²) U(y) = (y²) U(y) = K (h-y) 2h EU(y)arrow_forward6.33 In a certain two-dimensional flow field, the velocity is con- stant with components u = -4 ft/s and v = -2 ft/s. Determine the corresponding stream function and velocity potential for this flow field. Sketch the equipotential line = 0 which passes through the origin of the coordinate system.arrow_forward
- Torricelli problem. A tank whose shape is obtained by rotating y = x6. At t = 0, the water height is y = 2. The hole at the bottom is of area a = 0.05m2. The gravity acceleration is g = 9.8m/s2. How long will it take for all the water to drain from the tank?arrow_forwardThe figure below shows 4 streamlines corresponding to a free vortex flow. The streamlines are concentric eircles, and the velocity magnitude Valong each streamline is given by V = K/r, where r is the radial distance from the center, and K is a constant. Assume the flow to be steady, incompressible and inviscid. Neglect the effects of gravity. If K = 20 m2/s and the fluid density is 1000 kg/m, what is the magnitude of the static pressure difference AP between 2 streamlines at radial distances r = 3 m and r = 4 m? Ap = 1 КРа. C r Вarrow_forward1. Consider a two-dimensional rectangular region which is very long and narrow, and filled with a fluid. Along one of the long walls is a conveyor belt, which moves with constant velocity U. Near the center of the region, far from the ends, the flow may be assumed to be parallel flow. Find U(y).arrow_forward
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