FOX+MCDONALD'S INTRO.TO...-ACCESS+BOX
9th Edition
ISBN: 9781118471340
Author: Pritchard
Publisher: WILEY
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Chapter 6, Problem 8P
Consider a two-dimensional incompressible flow flowing downward against a plate. The velocity is given by
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θ(x,y)=x2-y2+2xy
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Chapter 6 Solutions
FOX+MCDONALD'S INTRO.TO...-ACCESS+BOX
Ch. 6 - An incompressible frictionless flow field is given...Ch. 6 - A velocity field in a fluid with density of 1000...Ch. 6 - The x component of velocity in an incompressible...Ch. 6 - Consider the flow field with the velocity given by...Ch. 6 - Consider the flow field with the velocity given by...Ch. 6 - The velocity field for a plane source located...Ch. 6 - In a two-dimensional frictionless, incompressible...Ch. 6 - Consider a two-dimensional incompressible flow...Ch. 6 - An incompressible liquid with a density of 900...Ch. 6 - Consider a flow of water in pipe. What is the...
Ch. 6 - The velocity field for a plane vortex sink is...Ch. 6 - An incompressible liquid with negligible viscosity...Ch. 6 - Consider water flowing in a circular section of a...Ch. 6 - Consider a tornado as air moving in a circular...Ch. 6 - A nozzle for an incompressible, inviscid fluid of...Ch. 6 - A diffuser for an incompressible, inviscid fluid...Ch. 6 - A liquid layer separates two plane surfaces as...Ch. 6 - Consider Problem 6.15 with the nozzle directed...Ch. 6 - Consider Problem 6.16 with the diffuser directed...Ch. 6 - A rectangular computer chip floats on a thin layer...Ch. 6 - Heavy weights can be moved with relative ease on...Ch. 6 - The y component of velocity in a two-dimensional...Ch. 6 - The velocity field for a plane doublet is given in...Ch. 6 - Tomodel the velocity distribution in the curved...Ch. 6 - Repeat Example 6.1, but with the somewhat more...Ch. 6 - Using the analyses of Example 6.1 and Problem...Ch. 6 - Water flows at a speed of 25 ft/s. Calculate the...Ch. 6 - Plot the speed of air versus the dynamic pressure...Ch. 6 - Water flows in a pipeline. At a point in the line...Ch. 6 - In a pipe 0.3 m in diameter, 0.3 m3/s of water are...Ch. 6 - A jet of air from a nozzle is blown at right...Ch. 6 - The inlet contraction and test section of a...Ch. 6 - Maintenance work on high-pressure hydraulic...Ch. 6 - An open-circuit wind tunnel draws in air from the...Ch. 6 - Water is flowing. Calculate H(m) and p(kPa). P6.36Ch. 6 - If each gauge shows the same reading for a flow...Ch. 6 - Derive a relation between A1 and A2 so that for a...Ch. 6 - Water flows steadily up the vertical 1...Ch. 6 - Your car runs out of gas unexpectedly and you...Ch. 6 - A tank at a pressure of 50 kPa gage gets a pinhole...Ch. 6 - The water flow rate through the siphon is 5 L/s,...Ch. 6 - Water flows from a very large tank through a 5 cm...Ch. 6 - Consider frictionless, incompressible flow of air...Ch. 6 - A closed tank contains water with air above it....Ch. 6 - Water jets upward through a 3-in.-diameter nozzle...Ch. 6 - Calculate the rate of flow through this pipeline...Ch. 6 - A mercury barometer is carried in a car on a day...Ch. 6 - A racing car travels at 235 mph along a...Ch. 6 - The velocity field for a plane source at a...Ch. 6 - A smoothly contoured nozzle, with outlet diameter...Ch. 6 - Water flows steadily through a 3.25-in.-diameter...Ch. 6 - A flow nozzle is a device for measuring the flow...Ch. 6 - The head of water on a 50 mm diameter smooth...Ch. 6 - Water flows from one reservoir in a 200-mm pipe,...Ch. 6 - Barometric pressure is 14.0 psia. What is the...Ch. 6 - A spray system is shown in the diagram. Water is...Ch. 6 - Water flows out of a kitchen faucet of...Ch. 6 - A horizontal axisymmetric jet of air with...Ch. 6 - The water level in a large tank is maintained at...Ch. 6 - Many recreation facilities use inflatable bubble...Ch. 6 - Water flows at low speed through a circular tube...Ch. 6 - Describe the pressure distribution on the exterior...Ch. 6 - An aspirator provides suction by using a stream of...Ch. 6 - Carefully sketch the energy grade lines (EGL) and...Ch. 6 - Carefully sketch the energy grade lines (EGL) and...Ch. 6 - Water is being pumped from the lower reservoir...Ch. 6 - The turbine extracts power from the water flowing...Ch. 6 - Consider a two-dimensional fluid flow: u = ax + by...Ch. 6 - The velocity field for a two-dimensional flow is...Ch. 6 - A flow field is characterized by the stream...Ch. 6 - The flow field for a plane source at a distance h...Ch. 6 - The stream function of a flow field is = Ax2y ...Ch. 6 - A flow field is characterized by the stream...Ch. 6 - A flow field is characterized by the stream...Ch. 6 - The stream function of a flow field is = Ax3 ...Ch. 6 - A flow field is represented by the stream function...Ch. 6 - Consider the flow field represented by the...Ch. 6 - Show by expanding and collecting real and...Ch. 6 - Consider the flow field represented by the...Ch. 6 - An incompressible flow field is characterized by...Ch. 6 - Consider an air flow over a flat wall with an...Ch. 6 - A source with a strength of q = 3 m2/s and a sink...Ch. 6 - The velocity distribution in a two-dimensional,...Ch. 6 - Consider the flow past a circular cylinder, of...Ch. 6 - The flow in a corner with an angle can be...Ch. 6 - Consider the two-dimensional flow against a flat...Ch. 6 - A source and a sink with strengths of equal...Ch. 6 - A flow field is formed by combining a uniform flow...
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- A circular pipe 2 m long carries water and tapers uniformly from diameter 0.1 m at point A to 0.2 m at point B and slopes upwards at 30◦. Neglecting viscous effects, determine the volume flow rate through the pipe and the pressure at point C halfway between A and B, given that the static pressures at A and B are 2.0 and 2.4 bar respectively.arrow_forwardA venturi tube is used to determine the airspeed at the throat/test section. During the test, a raise of 4.8 inches of water was recorded in the instrument. Determine the velocity of the at the (a) smallest and (b) largest section, when the ratio of the area between the largest and smallest section is 75:30. Assume incompressible flow and standard sea-level conditions.the answer should be v1 = 63.1962 ft/s and v2 = 157.9905 ft/sarrow_forwardFor the flow defined by the stream function ψ = V0y: (a) Plot the streamlines. (b) Find the x and y components of the velocity at any point. (c) Find the volume flow rate per unit width flowing between the streamlines y = 1 and y = 2.arrow_forward
- If the flow velocity is the same in magnitude and direction at every point in the fluid it is said to be a A. Transient Flow B. Steady FlowC. Unsteady Flow D. Uniform Flowarrow_forwardA pipe tapers over 60m from 450mm in diameter to 675mm in diameter. The gauge pressure at the inlet is 75 kN/m2 and the gauge pressure at the outlet is 90 kN/m2. If the centreline of the pipe rises at a gradient of 1 in 80 and the energy loss due to friction is 0.01m per metre length determine the flowrate in the pipeline and the velocity at entry and exit.arrow_forwardCarbon dioxide flows in a horizontal 100 mm wrought iron pipeline at a velocity of 3 m/s.At a point in the line a pressure gage reads 690 kPa and the temperature is 40°C. What pressureis lost as the result of friction in 30 m of this pipe? Barometric pressure is 101.3 kPa. Assumethe fluid is of constant densityarrow_forward
- Water flows steadily through a horizontal 30 degree pipe bend. At the inlet point 1, the diameter is 0.3 m, the velocity is 12 m/s, and the pressure is 128 kPa gauge. At the outlet point 2, the diameter is 0.38 m and the pressure is 145 kPa gauge. Determine the forces F_x and F_y necessary to hold the pipe stationary.arrow_forwardA pipe AB carries water and tapers uniformly from a diameter of 4" at A to 8" at B over a length of 6 ft. Pressyre gauges are installed at A, B and also at C, the midpoint of AB. If the pipe centerline slopes upwards from A to B at an angle of 30° and the pressures recorded at A and B are 2.0 and 2.3 bar, respectively. (1 bar = 14.5 psi) Illustrate the problem before answering the following questions: (a)determine the flow, in ft^3/s through the pipe at C neglecting all lossess. (1 bar = 14.5 psi) (b)determine the pressure in bars, recorded at C neglecting all losses.arrow_forwardQ7. Cavitation just starts to occur in the venturi meter shown in Figure 5 when gage A indicates a pressure of 100 kPa gage. If D = 30 cm and d= 10 cm, what is the water discharge in the system for this condition of incipient cavitation? The atmospheric pressure is 100 kPa gage, and the water temperature is 25°C. Neglect gravitational effects.arrow_forward
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