Related questions
Question
Transcribed Image Text:Consider an incompressible, two-dimensional flow in the r-y plane. The velocity com-
ponents in this flow are given by
U =
Cy
x² + y²
and v=
-Cx
x² + y²
where C is a constant.
(a) Prove that this flow is physically possible.
(b) Find the equation of the streamlines.
(c) Plot some streamlines to show what the flow pattern looks like.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 4 steps with 1 images
Knowledge Booster
Similar questions
- The flow of blood to your legs is 12 cm3/s. You begin exercising, and your arteries dilate so that their radius increases by 30%. The pressure difference remains unchanged. What is the new flow rate: a) 34.3 cm3/s b) 15.6 cm3/s c) 20.3 cm3/s d) 360 cm3/s THEN... Using your result as the new flow rate, and 12 cm3/s as the old flow rate: if the pressure difference supplied by your heart was originally 120mmHg, select the correct option for what the new pressure difference would need to be if the radius did not change? a) 2.86 mmHg b) 1440 mmHg c) 343 mmHg d) 10 mmHgarrow_forwardA trapezoidal canal with side slopes of 2:1(H:V) has a bottomwidth of 10 ft and carries a flow of 600cfs. (a.) find thecritical depth and velocity. (b.) if the canal is lined with brick(n= 0.015) find the critical slope for the same rate ofdischarge.arrow_forward(9 points) The speed of the wind is measured with a venturi, a tube of narrowing cross section with a "U"-shaped tube Flow connected between the two sides. The ratio of the radii of the wide and narrow parts of the top tube is 2:1, and liquid Eeenium of density 10,000 kg/m' partially fills the U-tube. Determine H when a gust of 250 km/h enters the wide end of the upper tube. Assume the air does not compress inside the venturi. Your answer should be a number.arrow_forward
- The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y = 0.8x2 and below the line 140. (Here, distances are measured in meters.) The y water level is 26 meters below the top of the dam. Find the force (in Newtons) exerted on the dam by kg water pressure. (Water has a density of 1000 m , and the acceleration of gravity is 9.8 :) sec2 -> DII * #3 & 2 3. 4. 6. 7 8. 9. Warrow_forwardInvalid path. The figure below shows the essential parts of a hydraulic brake system. The area of the piston in the master cylinder is 1.8 cm? and that of the piston in the brake cylinder is 6.4 cm?. The coefficient of friction between shoe and wheel drum is 0.50. If the wheel has a radius of 32 cm, determine the frictional torque about the axle when a force of 33 N is exerted on the brake pedal. N. m Wheel drum Pedal Shoe Master Brake cylinder cylinderarrow_forwardHydraulic systems utilize Pascal's principle by transmitting pressure from one cylinder (called the primary) to another (called the secondary). Since the pressures will be equal, if the surface areas are different then the forces applied to the cylinders' pistons will be different. Suppose in a hydraulic lift, the piston of the primary cylinder has a 2.1-cm diameter and the piston of the secondary cylinder has a 25.5-cm diameter. -What force, in newtons, must be exerted on the primary cylinder of this lift to support the weight of a 2250-kg car (a large car) resting on the secondary cylinder?arrow_forward
- At what flow rate (in m3/s) might turbulence begin to develop in a water main with a 0.300 m diameter? Assume a 20°C temperature.arrow_forwardWhat is the average flow rate in cm^3/s of gasoline to the engine of a car traveling at 100 km/h if it averages 12.0 km/L?arrow_forwardAn incompressible fluid is flowing from left to right in the horizontal pipe shown. The diameter varies through this section of piping. At which of the points shown, labeled A through E, does the mass flow rate have greatest value? A O O O O O O с B B C The mass flow rate has the same value at all of the positions shown. A D Earrow_forward
arrow_back_ios
arrow_forward_ios