Assumptions: The flow is steady, The flow is incompressible, The flow is two-dimensiin the x-y plane. Analysis The pressure field isFor a given pressure andvelocity field,P= P. -(20, bx+ b?(x² + y?)]we are to calculate the rate of change of pressure following a fluid particle.OPpl-Ub3 +2Uob?x+b3(y³-x³) ]Dtpl-Ub -2U,b?x+b³ (y²-x²) ]DtNoneDPDt

Name: Assumptions: The flow is steady, The flow is incompressible, The flow
Uploaded: 2024-03-20T06:51:10.000Z
Channel: Bartleby
Description: Assumptions: The flow is steady, The flow is incompressible, The flow is two-dimensiin the x-y plane. Analysis The pressure field isFor a given pressure andvelocity field,P= P. -(20, bx+ b?(x² + y?)]we are to calculate the rate of change of pressure

In this problem, it is asking about the rate of change of momentum.

Science

Physics

in the x-y plane. Analysis The pressure field isFor a given pressure and velocity field, P= P. -120, bx+ b(x? + y)] we are to calculate the rate of change of pressure following a fluid particle. DP +2Ugb?x+b³ (y³-x³) ] Dt p[-Ub -2U,b?x+b³ (y²-x²) ] -20,b?x+b³ (y²-x²) ] Dt None DP plugo +20g63x -6?y²+x31 Dt

in the x-y plane. Analysis The pressure field isFor a given pressure and velocity field, P= P. -120, bx+ b(x? + y)] we are to calculate the rate of change of pressure following a fluid particle. DP +2Ugb?x+b³ (y³-x³) ] Dt p[-Ub -2U,b?x+b³ (y²-x²) ] -20,b?x+b³ (y²-x²) ] Dt None DP plugo +20g63x -6?y²+x31 Dt

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter12: Fluid Dynamics And Its Biological And Medical Applications

Section: Chapter Questions

Problem 18PE: Suppose you have a wind speed gauge like the pitot tube shown in Example 12.2(b). By what factor...

See similar textbooks

Similar questions

Fluid originally flows through a tube at a rate of 100 cm3/s. To illustrate the sensitivity of flow rate to various factors, calculate be new flow rate for following changes with all other factors remaining the same as in original conditions. (a) Pressure difference increases by a factor of 1.50. (b) A new fluid wit 3.00 times greater viscosity is substituted. (c) The tube is replaced by one having 4.00 times the length. (d) Another tube used with a 0.100 times the original. (e) Yet another tube is substituted with a radius 0.100 times the original and half length, and pressure difference is increased by factor of 1.50.
An oil gusher shoots crude 25.0 m the through a pipe with a 0.100-m diameter. Neglecting resistance but not resistance of the pipe, and assuming laminar flow, calculate pressure at be entrance of be 50.0-m-Iong vertical pipe. Take of the oil to be 900 kg/m3 and its viscosity to be 100(N/m2) s (or 1.00 Pa s). Note that you must take into account the pressure due to 50.0-m column of oil in pipe.
Is there a limit to the height to which an entrainment device can raise a fluid? Explain your answer.
(a) Convert normal blood pressure readings of 120 over 80 mm Hg to newtons per meter squared using be relationship for pressure due to the weight of a fluid (p=hg) rater a conversion factor. (b) Explain why be blood pressure of an infant would likely be smaller than that of an adult. Specifically, consider the smaller height to which blood mast be pumped.
Suppose you have a wind speed gauge like the pitot tube shown in Figure 14.32. By what factor must wad speed increase to double the value of h in the manometer? Is independent of be moving fluid and be fluid the Figure 14.32 Measurement of fluid speed on Bernoulli’s principle. (a) A manometer is connected to two tubes close together and small enough not to disturb the flow. Tube 1 is open at the end facing the flow. A dead spot having zero speed is created there. Tube 2 has an opening on the side, so the fluid has a speed v across; thus, pressure there drops. The difference in pressure at the manometer is 12v22 , so h is proportional to . 12v22 (b) This type of velocity measuring device is a Prandtl tube, also known as a pitot tube.
Does atmospheric pressure add to the gas pressure in a rigid tank? In a toy balloon? When, in general, does atmospheric pressure not affect the total pressure in a fluid?
An oil gusher shoots crude oil 25.0 m into the air through a pipe with a 0.100-m diameter. Neglecting air resistance but not the resistance of the pipe, and assuming laminar flow, calculate the gauge pressure at the entrance of the 50.0-m-long vertical pipe. Take the density of the oil to be 900 kg/m3 and its viscosity to be 1.00 (N/m2) s (or 1.00 Pa s). Note that you must take into account the pressure due to the 50.0-m column of oil in the pipe.
When physicians diagnose arterial blockages, they quote reduction flow rate. If the flow rate an artery has been reduced to 10.0% of its normal value by a blood clot and be average pressure difference has increased by 20.0%, by what factor has the clot reduced the radius of the artery?
(a) Using Bernoulli's equation, show that the measured fluid speed v for a pitot tube, like the one in Figure 12.7(b), is given by v=( 2gh)1/2 , where h is the height of the manometer fluid, is the density of the manometer fluid, is the density of the moving fluid, and g is the acceleration due to gravity. (Note that v is indeed proportional to the square root of h, as stated in the text.) (b) Calculate v for moving air if a mercury manometer's h is 0.200 m. Figure 12.7 Measurement of fluid speed based on Bernoulli's principle. (a) A manometer is connected to two that are close together and small enough not to disturb the flow. Tube 1 is open at the end facing the flow. A dead spot having zero speed is created there. Tube 2 has an opening on the side, and so the fluid has a speed V across the opening; thus, pressure there drops. The difference in pressure at the manometer is 12v22 , and so h is proportional to 12v22 . (b) This type of velocity measuring device is a Prandtl tube, also known as a pitot tube.
Using the equation of the previous problem, find the viscosity of motor oil in which a steel ball of radius 0.8 mm falls a terminal speed of 4.32 cm/s. The densities of the ball and the oil are 7.86 and 0.88 g/mL, respectively.
A small artery has a length of 1.1103m and a radius of 2.55105m . If the pressure drop across the artery is 1.3 kPa, what is the flow rate through artery? (Assume Eat the temperature 37°C)
Referring to Figure 14.20, prove that the buoyant force on be cylinder is equal to the weight of the fluid displaced (Archimedes' principle). You may assume that be buoyant force is F2F1 and that the ends of be cylinder have equal areas A. Note Eat be volume of be cylinder (and that of be fluid displaces) equals (h2h1)A .