3.21 Some animals have learned to take advantage of the Bernoulli effect without having read a fluid mechanics book. For example, a typical prairie dog burrow contains two entrances- -a flat front door and a mounded back door as shown in Fig. P3.21. When the wind blows with velocity Vo across the front door, the average velocity across the back door is greater than Vo because of the mound. Assume the air velocity across the back door is 1.07Vo. For a wind velocity of 6 m/s, what pressure differences, p₁ - P2, are generated to provide a fresh airflow within the burrow? Vo (1) Figure P3.21 (2) 1.07 Vo

3.21 Some animals have learned to take advantage of the Bernoulli effect without having read a fluid mechanics book. For example, a typical prairie dog burrow contains two entrances- -a flat front door and a mounded back door as shown in Fig. P3.21. When the wind blows with velocity Vo across the front door, the average velocity across the back door is greater than Vo because of the mound. Assume the air velocity across the back door is 1.07Vo. For a wind velocity of 6 m/s, what pressure differences, p₁ - P2, are generated to provide a fresh airflow within the burrow? Vo (1) Figure P3.21 (2) 1.07 Vo

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Some animals have learned to take advantage of the Bernoulli effect without having read a fluid mechanics book. For example, a typical prairie dog burrow contains two entrances—a flat front door and a mounded back door, as shown in Fig. P3.5.6. When the wind blows with velocity V0 across the front door, the average velocity across the back door is greater than V0 because of the mound. Assume the air velocity across the back door is 1.07V0. For a wind velocity of 6 m/s, what pressure differences, p1 − p2, are generated to provide a fresh airflow within the burrow?
Example (1-2): A 2.5 cm diameter water jet exerts a force of 90 kN in the direction of flow on a flat plate which is held inclined at an angle of 30° with the axis of stream. Find the rate of flow.
A vane turns a water jet through an angle α , as shown inFig. P3.87. Neglect friction on the vane walls. ( a ) What isthe angle α for the support force to be in pure compression?( b ) Calculate this compression force if the water velocity is22 ft/s and the jet cross section is 4 in 2 .
In Fig. P3.55 the jet strikes a vane that moves to the right atconstant velocity V c on a frictionless cart. Compute ( a ) theforce F x required to restrain the cart and ( b ) the power Pdelivered to the cart. Also fi nd the cart velocity for which( c ) the force F x is a maximum and ( d ) the power P is amaximum.
The dredger in Fig. P3.70 is loading sand (SG = 2.6) ontoa barge. The sand leaves the dredger pipe at 4 ft/s with aweight fl ow of 850 lbf/s. Estimate the tension on the mooringline caused by this loading process.
P3.51 When a jet strikes an inclined fixed plate, as in Fig. P3.51, it breaks into two jets at 2 and 3 of equal velocity V = Vjet but unequal fluxes aQ at 2 and (1 - a)Q at section 3, a being a fraction. The reason is that for frictionless flow the fluid can exert no tangen- tial force F, on the plate. The condition F, us to solve for a. Perform this analysis, and find a as a function of the plate angle 0. Why doesn't the answer depend on the properties of the jet? 0 enables aQ, V (2 P. Q, A, V (1) Fn F, = 0 (1-a) Q, V 3. P3.51
A liquid jet of velocity V j and diameter D j strikes a fi xedhollow cone, as in Fig. P3.47, and defl ects back as a conicalsheet at the same velocity. Find the cone angle θ for whichthe restraining force F = 3/2ρAjVj2 .
If the rectangular tank full of water in Fig. P3.37 has itsright-hand wall lowered by an amount δ , as shown, waterwill fl ow out as it would over a weir or dam. we deduced that the outfl ow Q would be given byQ = C b g1/2δ3/2where b is the tank width into the paper, g is the accelerationof gravity, and C is a dimensionless constant. Assumethat the water surface is horizontal, not slightly curved as inthe fi gure. Let the initial excess water level be δ o . Derive aformula for the time required to reduce the excess waterlevel to ( a ) δ o /10 and ( b ) zero.
Water fl ows steadily through the box in Fig. P3.63. Averagevelocity at all ports is 7 m/s. The vertical momentum forceon the box is 36 N. What is the inlet mass fl ow?
Q.2 3 A fluid of density 1200 kg/m at 1 atm pressure is compressed to 101 atm pressure isothermally. If the isothermal -5 compression is 4.8x 10 atm, the -1 increase in density in kg/m of fluid is
A typical pump has a head that, for a given shaft rotationrate, varies with the fl ow rate, resulting in a pump performancecurve as in Fig. P3.181. Suppose that this pump is75 percent efficient and is used for the system in Prob.3.180. Estimate ( a ) the flow rate, in gal/min, and ( b ) thehorsepower needed to drive the pump.
P4.88 The viscous oil in Fig. P4.88 is set into steady motion by a concentric inner cylinder moving axially at velocity U inside a fixed outer cylinder. Assuming constant pressure and density and a purely axial fluid motion, solve Eqs. (4.38) for the fluid velocity distribution vz(r). What are the proper boundary conditions? b. v(r) a U Oil: p, H