The large tank of incompressible liquid in Fig. P3.143 is at rest when, at t = 0, the valve is opened to the atmos- phere. Assuming h= constant (negligible velocities and accelerations in the tank), use the unsteady frictionless Bemoulli equation to derive and solve a differential equa- tion for V(f) in the pipe.

The large tank of incompressible liquid in Fig. P3.143 is at rest when, at t = 0, the valve is opened to the atmos- phere. Assuming h= constant (negligible velocities and accelerations in the tank), use the unsteady frictionless Bemoulli equation to derive and solve a differential equa- tion for V(f) in the pipe.

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

See similar textbooks

Similar questions

The large tank of incompressible liquid in Fig. P3.143 is atrest when, at t = 0, the valve is opened to the atmosphere.Assuming h ≈ constant (negligible velocities and accelerationsin the tank), use the unsteady frictionless Bernoulliequation to derive and solve a differential equation for V ( t )in the pipe.
SAE 10 oil at 20 ° C fl ows between parallel plates 8 mmapart, as in Fig. P4.86. A mercury manometer, with wall pressure taps 1 m apart, registers a 6-cm height, as shown.Estimate the fl ow rate of oil for this condition.
Consider a geyser that shoots water to a height of 28 m into the air.Density of water, rho = 1000 kg m-3, acceleration due to gravity, g = 9.81 ms-1, atmospheric pressure, Patm = 101250 Pa. How fast is the water traveling when it emerges from the ground, If the water originates in a chamber 44 m below the ground, what isthe pressure there (consider there is NO friction within the chamberand that the water can be considered to be stationary)?
Pump Patm = 100 kPa D= 3 cm The pump in Fig. P3.146 draws gasoline at 20°C from a reservoir. Pumps are in big trouble if the liquid vaporizes (cavitates) before it enters the pump. (a) Neglecting losses and assuming a flow rate of 65 gal/min, find the limita- tions on (x, y, z) for avoiding cavitation. (b) If pipe fric- tion losses are included, what additional limitations might be important? Gasoline, SG = 0.68 P3.146
In Fig. P3.121 the fl owing fl uid is CO 2 at 20 ° C. Neglect losses.If p 1 = 170 kPa and the manometer fl uid is Meriam red oil(SG = 0.827), estimate ( a ) p 2 and ( b ) the gas fl ow rate in m 3 /h.
A piston compresses gas in a cylinder by moving at constantspeed V , as in Fig. P4.18. Let the gas density andlength at t = 0 be ρ 0 and L 0 , respectively. Let the gas velocityvary linearly from u = V at the piston face to u = 0 atx = L . If the gas density varies only with time, fi nd anexpression for ρ ( t ).
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
Pump Pam = 100 kPa D= 3 cm The pump in Fig. P3.146 draws gasoline at 20°C from a reservoir. Pumps are in big trouble if the liquid vaporizes (cavitates) before it enters the pump. (a) Neglecting losses and assuming a flow rate of 65 gal/min, find the limita- tions on (x, y, z) for avoiding cavitation. (b) If pipe fric- tion losses are included, what additional limitations might be important? Gasoline, SG = 0.68 P3.146
In a certain industrial process, oil of density ρ fl ows throughthe inclined pipe in Fig. C3.1. A U -tube manometer, withfl uid density ρ m , measures the pressure difference betweenpoints 1 and 2, as shown. The pipe fl ow is steady, so thatthe fl uids in the manometer are stationary. ( a ) Find ananalytic expression for p 1 - p 2 in terms of the systemparameters. ( b ) Discuss the conditions on h necessary forthere to be no fl ow in the pipe. ( c ) What about fl ow up,from 1 to 2? ( d ) What about fl ow down , from 2 to 1?
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.
can you please solve this for me thanks,The increase in flow energy of a 10 ft3 of fluid passing a boundary of a system is 80,000 ft-lb. Determine the exit pressure if the inlet pressure is 100 psi.
A Closed tank of water with Length, I = 20 ft Height, h = 10.45 ft %3D Width, w = 5.6 ft Pgage = 0 kPa at the top before acceleration is accelerating at an angle of 38° with respect to the horizontal, where the x component of the acceleration is parallel to that of the length of the tank at a rate of 6.35 ft/s² . If the tank is 76% %3D full, calculate the pressure at the bottom of the left side of the tank and the force acting at the top of the tank during acceleration. Take note that the tank is fixed such that it remains parallel to the horizontal during acceleration