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Problem 1 If ν = 141.4 sin (ωt+30°) V and i = 11.31cos (ωt-30°) A, find for each; a) The maximum value, b) The rms value, c) The phasor expression in polar and rectangular form if voltage is the re...
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Serie de Tutoriales en Español Sobre Unreal Engine 4
HES2340 Fluid Mechanics 1 Tutorial 4
1. In this flow passage the velocity is varying with time. The velocity varies with time at section A- A A as
5 ⁄ 2.25
/
A the velocity gradient in the s direction is At time t = = 0.50 s, it is known that at section A- A +2 m/s per meter. Given that t 0 is 0.5 s and assuming quasi-one-dimensional flow, answer the following questions for time t = = 0.5 s.
a. What is the local acceleration at A- A A? A? b. What is the convective acceleration at A- A
2. Liquid flows through this two-dimensional slot with a velocity of
2 // where and t 0 are reference values. What will be the local acceleration at x = 4 B and y = 0 in terms of B, t , t 0, and ?
:
4
Problem 2
3. The velocity of water flow in the nozzle shown is given by the following expression:
2⁄1 0.5⁄ where V = velocity in meters per second, t = time in seconds, x = distance along the nozzle, and L = length of nozzle = 1.2 m. When x = 0.5L and t = 3s, what is the local acceleration along the centerline? What is the convective acceleration? Assume quasione-dimensional flow prevails.
: 3.56 ⁄ ; 126.42⁄
Problem 3
4. If the piston and water ( ρ = 1000 kg/m 3) are accelerated upward at a rate of 0.4 g, what will be the pressure at a depth of 0.6 m in the water column?
: 8240
Problem 4
1000⁄ 9.81⁄ 0.4 9.81 ⁄ 13734 / Using the pressure gradient obtain, the pressure at a depth of 0.6m is,
13734⁄0.6 8240 Noted that the negative sign for pressure gradient is just to imply the pressure is decreasing when moving upward along l direction.
5. A liquid with a specific weight of 15,700 N/m 3 is in the conduit. This is a special kind of liquid that has zero viscosity. The pressures at points A and B are 8.1 kPa and 4.8 kPa, respectively. Which one (or more) of the following conclusions can one draw with certainty?
:
(a) (b) (c) (d)
The velocity is in the positive l direction. The velocity is in the negative l direction. The acceleration is in the positive l direction. The acceleration is in the negative l direction.
Problem 5
6. If the velocity varies linearly with the distance through this water nozzle, what is the pressure gradient, dp/dx, halfway through the nozzle? ( ρ = 1000 kg/m3).
:
Problem 6
825⁄
7. Water flows through a vertical contraction (venturi) section. Piezometers are attached to the upstream pipe and minimum area section as shown. The velocity in the pipe is 3 m/s. The difference in elevation between the two water levels in the piezometers is 15 cm. The water temperature is 20°C. What is the velocity at the minimum area?
: 3.5 ⁄
Problem 7
8. Kerosene at 20oC flows through a contraction section as shown. A pressure gage connected between the upstream pipe and throat section shows a pressure difference of 20 kPa. The gasoline velocity in the throat section is 10 m/s. what is the velocity (m/s) in the upstream pipe?
