First monthly examThird stageGas dynamicsQ1/A stream function in a two-dimensional flow is w.1. Show that the flow represents a possible flow.2. Show that the flow is irrotational (potential) anddetermine the corresponding velocity potential function.Q2/ Water at 15 C flow through a 300 mm diameter rivetedsteel pipe, Є=3 mm with a head loss of 6 m in 300 m.Determine the flow rate in pipe. Use moody chart.Q3/ Water, p=998 kg/m3, v = 1.005 × 10-6 m2 /s flowsthrough a 0.6 cm tube diameter, 30 m long, at a flow rateof 0.34 L/min. If the pipe discharges to the atmosphere,determine the supply pressure ( p1) if the tube isinclined 10° above the horizontal in the flow direction.30 mev10°

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Answered: First monthly exam Third stage Gas…

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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A venturi meter, shown in Fig. designed constriction whose pressure difference is a mea- sure of the flow rate in a pipe. Using Bernoulli's equation for steady incompressible flow with no losses, show that the flow rate Q is related to the manometer reading h by is a carefully 2gh(PM – p). A2 VT- (D/D;)4 where py is the density of the manometer fluid. 2
Please solve it with explanation.thx.
1. A piston-cylinder is producing a viscous oil flow, which has the flow rate of Q, radius R=1.5 mm, and stroke L-5 mm. The fluid density is p = 800 kg/m³ and the viscosity is μ = 0.5 Pa-s. The pressure to drive the flow is p-6.25 Pa. a. How many non-dimensional groupings can be obtained? Derive them. b. If the flow transitions at Re = V(2R) =2300. Is the generated flow laminar or turbulent given Q=20 mL/s? c. Assume the pressure gradient is uniform on the cross-section and can be calculated using - The velocity profile in the cylinder is u(r) = [1-2²]. Sketch the velocity profile. Calculate the shear stress at the ax 2μ δχ cylinder wall and label the direction. d. Calculate the flow rate Q with the velocity profile in (c).. e. If the shear stress is uniform over the cross-section, i.e. T = C, what's the pressure gradient distribution and sketch it? L r L. R
1. A piston-cylinder is producing a viscous oil flow, which has the flow rate of Q, radius R=1.5 mm, and stroke L-5 mm. The fluid density is p = 800 kg/m³ and the viscosity is μ = 0.5 Pa-s. The pressure to drive the flow is p=6.25 Pa. a. How many non-dimensional groupings can be obtained? Derive them. b. If the flow transitions at Re = PV(2R) =2300. Is the generated flow laminar or turbulent given Q=20 mL/s? LL c. Assume the pressure gradient is uniform on the cross-section and can be calculated using OP=-. The velocity profile in the cylinder is u(r) = ax - [1-(²]. Sketch the velocity profile. Calculate the shear stress at the R² ap 2UÔI cylinder wall and label the direction. d. Calculate the flow rate Q with the velocity profile in (c).. e. If the shear stress is uniform over the cross-section, i.e. T = C, what's the pressure gradient distribution and sketch it? L L. R
C
Q.5 a) In a 80 mm diameter pipeline an oil of specific gravity 0-8 is flowing at the rate of 0-0125 m^3/s. A sudden expansion takes place into a second pipeline of such diameter that maximum pressure rise is obtained. Find :(i) Loss of energy in sudden expansion,(ii) Differential gauge length indicated by an oil-mercury manometer connected between the two pipes. (iii) find the maximum pressure rise. (-
3rd solution please
Q.3 b) A total of 14 litres per second of oil is pumped through two pipes in parallel, one 12 cm in diameter and the other 8 cm in diameter, both pipes being 1200 metres long. The specific gravity of the oil is 0.97 and the kinematic viscosity 9 cm^2 per second. Calculate the flowrate through each pipe and the power of the pump. ,
1.) A process fluid (μ = 3 cP, p = 1210 kg/m³) is flowing through a 5.8-cm ID pipe with an average velocity (Uavg) of 2.5 m/sec. Calculate/estimate the following: a) What is the velocity profile from the center of the pipe (r=0 cm) to the pipe wall (r; = 2.9 cm)? b) The length of the pipe (4) is 10 feet. Calculate the pressure drop through the pipe using the Hagen-Poiseuille law. c) Calculate the Reynolds number for this system. d) Is the flow in the pipe laminar or turbulent? e) Estimate the Fanning friction factor (f) in this system. f) What is the pressure drop (AP) in the system if friction is considered?
First monthly exam Gas dynamics Third stage Q1/Water at 15° C flow through a 300 mm diameter riveted steel pipe, E-3 mm with a head loss of 6 m in 300 m length. Determine the flow rate in pipe. Use moody chart. Q2/ Assume a car's exhaust system can be approximated as 14 ft long and 0.125 ft-diameter cast-iron pipe ( = 0.00085 ft) with the equivalent of (6) regular 90° flanged elbows (KL = 0.3) and a muffler. The muffler acts as a resistor with a loss coefficient of KL= 8.5. Determine the pressure at the beginning of the exhaust system (pl) if the flowrate is 0.10 cfs, and the exhaust has the same properties as air.(p = 1.74 × 10-3 slug/ft³, u= 4.7 x 10-7 lb.s/ft²) Use moody chart (1) MIDAS Kel=0.3 Q3/Liquid ammonia at -20°C is flowing through a 30 m long section of a 5 mm diameter copper tube(e = 1.5 × 10-6 m) at a rate of 0.15 kg/s. Determine the pressure drop and the head losses. .μ= 2.36 × 10-4 kg/m.s)p = 665.1 kg/m³
A horizontal Venturi meter is shown in Figure 8 to measure the flow rate of water in the mainpipe. The main pipe area and the throat area are 100 m2 and 50 m2 respectively. The pressureP1 is measured as 3000 kPa and the pressure in the throat is P2 = 50.0 kPa and assume, thedensity of water is 1000.0 kg/m3. Use Bernoulli’s Principle to: a) Determine the velocity V2 , m/s in the throatb) Determine the velocity, V1, m/s in the main pipec) Determine the flow rate Q, m3/s in the water mains.
MECHANICS OF FLUIDS (I)

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