Problem 10.1 Water flows steadily through a 180° reducing pipe bend as shown in the figure (notice the transition from a larger diameter at section 1 to a smaller diameter at section 2). The atmospheric pressure outside the piping system is Patm = 100 kPa. The pipe bend is connected to the two pipes by flanges. The flanges are held together by flange bolts. Assume the density of water is 1000 kg/m³. At the inlet to the bend, the pressure is P₁ = 350 kPa, the pipe diameter is D₁ = 25 cm, and the water velocity is V₁ = 2.2 m/s. At the outlet of the bend, the pressure is P₂ = 120 kPa and the pipe diameter is D₂ = 8 cm. The weight of the pipe bend and the water in the bend may be neglected for this analysis. 1 5 2 (a) Determine the velocity of the water at the outlet (i.e., at Section 2). Hint: Use CoM principles (and don't forget to draw a system diagram!). (b) Draw appropriate system diagrams to determine the total force acting on the flanges (to keep the system in equilibrium). You can represent the total force on the flanges acting at point "G". (c) Determine the magnitude and direction of the total force of the flange bolts (at point G) on the pipe bend with the stated pressure effects.

Problem 10.1 Water flows steadily through a 180° reducing pipe bend as shown in the figure (notice the transition from a larger diameter at section 1 to a smaller diameter at section 2). The atmospheric pressure outside the piping system is Patm = 100 kPa. The pipe bend is connected to the two pipes by flanges. The flanges are held together by flange bolts. Assume the density of water is 1000 kg/m³. At the inlet to the bend, the pressure is P₁ = 350 kPa, the pipe diameter is D₁ = 25 cm, and the water velocity is V₁ = 2.2 m/s. At the outlet of the bend, the pressure is P₂ = 120 kPa and the pipe diameter is D₂ = 8 cm. The weight of the pipe bend and the water in the bend may be neglected for this analysis. 1 5 2 (a) Determine the velocity of the water at the outlet (i.e., at Section 2). Hint: Use CoM principles (and don't forget to draw a system diagram!). (b) Draw appropriate system diagrams to determine the total force acting on the flanges (to keep the system in equilibrium). You can represent the total force on the flanges acting at point "G". (c) Determine the magnitude and direction of the total force of the flange bolts (at point G) on the pipe bend with the stated pressure effects.

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

In the figure below, assume the pipe from B to C has a diameter of 4-inches, (f = 0.035), and length of 18-feet. The pipe from DE is 187-feet, has a diameter of 4-inches and friction factor of 0.035. The Az = 69-feet. The elevation of C is 14-feet above the lower water surface. If the pressure head @ C is to be no less than (-) 20 feet, and the pump has 63% efficiency, what horsepower must be supplied to the pump in order to convey flow through the system? (Kent = 0.8) Assume a submerged exit. Az
1. Assume a horizontal shaft handling water at 65 deg C (Pv=2.503 KPa, Density=980.5 m3/kg). The suction nozzle is 4.35 m below the pump centerline and the pressure gauge reading at this point is 221Kpag. Determine the NPSHa if the head loss is 0.82 m. If the NPSHr is 3m less than the NPSHa you got on question number 1, determine the pump suction specific speed at pump rotating at 1800rpm and Q=500gpm
Water at 80°F flows from a storage tank through 618 ft of 6-in Schedule 40 steel pipe, as shown in the figure. Taking the energy loss due to friction into account, calculate the required head hin feet above the pipe inlet to produce a volume flow rate of 1.65 ft³/s. (round the final answer to three significant figures) h 6-in Schedule 40 steel pipe pipe length
Write legibly 6. The piping shown in the figure is a parallel-pipe system carrying water at normal temperature. Pressure head at junction X is 76 m, while that at Y is 48 m. If the inflow at junction X is 0.35 cum/s, determine the flow of water at each branch of the loop. Assume C = 120 for all pipes. determine: a. flow in pipe A: ____________m3/s 1b. flow in pipe B: ____________ m3/s c. flow in pipe C: _____________ m3/s
5. Kerosene (sp.gr. = 0.88 ) enters the cylindrical arrangement as shown on the figure at section 1 at 0.08 N/s. The 80 mm diameter plates are 3 mm apart. Assuming steady flow and unit weight of water is 9790 N/m3 (a) Compute the inlet average velocity Vị (b) Compute the outlet volume flux in m/sec (c) Compute the average velocity V2 assuming radial flow in mm, m/sec D=80 mm 3 mm 4 mm 4 mm
The diameters Dº & dº piped, Venturi- meter like horizontal water flow sistem seen in the drawing is connected to a piston - cylinder system of DPⓇ piston and dp rod diameter and connected to the incoming flow pipe and the cont- racted cross section. Assuming that the ideal - no head loss flow conditions are valid ; Calculate the force F applied to the pis- ton when the average velocity and the pressure at the entrance cross-section is V and p' respectively. Dº = 10 [mm] dº = 5 [mm] " & D dp p* V -FD₂ p = 4,5 [bar] Dp = 30 [mm] dº Pw Horizontal Setup V = 5 [m/s] dp = 6 [mm]
dhe low + DarucienCatculation ot (sesistance zomes Hame pumpseRue, operoting pr 3. Problems: two vessels are connected by a pipe of the diameter of d=100 mm and length of l=12 m, made of steel. Calculate the level difference H of water in the vessels. Flow rate is Q=300 m/h, temperature t=20°C. Take into account the all energy losses. Grei=3. d.!
Find the pressure at point 2 given the isometric drawing of the commercial steel pipeline indicating the straight pipes length and with the following data below:Loss coefficients:• check valve, k = 5.0• gate valves, k = 0.20• elbows, k = 0.75• flowmeter, k = 13.0Pump flowrate = 10 m3/hrFluid power adding by pump = 3.7 HPPressure at point 1 = 60 kPagPipe inside diameter = 50mmViscosity = 0.17 Pa.sSpecific gravity = 0.89Pipe inside surface roughness = 0.00015 ft.
A water pump is used to pump the water to a large water tank as shown in Figure. The free surfaces of both water tanks are under atmospheric pressure. Dimensions and local losses are given below. The flow rate of the pump is determined as 16.2 L/min. Calculate the required manometric head of the pump and the required motor power if the total efficiency is 76.2 percent. The water at 10oC. density r = 996.2 kg/m3, dynamic viscosity µ = 1.362x10-3kg /ms. z2-z1 = 7.62 m (height difference), D = 2.62 cm (pipe diameter), L = 176.2 m (total pipe length), ɛ = 0.2562 mm (pipe roughness value) Local loss coefficients: KL,inlet = 0.562 (pipe inlet) KL,valve = 16.2 (valve), KL,elbow = 0.9262 (there are 5 elbows totally in pipe line), KL,outlet = 1.0562 (pipe outlet).
Problem : Taking into account only the local resistances, detemine the level difference in the tank H. Given: flow rate Q=25 l/sec, dz=120 mm, di=90 mm, Svedg=4. Build up the piezometric line.
A 6 in. pipe, as shown in the figure, takes water from a reservoir and terminates in a nozzle having a jet diameter of 2 in. Assuming a nozzle loss of 8 percent of the velocity head in the jet, compute the discharge (in S.I. units). Also, make a table showing the elevation head, velocity head, pressure head, and total head at each of the six stations. Lastly, draw the hydraulic gradient line (H.G.L.) & the energy gradient line (E.G.L.).
Q2/ A fluid containing (water, oil, sand) flowing through the tube and open to the atmosphere as shown in the figure below... Note that p° = 1.013*10$ Pa Calculate the absolute pressure (Pa). Density: Pwater = 1000 kg/m³ Poil = 800 kg/m' Psand = 200 kg/m' %3D h3=12 cm oiL Pa hi=5 cm h2=6 cm !3! →Sand water