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Elements Of Electromagnetics

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 Francis radial-flow hydroturbine is being designed with the following dimensions: r₂ = 2.00 m, r₁ = 1.42 m, b₂ = 0.731 m, and b₁ = 2.20 m. The runner rotates at n^. = 180 rpm. The wicket gates turn the flow by angle ?₂ = 30° from radial at the runner inlet, and the flow at the runner outlet is at angle ?₁ = 10° from radial. The volume flow rate at design conditions is 340 m³ /s, and the gross head provided by the dam is Hgross = 90.0 m. For the preliminary design, irreversible losses are neglected. Calculate the inlet and outlet runner blade angles ?₂ and ?₁, respectively, and predict the power output (MW) and required net head (m). Is the design feasible?

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Problem-3: A centrifugal pump lifts water against a static head Az = EN m. The pipe setup has a constant diameter of 0.08 m, major losses in the suction side h, = EN3 m and in the discharge side hLD is 3 m. The pump impeller has a diameter of 0.15 m, exit width of 0.015 m, exit blade angle of 22° and speed of N = 20EN rpm. The hydraulic efficiency is 0.85. If the flow at the entrance is radial, find the discharge, pump head, atmospheric pressure Pat, Vapor pressure P, and maximum allowable height of the pump from the feeding tank water surface elevation if the pump is operating under T 25 °C at altitude H= 20EN m. %3D 0, = NPSHR/Hp =1.21×10³N = (P EN=62 Is-mx at-abs-P,)/Y-hLsT -0H, Pa-abs /Y = 10.33(1– 2.256x10-H)56 P,ly = e14.29-3985(T+233.4))
Displacement (c): 0.2 in3/revShank diameter (d) = 0.625 in.Piston diameter (D) = 1.5 in.Rotation speed (n): 1725 RPMPressure (P): 600 PSIStroke (L) = 18in. a) Calculate the theoretical flow rate of the pump in in3/min and US GPM.Theoretical flow (Q) = Theoretical displacement (C) x Speed of revolution (n)Theoretical flow (Q) = 0.2 in3/rev x 1725 rpmTheoretical flow (Q) = 345 in3/min = 1.49 US GPM b) Calculate the cylinder output speed in in/s.Cylinder output speed (VS) = Piston side flow (Q) / Piston area (Ap)Cylinder output speed (VS) = (Displacement x Speed of revolution) / Piston area (Ap)Cylinder output speed (VS) = (0.2 in3/rev x 1725 RPM) / 1.77 in2Cylinder output speed (VS) = (0.2 in3/rev x 1725 RPM) / 1.77 in2Cylinder output speed (VS) = 196.02in/s = 196.02 / 60s = 3.20 in/s Questions: c) Knowing the output velocity (ram speed), calculate the rod side flow in GPM when the ram is extending. d) Calculate the piston exit time in seconds. e) Calculate the piston entry time in…

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