For a turbine design, experiments are carried out at 1000 rpm with a 40 cm diameter model which is 13 times smaller than the prototype. The values obtained as a result of the experiments are given in the table below. The turbine to be used in the hydroelectric power plant with a net head of 60 will be designed using the values at the most efficient operating point of the model. [m³/s] 0.87 1.40 1.54 1.90 2.34 3.10 Hart [mSS] 16.1 16.0 15.9 15.8 15.7 15.5 W [kW] 58.7 117.4 176.1 234.8 293.5 355.0 a) CH, CQ and n are functions of CP. Draw the dimensionless performance curves of the turbine on a single graph by making the necessary scalings. (Fit the curve by using the excel program for drawing. Also give the values you used for plotting in the table) b) Find the efficiency of the model at the most efficient operating point and the coefficients of head (CH), flow (CQ) and power (CP). Show them on the graph you have drawn. c)Calculate the diameter, net head, number of revolutions (rpm), flow rate, power (MW) and modified efficiency of the prototype d)Determine the turbine type

For a turbine design, experiments are carried out at 1000 rpm with a 40 cm diameter model which is 13 times smaller than the prototype. The values obtained as a result of the experiments are given in the table below. The turbine to be used in the hydroelectric power plant with a net head of 60 will be designed using the values at the most efficient operating point of the model. [m³/s] 0.87 1.40 1.54 1.90 2.34 3.10 Hart [mSS] 16.1 16.0 15.9 15.8 15.7 15.5 W [kW] 58.7 117.4 176.1 234.8 293.5 355.0 a) CH, CQ and n are functions of CP. Draw the dimensionless performance curves of the turbine on a single graph by making the necessary scalings. (Fit the curve by using the excel program for drawing. Also give the values you used for plotting in the table) b) Find the efficiency of the model at the most efficient operating point and the coefficients of head (CH), flow (CQ) and power (CP). Show them on the graph you have drawn. c)Calculate the diameter, net head, number of revolutions (rpm), flow rate, power (MW) and modified efficiency of the prototype d)Determine the turbine type

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

A large hydraulic turbine is to generate 300 kW at 1000 rpm under a head of 40 m. For initial testing, a 1:4 scale model of the turbine operates under a head of 10 m. The power generated by the model (in kW) will be
A pump 254 mm suction pipe and a 127 mm discharge pipe is used to deliver 52 L/s of water. The suction gage reads 15.6 kPa vacuum and the discharge gage located 100 cm above the suction gage which reads reads 108 kPa gage. Determine the following: 1. The total dynamic head in meter 2. The water power in kW 3. The motor horsepower if the pump efficiency is 76% Choices: 1. 13.856 14. 495 14.409 2. 7.631 7.348 8. 245 3. 12.960 14.935 13.935
You are tasked to supervise the design of 0.5MW wind turbine to be constructed in the Wind Farm in Pililla, Rizal. Suppose the design criteria are as follows: The air density as surveyed after 2 year period averaged at 1.225 kg / cubic meter; the sweeping diameter of the rotor blades is 125m; and the anemometer reading in the area amounts to 4.2m/s on a 2 year period of survey. What is the theoretical power output of the turbine assuming 100% efficiency of operation?
A one-fifth scale model of a water turbine is tested in a laboratory at T = 20°C. The diameter of the model is 8.0 cm, its volume flow rate is 17.0 m3 /h, it spins at 1500 rpm, and it operates with a net head of 15.0 m. At its best efficiency point, it delivers 450 W of shaft power. Calculate the efficiency of the model turbine. What is the most likely kind of turbine being tested?
"You are tasked to supervise the design of 0.5MW wind turbine to be constructed in the Wind Farm in Pililla, Rizal. Suppose the design criteria are as follows: The air density as surveyed after 2 year period averaged at 1.225 kg / cubic meter; the sweeping diameter of the rotor blades is 125m; and the anemometer reading in the area amounts to 4.2m/s on a 2 year period of survey. What is the theoretical power output of the turbine assuming 100% efficiency of operation? Your answer must be in kW and in two decimal places with correct signs." In the previous problem, if the diameter measurement is off by 0.1m and the anemometer reading is also fluctuating by 0.05m/s and if the error measurement for theoretical power output must be limited to 3%, WHY OR WHY NOT should you accept the design?
...Determine the power generated in MW by the hydroelectric plant with the following given: Head water level: 120 m Tail water level: 46 m Head loss: 4 m Flowrate: 66 m^3/s Evaporation losses: 16 % Generation Efficiency: 94 % Use two decimal places in the final answer.
For the model pump below (impeller size: 37.1 cm; shaft speed: 2133.5 rpm), if it is operated to achieve a pump efficiency of 60% at a discharge within the range between 0 and 0.25 m³/s, using a shaft speed of 1800 rpm instead, what will most approximately be the power coefficient? Assume water density 1000 kg/m³. 250 Head, m; power, kW 200 150 100 000 0 50 O 0.69 O 0.73 O 0.88 O 0.52 Efficiency 0.05 Head (AH), m N=2133.5 rpm = 35.6 rps D = 37.1 cm 0.15 Discharge, m³/s 0.10 Power input, kW 0.20 0.25 100 80 60 40 20 0
A certain liquid (SG = 12) flows through a 401-mm diameter pipe at a velocity of 6.5 m/s. Find the mass flow rate in kg/s. Round off to the nearest whole number.
The well-known Bernoulli equation is used to calculate the Bernoulli constant C in a flow, V² P P + +gz 2 where P is the pressure, p is the fluid density, Vis the magnitude of the velocity, g is the gravitational constant, and z is the elevation. In a water flow experiment (p = 1000. kg/m³), the following measurements are made: V = 15.0 +/- 0.15 m/s, and == 3.42 +/- 0.01 m P= 20.5 +/- 0.5 kPa, The gravitational constant is 9.81 m/s². Calculate the RSS uncertainty for the Bernoulli constant C, and write C in standard engineering notation (C = m²/s²). +/-
.4 A large hydraulic turbine is to generate 300 kW at 1000 rpm under a head of 40 m. For initial testing, a 1: 4 scale model of the turbine operates under a head of 10 m. The power generated by the model (in kW) will be (a) 2.34 (c) 9.38 (b) 4.68 (d) 18.75
You are being tasked as a wind tunnel engineer to investigate the performance of newly designed high-speed wind tunnel in UPNM. An exhaust gas flows through a nozzle where the inlet area is 5,000 cm2.At this inlet, the gas has a velocity of 1,200 m/s, temperature of 1,500oC,and pressure of 6,000 kPa. Initial measurement revealed that the pressure at the exit of the wind tunnel is 100 kPa. Based on this information, analyze and investigate ; i. Mach number at inlet of the nozzle ii. The velocity of gas at exit iii. The area of the nozzle at exit Take specific heat ratio for the exhaust gas, ? to be 1.7 and the gas constant, R to be 205 J/kg.
A pump delivers 20 cfm of water having a density of 62 lb/ft3. The suction and discharge gage reads 5 in. Hg vacuum and 30 psi respectively. The discharge gage is 5 ft above the suction gage. If pump efficiency is 70%, what is the motor power in Hp?