A wave-energy harvester is to be built off the north shore of Honolulu (seawater at20°C) where the average wave speed is V = 15 m/s. The size of the prototype deviceis characterized by its height HLaboratory water tank (fresh water at 20°C) where the wave speed is 5 m/s (shallowwater wave speed is only a function of depth).6 m. A model is to be tested in the Davidson(a)express the predicted power generated W as a function of density p, height H, wavespeed V, and gravity g.(b)similarity.(c)output.Derive a set of dimensionless parameters using the Pi theorm that willDetermine the height of the laboratory model device to ensure dynamicIf the model produces 6.85 kW, determine the expected prototype power

Answered: Image /qna-images/answer/8ece8f89-33f7-4ba4-88de-8df6650b475f.jpg

A wave-energy harvester is to be built off the north shore of Honolulu (seawater at 20°C) where the average wave speed is V = 15 m/s. The size of the prototype device is characterized by its height H = 6 m. A model is to be tested in the Davidson Laboratory water tank (fresh water at 20°C) where the wave speed is 5 m/s (shallow water wave speed is only a function of depth). (a) express the predicted power generated W as a function of density p, height H, wave speed V, and gravity g. (b) similarity. (c) output. Derive a set of dimensionless parameters using the Pi theorm that will Determine the height of the laboratory model device to ensure dynamic If the model produces 6.85 kW, determine the expected prototype power

A wave-energy harvester is to be built off the north shore of Honolulu (seawater at 20°C) where the average wave speed is V = 15 m/s. The size of the prototype device is characterized by its height H = 6 m. A model is to be tested in the Davidson Laboratory water tank (fresh water at 20°C) where the wave speed is 5 m/s (shallow water wave speed is only a function of depth). (a) express the predicted power generated W as a function of density p, height H, wave speed V, and gravity g. (b) similarity. (c) output. Derive a set of dimensionless parameters using the Pi theorm that will Determine the height of the laboratory model device to ensure dynamic If the model produces 6.85 kW, determine the expected prototype power

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter6: Forced Convection Over Exterior Surfaces

Section: Chapter Questions

Problem 6.32P

See similar textbooks

Similar questions

When a sphere falls freely through a homogeneous fluid, it reaches a terminal velocity at which the weight of the sphere is balanced by the buoyant force and the frictional resistance of the fluid. Make a dimensional analysis of this problem and indicate how experimental data for this problem could be correlated. Neglect compressibility effects and the influence of surface roughness.
A prototype ocean platform piling is expected to encountercurrents of 150 cm/s and waves of 12-s period and 3-mheight. If a one-fifteenth-scale model is tested in a wavethe channel, what current speed, wave period, and wave heightshould be encountered by the model?
A 1:7 scale model simulates the operation of alarge turbine that is to generate 200 kW with a flowrate of 1.5 m3/s.What flow rate should be used inthe model, and what power output is expected?(a) Water at the same temperature is used in bothmodel and prototype.(b) The model water is at 25°C and the prototypewater is at 10°C.
A 1:30 scale model of a cavitating overflow structure is to be tested in a vacuum tank wherein the pressure is maintained at 140 kPa. The prototype liquid is water at 20°C. The barometric pressure on the prototype is 100 kPa. If the liquid to be used in the model has an absolute vapor pressure of 10.0 kPa, what values of density, viscosity, and surface tension must it have for complete dynamic similarity between model and prototype?
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?
A 1:30 model of a ship is made. The real ship has a hull length of 130 m and travels at 7.9 m/s. Find the fraude number. If there is a dynamic similarity and froude # criterion applies, what should the velocity of the mdoel ship be?
A one-fortieth-scale model of a ship’s propeller is tested in atow tank at 1200 r/min and exhibits a power output of 1.4ft . lbf/s. According to Froude scaling laws, what should therevolutions per minute and horsepower output of the prototypepropeller be under dynamically similar conditions?
A sphere is moving in water with a velocity of 1.6 m/s. Another sphere of twice the diameter is placed in a wind tunnel and tested with air which is 750 times less dense and 60 times less viscous (dynamically) than water. The velocity of air that will model dynamically similar conditions is
A wind tunnel is used to measure the pressure distribution in the airflow over an airplane model. The air speed in the wind tunnel is low enough that compressible effects are negligible. The Bernoulli equation approximation is valid in such a flow situation everywhere except very close to the body surface or wind tunnel wall surfaces and in the wake region behind the model. Far away from the model, the air flows at speed V∞ and pressure P∞, and the air density ? is approximately constant. Gravitational effects are generally negligible in airflows, so we write the Bernoulli equation asP + 1/2 ρV2 = P∞ + 1/2 ρV2∞ Nondimensionalize the equation, and generate an expression for the pressure coefficient Cp at any point in the flow where the Bernoulli equation is valid. Cp is defined as Cp = P−P∞/1/2ρV2
A new implantable drug delivery device is being developed in your lab. The device prototype is a very thin strip (0.1mm × 1mm × 15mm) of polymer coated on both sides with 22 milligrams of solid drug particles. To test the drug delivery profile, you "implant the device by suspending it in a homogenous model fluid that has following properties: viscosity = 0.0018 Pa.s, density = 1.32 g cm^-3, temperature = 37°C. The diffusivity of the drug is estimated to be 2.113×10^-6 cm^2/S. 1. Determine how far the drug would penetrate into the fluid in 2.2 hours.
The power P generated by a certain windmill design depends upon its diameter D, the air density ρ, the wind velocity V, the rotation rate Ω, and the number of blades n. A model windmill, of diameter 50 cm, develops 2.7 kW at sea level when V = 40 m/s and when rotating at 4800 rev/min. What power will be developed by a geometrically and dynamically similar prototype, of diameter 5 m, in winds of 10 m/s at 2000 m standard altitude? At 2000 m altitude, ρ = 1.0067 kg/m3. At sea level, ρ = 1.2255 kg/m3. A model windmill, of diameter 50 cm, develops 2.7 kW at sea level when V = 40 m/s and when rotating at 4800 rev/min. What is the appropriate rotation rate of a geometrically and dynamically similar prototype, of diameter 5 m, in winds of 10 m/s at 2000 m standard altitude?
Here, a 1:10 scale prototype of a propeller on a ship is to be tested in a water channel. What would the rotating speed of the model be if the rotational speed of the p propeller is 2000 rpm, and if: (a) the Froude number governs the model-prototype similarity(b) Reynolds number governs the similarity