I need the answer as soon as possible problem:A ship of (120 m) long moves through a fresh water (p = 1000 Kg/m³, u = 1.14*103 Pa.s)at a speed of 32 km/hr. A (1:100) model of this ship is to be tested in a towing basin(laboratory) containing a liquid of relative density 0.92. For complete dynamic similaritybetween model and prototype, calculate the following:1. The velocity of the model,2. The viscosity must the liquid (model) have,3. What drag force on the ship corresponds to a model drag of (9 N).

For complete dynamic similarity, the Reynolds number and Froude number are matched. The Reynolds…

Answered: problem: A ship of (120 m) long moves…

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.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.70P

See similar textbooks

Similar questions

A prototype automobile is designed for cold weather inDenver, CO ( - 10 ° C, 83 kPa). Its drag force is tobe tested on a one-seventh-scale model in a wind tunnelat 150 mi/h, 20 ° C, and 1 atm. If the model and prototypeare to satisfy dynamic similarity, what prototypevelocity, in mi/h, needs to be matched? Comment onyour result.
A tiny aerosol particle of density ?p and characteristic diameter Dp falls in air of density ? and viscosity ?. If the particle is small enough, the creeping flow approximation is valid, and the terminal settling speed of the particle V depends only on Dp, ? , gravitational constant g, and the density difference (?p − ? ). Use dimensional analysis to generate a relationship for V as a function of the independent variables. Name any established dimensionless parameters that appear in your analysis.
The Keystone Pipeline opener photo hasD = 36 in. and an oil flow rate Q = 590,000 barrels per day(1 barrel = 42 U.S. gallons). Its pressure drop per unitlength, ∆p/L , depends on the fluid density ρ , viscosity μ ,diameter D , and flow rate Q . A water-fl ow model test, at20 ° C, uses a 5-cm-diameter pipe and yields ∆ p/L ≈ 4000Pa/m. For dynamic similarity, estimate ∆ p/L of the pipeline.For the oil take ρ = 860 kg/m 3 and μ = 0.005 kg/m . s.
Characteristics of a small underwater craft are studied under dynamic similarity conditions in a variable density wind tunnel on a model scale of 1:12. What prototype speed and power are indicated by model values of 100 m/s of velocity and 30 N of drag force? The model is operated at a density of 7.6 kg/m3.Take viscosity of air and water are 2.17 x 10-5 N.s/m2 and 1 x 10-3N.s/m2 respectively.
Q.10. To predict the drag on an aircraft at a flight speed of 150 m/s, where the condition of air is such that the local speed of sound is 310 m/s, a pressurized low temperature tunnel is used. Density, viscosity and local sonic velocity at tunnel condition are 7.5 kg/m³, 1.22 x 10-5 Ns/m² and 290 m/s. Determine the flow velocity and the scale of the model. Assume full dynamic similarity should be maintained. Density and viscosity at the operating conditions are 1.2 kg/m³ and 1.8 x 10 Ns/m².
The thrust F of a propeller is generally thought to be afunction of its diameter D and angular velocity V , the forwardspeed V , and the density ρ and viscosity μ of the fl uid.Rewrite this relationship as a dimensionless function.
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?
Consider liquid flow of density ρ , viscosity μ , and velocityU over a very small model spillway of length scale L ,such that the liquid surface tension coefficient Y is important.The quantity ρ U 2 L / Y, in this case, is important and iscalled the( a ) capillary rise, ( b ) Froude number, ( c ) Prandtl number,( d ) Weber number, ( e ) Bond number
A one-fiftieth-scale model of a military airplane is tested at1020 m/s in a wind tunnel at sea-level conditions. Themodel wing area is 180 cm 2 . The angle of attack is 3 ° . If themeasured model lift is 860 N, what is the prototype lift,using Mach number scaling, when it flies at 10,000 m standardaltitude under dynamically similar conditions? Note:Be careful with the area scaling.
A paramecium is an elongated unicellular organism with approximately 50 μmin diameters and 150 μmin lengths. It swims through water by whip-like movements of cilia, small hairs on the outside of its body. Because it moves "head first" through the water, drag is determined primarily by its diameter and only secondarily by its length, so it's reasonable to model the paramecium as a 70-μm diameter sphere. A paramecium uses 2.0 PW of locomotive power to propel itself through 20∘C water, where 1 pW = 1 picowatt = 10−12W. What is its swimming speed in μm/s? Express your answer in micrometers per second.
The power P generated by a certain windmill design dependson its diameter D , the air density ρ , the wind velocity V , therotation rate Ω , and the number of blades n . ( a ) Write this relationship in dimensionless form. A model windmill, of diameter50 cm, develops 2.7 kW at sea level when V = 40 m/s andwhen rotating at 4800 r/min. ( b ) What power will be developedby a geometrically and dynamically similar prototype, ofdiameter 5 m, in winds of 12 m/s at 2000 m standard altitude?( c ) What is the appropriate rotation rate of the prototype?
In studying sand transport by ocean waves, A. Shields in1936 postulated that the threshold wave-induced bottomshear stress τ required to move particles depends on gravityg , particle size d and density ρ p , and water density ρ andviscosity μ . Find suitable dimensionless groups of thisthe problem, which resulted in 1936 in the celebrated Shieldssand transport diagram.

SEE MORE QUESTIONS

Recommended textbooks for you

Principles of Heat Transfer (Activate Learning wi…

Mechanical Engineering

ISBN:

9781305387102

Author:

Kreith, Frank; Manglik, Raj M.

Publisher:

Cengage Learning