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 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?

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 5.8P

See similar textbooks

Related questions

Q: Some students want to visualize flow over a spinning baseball. Their fluids laboratory has a nice…

A: The properties of air at 68⁰F, The density of the air, ρa = 1.204 kg/m3 The dynamic viscosity of the…

Q: For turbulent flow modelling the Navier-Stokes equations and the k- ɛ equations are connected via…

Q: A simply supported beam of diameter D , length L , and modulusof elasticity E is subjected to a…

A: The deflection of the beam is dependent on the given variable as follows: The dimensions of all the…

Q: For your MQP project you are asked to study fluid (wind) flow over the tall cylinder shaped…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: Q.10. To predict the drag on an aircraft at a flight speed of 150 m/s, where the condition of air is…

A: To find: The flow velocity and the scale of the model. Given: The speed of light is up=150 msec. The…

Q: (b) A wind-tunnel experiment is performed on a small 1:5 linear-scale model of a car, in order to…

Q: Consider laminar flow over a flat plate. The boundary layer thickness & grows with distance x down…

Q: The bending stress o in a beam depends upon the bending moment Mand the beam area moment of inertia…

A: It is required to determine dimensionally homogeneous formula for bending stress

Q: A scaled model of a proposed dam is used to predict the flow conditions in the prototype. If the…

A: Given data Lr=50Qp=15000+X00 m3/sVm=1.2 m/sX=8

Q: P1.20 A baseball, with m = 145 g, is thrown directly upward from the initial position z = 0 and V =…

A: For this problem, The weight of the ball, for upward direction motion ∑Fz=-maz-CV2-mg=mdvdt…

Q: •60 Models of torpedoes are sometimes tested in a horizontal pipe of flowing water, much as a wind…

Q: If you disturb a tank of length L and water depth h , thesurface will oscillate back and forth at…

A: (a).

Q: 3. In the study of aerodynamic drag on a stationary body, an appropriate non-dimensional grouping…

Q: When crude oil (r.d = 0.855, µ = 71.8*104 Pa. s) flows in a 50 mm horizontal pipeline at 4.5 m/s, a…

Q: Write the primary dimensions of each of the following variables from the field of solid mechanics,…

A: Part (a) Moment of inertia (I) can be expressed as, Where, ri is the perpendicular distance of the…

Q: A 1:20 scale down model of a hydrofoil is tested in a water channel, at velocity of 0.179 m/s. At…

Q: A model windmill, of diameter 50 cm, develops 2.7 kW at sea level when V = 40 m/s and when rotating…

A: Power generated is a function of:P=fun(D,ρ,V,Ω,n)Dimensional formula is {P}={ML2T-3} Expression…

Q: The power P generated by a certain windmill design depends upon its diameter D, the air density p,…

Q: In an experimental investigation, it is found that the discharge of oil through a pipeline relates…

A: Given Data Q=f(P,r,ρ,μ) f(Q,P,r,ρ,μ)=0 Hence, total no. of variables, n = 5 m=3 n-m=5-3=2 Pi terms…

Q: The viscous torque T produced on a disc rotating in a liquid depends upon the characteristic…

A: T-TorqueD-DiameterN-Rotation Speedδ-Densityμ-Dynamic Viscosity

Q: Dynamic similarity for small-scale modeling of a prototype requires, (a) a known length scale (b)…

A: from buckingham pi theorem we can get a better understanding of the relation of different parameters…

Q: When a liquid in a beaker is stirred, whirlpool will form and there will be an elevation difference…

Q: A blimp is designed to move in air at "C at 7 m/s. If a 1:20 scale model is tested in water at 20…

Q: A tidal estuary is dominated by the semidiurnal lunar tide,with a period of 12.42 h. If a 1 : 500…

A: Given data: The period tidal estuary, Tps = 12.42 h. The model scale, α = 1:500. Calculate the…

Q: The Stokes number, St, used in particle-dynamics studies is a dimensionless combination of 5…

Q: When a liquid in a beaker is stirred, whirlpool will form and there will be an elevation difference…

Q: 05: A prototype ship is 35 m long and designed to cruise at 11 m/s. Its drag is to be simulated by a…

Q: A stirrer is used to mix chemicals in a tank let tank diameter Dtank and average liquid depth htank.…

A: The give parameters are: The given relationship is The number of variables is 5, and the number of…

Q: A 1:20 scaled-down model of a hydrofoil is tested in a water channel, at a velocity of 0.179 m/s. At…

Q: A student team is to design a submarine for a design competition. The overall length of the…

A: Given Data: Length of prototype, LP=4.85 m Model scale, 1/5

Q: A paramecium is an elongated unicellular organism with approximately 50 μmin diameters and 150 μmin…

A: Given : D = 70μm P = 2 PW To find : Swimming speed

Q: A student needs to measure the drag on a prototype of characteristic length d, moving at velocity U,…

A: For solution refer below images.

Q: A2) In order to solve the dimensional analysis problem involving shallow water wave as in Figure 2,…

Q: 6.10 A sphere advancing at 1.5 m/s in a stationary mass of water experiences a drag of 4.5 N. Find…

A: To find : The flow velocity and drag. Given: For sphere 1, The velocity of water flow is vw=1.5 ms.…

Q: A one-fiftieth-scale model of a military airplane is tested at1020 m/s in a wind tunnel at sea-level…

Q: For your MQP project you are asked to study fluid (wind) flow over the tall cylinder shaped…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: A wind tunnel is used to measure the pressure distribution in the airflow over an airplane model.…

A: It is given that the fluid is incompressible and the effect of gravitation can also be neglected in…

Q: An underwater device which is 2m long is to be moved at 4 m/sec. If a geometrically similar model 40…

A: By pressure modelling - PprototypePmodel= ρV2prototypeρV2modelPatmPmodel=…

Q: 7.14 In a 1:40 model of the flow over the crest of a spillway the velocity at a particular point is…

Q: The drag of a sonar transducer is to be predicted, based on wind (Air) tunnel test data, The…

Q: A prototype ocean platform piling is expected to encountercurrents of 150 cm/s and waves of 12-s…

A: Given: The current speed of the prototype is Vp=150 cm/s. The wave period of the prototype is Tp=12…

Q: Force F is applied at the tip of a cantilever beam of length L and moment of inertia I Fig. . The…

A: There are five parameters that are listed below with dimensions, Force (F)- MLT-2 Length (L)- L…

Q: A tanker 300 m long is to be tested by a 1:50 scale model. If the ship is to travel at 46 km/h, at…

A: Given data: The length of the tank is l=300 m The scale model is LpLm=150 The travel speed is vp=46…

Q: A one-fifth scale model of a water turbine is tested in a laboratory at T = 20°C. The diameter of…

A: Given H = 15 m , Q = 17 m3/hr = 173600 m3/sN = 1500 rpmP = 450 wattat 20°C( For water ) → S = 998…

Q: 2 A prototype car is designed for cold weather operation in Denver (-10°C, 83 kPa, altitude 1600m, µ…

A: Given DataTP=-10°C=263KPp=83000PaμP=1.741×10-5Pas

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Ship whose full length is 100 m is to travel at 10 m/sec. For dynamical similarity, with what velocity should a 1:25 model of the ship be towed?
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
Fluid mechanics (Subject) Write legibly and sole neatly, show diagrams A surface vessel is 156 m long and moves at a velocity of 6.83 m/s. Determine the velocity of a geometrically similar model 2.44 m long be tested.a. velocity : ____________________ m/s
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 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?
1:25 scale model of a submarine is tested at 180 ft/s in a wind tunnel using sea-level standard air. What is the prototype speed in seawater at 20°C for dynamic similarity? If the model drag is 1.6lb, what is the prototype drag?
A tidal estuary is dominated by the semidiurnal lunar tide,with a period of 12.42 h. If a 1 : 500 model of the estuary istested, what should be the model tidal period?( a ) 4.0 s, ( b ) 1.5 min, ( c ) 17 min, ( d ) 33 min, ( e ) 64 min
Please solve this problem, Thank you very much! Figure is attached 1. liquids in rotating cylinders rotates as a rigid body and considered at rest. The elevation difference h between the center of the liquid surface and the rim of the liquid surface is a function of angular velocity ?, fluid density ?, gravitational acceleration ?, and radius ?. Use the method of repeating variables to find a dimensionless relationship between the parameters. Show all the steps.
List and describe the three necessary conditions for complete similarity between a model and a prototype.
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.
How can I use dimensional analysis to show that in this problem both Froude's number and Reynold's number are relevant dimensionless parameters? Problem: Here shallow waves move at speed c. The surface of the waves is a function depth (h), gravitational accelaration is g, densisty is p and fluid viscosity is μ. I need to get the parameter in the form in the image. Please help :)
The Stokes number, St, used in particle dynamics studies,is a dimensionless combination of five variables: accelerationof gravity g , viscosity μ , density ρ , particle velocity U ,and particle diameter D . ( a ) If St is proportional to μand inversely proportional to g , find its form . ( b ) Showthat St is actually the quotient of two more traditionaldimensionless groups.