List and describe the three necessary conditions for complete similarity between a model and a prototype.
Q: (a) Discuses three necessary conditions for complete similarity between a model and a prototype in…
A: a. A model and a prototype complete similarity is depicted by considering following three…
Q: dimensionless
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Q: 1. Explain the three necessary conditions which must be met in order to achieve complete similarity…
A: The necessary condition which must be met in order to achieve similarity between a model and a…
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Q: Ship whose full length is 100 m is to travel at 10 m/sec. For dynamical similarity, with what…
A: Given data: Lm=100 mVm=10 m/sLp=10025=4 m Need to determine the velocity.
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Q: A fighter aireraft is to operate at 200 m/s in air at standard conditions (p = 1.2 kg/m³). A model…
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Q: problem: A ship of (120 m) long moves through a fresh water (p = 1000 Kg/m³, µ = 1.14*103 Pa.s) at a…
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Q: Although we usually think of a model as being smaller than the prototype, describe at least three…
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A: For solution refer below images.
Q: External Problem 1: Dimensional analysis and similarity A fighter aireraft is to operate at 200 m/s…
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List and describe the three necessary conditions for complete similarity between a model and a prototype.
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- 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.5.13 The torque due to the frictional resistance of the oil film between a rotating shaft and its bearing is found to be dependent on the force F normal to the shaft, the speed of rotation N of the shaft, the dynamic viscosity of the oil, and the shaft diameter D. Establish a correlation among these variables by using dimensional analysis.Give Justification for performing a geometrically scaled model rather than the full-scale prototype in the technique of dimensional analysis and similarity.
- 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?Although we usually think of a model as being smaller than the prototype, describe at least three situations in which it is better for the model to be larger than the prototype.List the three primary purposes of dimensional analysis.
- Using primary dimensions, verify that the Grashof number is indeed dimensionless.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?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
- 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 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.The output power W. of a spinning shaft is a function of torque T and angular velocity ? . Use dimensional analysis to express the relationship between W., T, and ? in dimensionless form. Compare your result to what you know from physics and discuss briefly