⌚ Similitudes Analysis

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Similitudes Analysis



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Using Similitude to Scale from Model to Prototype

The story of the Tribute Money is told in three separate scenes within the same fresco. This way of telling an entire story in one painting is called a continuous narrative. Take the first fish you catch; open its mouth and you will find a four-drachma coin. Take it and give it to them for my tax and yours. These two things are shown in the same image, even though they happen at different moments. Thus, in the center of the fresco scene 1 , we see the tax collector demanding the money, and Christ instructing Peter. On the far left scene 2 , we see Peter kneeling down and removing money from the mouth of a fish, and on the far right scene 3 , St.

Peter pays the tax collector. In the fresco, the tax collector appears twice, and St. Peter appears three times you can find them easily if you look for their clothing. We are so used to one moment appearing in one frame think of a comic book, for example that the unfolding of the story within one image and out of order! But with this technique, which was also used by the ancient Romans, Masaccio is able to make an entire drama unfold on the wall of the Brancacci chapel. In the central, first scene, the tax collector points down with his right hand, and holds his left palm open, impatiently insisting on the money from Christ and the apostles. He stands with his back to us, which creates the illusion of three dimensional space in the image.

Mark from Orsanmichele in Florence, he stands naturally, in contrapposto, with his weight on his left leg, and his right knee bent. Peter wearing a large deep orange colored toga draped over a blue shirt is confused, as he seems to be questioning Christ and pointing over to the river, but he also looks like he is willing to believe Christ. The gestures really help to tell the story.

Peter seems confused. Christ is saying, go to the lake and get the money from the mouth of a fish to pay the tax collector, and Peter looks like he is in total disbelief. Similitude has been well documented for a large number of engineering problems and is the basis of many textbook formulas and dimensionless quantities. These formulas and quantities are easy to use without having to repeat the laborious task of dimensional analysis and formula derivation.

Simplification of the formulas by neglecting some aspects of similitude is common, and needs to be reviewed by the engineer for each application. Similitude can be used to predict the performance of a new design based on data from an existing, similar design. In this case, the model is the existing design. Another use of similitude and models is in validation of computer simulations with the ultimate goal of eliminating the need for physical models altogether. Another application of similitude is to replace the operating fluid with a different test fluid. Wind tunnels, for example, have trouble with air liquefying in certain conditions so helium is sometimes used.

Other applications may operate in dangerous or expensive fluids so the testing is carried out in a more convenient substitute. Similitude analysis is a powerful engineering tool to design the scaled-down structures. Although both dimensional analysis and direct use of the governing equations may be used to derive the scaling laws, the latter results in more specific scaling laws.

However, the design of a scaled-down structure which is perfectly similar to its prototype has the practical limitation, especially for laminated structures. Relaxing some of the scaling laws may eliminate the limitation of the design under complete similarity condition and yields the scaled models that are partially similar to their prototype. However, the design of the scaled structures under the partial similarity condition must follow a deliberate methodology to ensure the accuracy of the scaled structure in predicting the structural response of the prototype. However, appropriate response scaling laws need to be derived to predict the dynamic response of the full-scale prototype from the experimental data of the scaled model.

From Wikipedia, the free encyclopedia. Redirected from Similitude model. Concept applicable to the testing of engineering models. For other uses, see Similitude disambiguation. This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. See also: List of dimensionless numbers. Simitses, and J.

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Reynolds number , pressure coefficient , Froude number and Weber number for open channel hydraulics.

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