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Similitude is achieved when testing conditions are created such that the test results are applicable to the real design. The three conditions required for a model to have similitude with an application. The following criteria are required to achieve similitude; Geometric similarity – the model is the same shape as the application, usually scaled.
A similarity (also called a similarity transformation or similitude) of a Euclidean space is a bijection f from the space onto itself that multiplies all distances by the same positive real number r, so that for any two points x and y we have ((), ()) = (,), where d(x,y) is the Euclidean distance from x to y. [16]
In fluid mechanics, dynamic similarity is the phenomenon that when there are two geometrically similar vessels (same shape, different sizes) with the same boundary conditions (e.g., no-slip, center-line velocity) and the same Reynolds and Womersley numbers, then the fluid flows will be identical.
Similitude (model), in engineering, describing the geometric, kinematic and dynamic 'likeness' of two or more systems; Similarity (psychology) Similarity (philosophy) Similarity (signal processing) Musical similarity; Chemical similarity; Similarity (network science) Structural similarity; Similar, an upcoming South Korean film
Figure 1: The point O is an external homothetic center for the two triangles. The size of each figure is proportional to its distance from the homothetic center. In geometry, a homothetic center (also called a center of similarity or a center of similitude) is a point from which at least two geometrically similar figures can be seen as a dilation or contraction of one another.
Similarity is an equivalence relation on the space of square matrices. Because matrices are similar if and only if they represent the same linear operator with respect to (possibly) different bases, similar matrices share all properties of their shared underlying operator: Rank; Characteristic polynomial, and attributes that can be derived from it:
In fluid mechanics, kinematic similarity is described as “the velocity at any point in the model flow is proportional by a constant scale factor to the velocity at the same point in the prototype flow, while it is maintaining the flow’s streamline shape.” [1] Kinematic Similarity is one of the three essential conditions (Geometric Similarity, Dynamic Similarity and Kinematic Similarity ...
In statistics and related fields, a similarity measure or similarity function or similarity metric is a real-valued function that quantifies the similarity between two objects. Although no single definition of a similarity exists, usually such measures are in some sense the inverse of distance metrics : they take on large values for similar ...