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The frequency at which vortex shedding takes place for a cylinder is related to the Strouhal number by the following equation: = Where is the dimensionless Strouhal number, is the vortex shedding frequency (Hz), is the diameter of the cylinder (m), and is the flow velocity (m/s).
Wilson Bentley micrograph showing two classes of snowflake, plate and column. Missing is an example of a needle. The shape of a snowflake is determined primarily by the temperature and humidity at which it is formed. [8] Freezing air down to −3 °C (27 °F) promotes planar crystals (thin and flat).
Rapidity is the value of artanh(v / c) for velocity v and speed of light c. In special relativity, the classical concept of velocity is converted to rapidity to accommodate the limit determined by the speed of light. Velocities must be combined by Einstein's velocity-addition formula. For low speeds, rapidity and velocity are almost exactly ...
Soap bubbles are physical examples of the complex mathematical problem of minimal surface. They will assume the shape of least surface area possible containing a given volume. A true minimal surface is more properly illustrated by a soap film, which has equal pressure on both sides, becoming a surface with zero mean curvature.
Intuitively the ratio measures the steepness of the strokes, viewed from the side (e.g., assuming movement through a stationary fluid) – f is the stroke frequency, A is the amplitude, so the numerator fA is half the vertical speed of the wing tip, while the denominator V is the horizontal speed. Thus the graph of the wing tip forms an ...
Intrinsic variables, whose luminosity actually changes periodically; for example, because the star swells and shrinks. Extrinsic variables, whose apparent changes in brightness are due to changes in the amount of their light that can reach Earth; for example, because the star has an orbiting companion that sometimes eclipses it.
Diffusion is a stochastic process due to the inherent randomness of the diffusing entity and can be used to model many real-life stochastic scenarios. Therefore, diffusion and the corresponding mathematical models are used in several fields beyond physics, such as statistics , probability theory , information theory , neural networks , finance ...
The shape parameter, k, is that power plus one, and so this parameter can be interpreted directly as follows: [6] A value of k < 1 {\displaystyle k<1\,} indicates that the failure rate decreases over time (like in case of the Lindy effect , which however corresponds to Pareto distributions [ 7 ] rather than Weibull distributions).