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The shallow-water equations (SWE) are a set of hyperbolic partial differential equations (or parabolic if viscous shear is considered) that describe the flow below a pressure surface in a fluid (sometimes, but not necessarily, a free surface). [1] The shallow-water equations in unidirectional form are also called (de) Saint-Venant equations ...
The area density (also known as areal density, surface density, superficial density, areic density, mass thickness, column density, or density thickness) of a two-dimensional object is calculated as the mass per unit area. The SI derived unit is the " kilogram per square metre " (kg·m −2). In the paper and fabric industries, it is called ...
In fluid dynamics, Sauter mean diameter (SMD) is an average measure of particle size. It was originally developed by German scientist Josef Sauter in the late 1920s. [1][2] It is defined as the diameter of a sphere that has the same volume/surface area ratio as a particle of interest. Several methods have been devised to obtain a good estimate ...
Spherical mean. The spherical mean of a function (shown in red) is the average of the values (top, in blue) with on a "sphere" of given radius around a given point (bottom, in blue). In mathematics, the spherical mean of a function around a point is the average of all values of that function on a sphere of given radius centered at that point.
A phase diagram in physical chemistry, engineering, mineralogy, and materials science is a type of chart used to show conditions (pressure, temperature, etc.) at which thermodynamically distinct phases (such as solid, liquid or gaseous states) occur and coexist at equilibrium.
The surface-area-to-volume ratio or surface-to-volume ratio (denoted as SA:V, SA/V, or sa/vol) is the ratio between surface area and volume of an object or collection of objects. SA:V is an important concept in science and engineering. It is used to explain the relation between structure and function in processes occurring through the surface ...
In calculus, and especially multivariable calculus, the mean of a function is loosely defined as the average value of the function over its domain. In one variable, the mean of a function f (x) over the interval (a, b) is defined by: [1] {\displaystyle {\bar {f}}= {\frac {1} {b-a}}\int _ {a}^ {b}f (x)\,dx.} Recall that a defining property of ...
Family members and police asked for help Monday to find a newborn baby with a heart condition and her young mother, who disappeared Sunday in the East Los Angeles area. Fourteen-year-old Amoria ...