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In fluid mechanics, Kelvin's circulation theorem (named after William Thomson, 1st Baron Kelvin who published it in 1869) states: [1][2] In a barotropic, ideal fluid with conservative body forces, the circulation around a closed curve (which encloses the same fluid elements) moving with the fluid remains constant with time. Stated mathematically:
The original form of the Kelvin equation, published in 1871, is: [1] where: = vapor pressure at a curved interface of radius. = vapor pressure at flat interface ( ) =. = surface tension. = density of vapor. = density of liquid. , = radii of curvature along the principal sections of the curved interface. This may be written in the following form ...
Change of acceleration per unit time: the third time derivative of position m/s 3: L T −3: vector Jounce (or snap) s →: Change of jerk per unit time: the fourth time derivative of position m/s 4: L T −4: vector Magnetic field strength: H: Strength of a magnetic field A/m L −1 I: vector field Magnetic flux density: B: Measure for the ...
Kelvin and his brother James Thomson confirmed the relation experimentally in 1849–50, and it was historically important as a very early successful application of theoretical thermodynamics. [5] Its relevance to meteorology and climatology is the increase of the water-holding capacity of the atmosphere by about 7% for every 1 °C (1.8 °F ...
The 19th century British scientist Lord Kelvin first developed and proposed the scale. [5] It was often called the "absolute Celsius" scale in the early 20th century. [6] The kelvin was formally added to the International System of Units in 1954, defining 273.16 K to be the triple point of water.
Blacksmiths work iron when it is hot enough to emit plainly visible thermal radiation. The color of a star is determined by its temperature, according to Wien's law. In the constellation of Orion, one can compare Betelgeuse (T ≈ 3800 K, upper left), Rigel (T = 12100 K, bottom right), Bellatrix (T = 22000 K, upper right), and Mintaka (T = 31800 K, rightmost of the 3 "belt stars" in the middle).
Supercritical ethane, fluid. [1] In thermodynamics, a critical point (or critical state) is the end point of a phase equilibrium curve. One example is the liquid–vapor critical point, the end point of the pressure–temperature curve that designates conditions under which a liquid and its vapor can coexist. At higher temperatures, the gas ...
Kelvin functions. In applied mathematics, the Kelvin functions ber ν (x) and bei ν (x) are the real and imaginary parts, respectively, of. where x is real, and Jν(z), is the νth order Bessel function of the first kind. Similarly, the functions ker ν (x) and kei ν (x) are the real and imaginary parts, respectively, of.