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Hele-Shaw flow is defined as flow taking place between two parallel flat plates separated by a narrow gap satisfying certain conditions, named after Henry Selby Hele-Shaw, who studied the problem in 1898. [1] [2] Various problems in fluid mechanics can be approximated to Hele-Shaw flows and thus the research of these flows is of importance ...
This photo of Henry Selby Hele-Shaw appeared in Page's Magazine, August 1902.. Henry Selby Hele-Shaw FRS [1] (1854–1941) was an English mechanical and automobile engineer. He was the inventor of the variable-pitch propeller, which contributed to British success in the Battle of Britain in 1940, [citation needed] and he experimented with flows through thin cells.
The lowest pressure at which He-I and He-II can coexist is the vapor−He-I−He-II triple point at 2.1768 K (−270.9732 °C) and 5.0418 kPa (0.049759 atm), which is the "saturated vapor pressure" at that temperature (pure helium gas in thermal equilibrium over the liquid surface, in a hermetic container). [1]
This list is sorted by boiling point of gases in ascending order, but can be sorted on different values. "sub" and "triple" refer to the sublimation point and the triple point, which are given in the case of a substance that sublimes at 1 atm; "dec" refers to decomposition. "~" means approximately. Blue type items have an article available by ...
The simplest case of the instability arises at a planar interface within a porous medium or Hele-Shaw cell, and was treated by Saffman and Taylor [1] but also earlier by other authors. [6] A fluid of viscosity μ 1 {\displaystyle \mu _{1}} is driven in the x {\displaystyle x} -direction into another fluid of viscosity μ 2 {\displaystyle \mu ...
An ideal gas is a theoretical gas composed of many randomly moving point particles that are not subject to interparticle interactions. [1] The ideal gas concept is useful because it obeys the ideal gas law , a simplified equation of state , and is amenable to analysis under statistical mechanics .
Points on the hyperboloid surface (the "shell") are solutions to the equation. Mass shell is a synonym for mass hyperboloid, meaning the hyperboloid in energy–momentum space describing the solutions to the equation:
The mathematical similarities between the expressions for shear viscocity, thermal conductivity and diffusion coefficient of the ideal (dilute) gas is not a coincidence; It is a direct result of the Onsager reciprocal relations (i.e. the detailed balance of the reversible dynamics of the particles), when applied to the convection (matter flow ...