The Stefan condition expresses the local velocity of a moving boundary, as a function of quantities evaluated at both sides of the phase boundary, and is usually derived from a physical constraint.
22.
In certain cases, the solutions are obtained for boundary conditions such as constant source concentration diffusion, limited source concentration, or moving boundary diffusion ( where junction depth keeps moving into the substrate ).
23.
By the late 1940s, new electrophoresis methods were beginning to address some of the shortcomings of the moving boundary electrophoresis of the Tiselius apparatus, which was not capable of completely separating electrophoretically similar compounds.
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The notation allows moving boundary conditions of summations ( or integrals ) as a separate factor into the summand, freeing up space around the summation operator, but more importantly allowing it to be manipulated algebraically.
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He pioneered the study of diffusion-controlled moving boundary problems in the 1970s his involvement centring on models for phase changes and elastic contact problems all built around the paradigm of the Hele-Shaw free boundary problem.
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Methods of optical detection of moving boundaries in liquids had been developed by August Toepler in the 1860s; Toepler measured the schlieren ( " shadows " ) or slight variations in optical properties that in inhomogeneous solutions.
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He accuses Cohnen of violating a verse in Deuteronomy that has to do with moving boundary markers, but has been interpreted by some rabbis as barring one Jew from opening a business that directly injures another Jew.
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In January 2006, the Park Logistics Coordinator was fired for moving boundary markers while employed as the Park Conservation Agent and selling the of park land to a local farmer for 2 million Malagasy francs ( ~ ).
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Recent decades have witnessed a research boom on the meshfree numerical PDE techniques since the construction of a mesh in the standard finite element method and boundary element method is not trivial especially for moving boundary, and higher-dimensional problems.
30.
For millions of years the Sierra range has been rising upward, and at the same time the San Andreas has formed a moving boundary between two great slabs of the earth's crust-- the Pacific Plate on the west and the Continental Plate on the east.
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