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Growth of a vapour film at a rapidly heated plane surface

โœ Scribed by T.D. Hamill; S.G. Bankoff

Publisher
Elsevier Science
Year
1963
Tongue
English
Weight
461 KB
Volume
18
Category
Article
ISSN
0009-2509

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โœฆ Synopsis

An apparently new similarity transformation is presented for a class of extended onedimensional Stefan problems involving phase density variations, such as vaporization of liquid at the surface of a rapidly-heated plate: After transforming to Lagrangian coordinates, a similarity variable is introduced, and appropriate initial and boundary conditions deduced. The resulting ordinary differential equation is numerically integrated, and is also solved by a method of successive approximations after conversion into a non-linear Volterra integral equation. Solutions are presented for both saturated and subcooled initial liquid temperatures.

๐Ÿ“œ SIMILAR VOLUMES

Maximum and minimum bounds for the growt
Maximum and minimum bounds for the growth of a vapour film at the surface of a rapidly heated plate
โœ T.D. Hamill; S.G. Bankoff ๐Ÿ“‚ Article ๐Ÿ“… 1964 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 231 KB

Lagrangian transformation introduced in an earlier paper is here employed to give upper and lower bounds for the growth of a vapour film at the surface of a plate subjected to a monotonic, but otherwise arbitrary, surface temperature or heat flux condition.

Dewetting of a Heated Surface by an Evap
Dewetting of a Heated Surface by an Evaporating Liquid Film under Conjoining/Disjoining Pressures
โœ Alexander Oron; S.George Bankoff ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 196 KB

In the present work we consider a model for the evolution of a thin nonpolar liquid film on a coated solid surface under the action of attractive and repulsive molecular forces governed by a 3-4 power-law potential, rather than the Lennard-Jones 3-9 potential employed for an ideal plane interface (m