Instabilities in a liquid film flow over an inclined heated porous substrate

Title
Instabilities in a liquid film flow over an inclined heated porous substrate
Author(s)
주상우리즈완[리즈완]우샤[우샤]
Keywords
THERMOCAPILLARY LONG WAVES; VISCOUS FALLING FILMS; LINEAR-STABILITY; FLUID-FLOW; PLANE; EVOLUTION; WALL
Issue Date
201008
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Citation
CHEMICAL ENGINEERING SCIENCE, v.65, no.15, pp.4443 - 4459
Abstract
Stability of a thin viscous Newtonian fluid draining down a uniformly heated porous inclined plane is examined. The long-wave linear stability analysis is performed with in the generic Orr-Sommerfeld framework both theoretically and numerically. An evolution equation for the local film thickness for two-dimensional disturbances is derived to analyze the effect of long-wave instabilities. The parameters governing the film flow system and the porous substrate strongly influence the wave forms and their amplitude sand hence the stability of the fluid. The long-time waveforms are either time-independent wave forms that propagate or time-dependent modes that oscillates lightly in the amplitude. The role of permeability and Marangoni number is to increase the amplitude of the disturbance leading to the destabilization state of the film flow system. The permeability of the porous medium promotes the oscillatory behavior. (C) 2010 Elsevier Ltd. All rights reserved.
URI
http://hdl.handle.net/YU.REPOSITORY/23821http://dx.doi.org/10.1016/j.ces.2010.04.005
ISSN
0009-2509
Appears in Collections:
공과대학 > 기계공학부 > Articles
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