Stability Analysis of Natural Convection Evolving Along a Vertical Heated Plate : Classical Phenomenology and Applications
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概要
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Natural convection evolving along a vertical flat plate is considered under (i) isothermal and (ii) uniform-heat-flux plate boundary conditions. Basic flow is assumed to be governed by steady boundary-layer equations. Linear and weakly-nonlinear stability analyses of the basic flow are made with the aid of the Galerkin method in which the field variables are expanded in terms of Chebyshev polynomials. The Stewartson-Stuart equation for the two-dimensional propagating disturbance is derived and its stability is examined for the cases of the Prandtl number Pr = 0.733 (air) and Pr = 6.7 (water). The main results are such that (i) the motion is supercritical over almost all the linearly unstable region except for a narrow boundary region defined by small wavenumbers; (ii) Huerre's criterion shows that the motion is convectively unstable along the most highly amplified path over the whole computed range of the Reynolds number; (iii) Newell's criterion shows that the motion tends to be modulationally unstable at lower values of the Reynolds number especially in air.
- 社団法人日本物理学会の論文
- 2001-01-15
著者
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Yahata Hideo
Department Of Physical Sciences School Of Science Hiroshima University
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Yahata Hideo
Department Of Materials Science Faculty Of Science
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