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Title:Finite-amplitude thermal convection with spatially modulated boundary temperatures
Author(s):Riahi, Daniel N.
Subject(s):Finite-amplitude Thermal Convection
Spatially Modulated Temperatures
Abstract:Finite amplitude thermal convection in a fluid layer between two horizontal walls with different fixed mean temperatures is considered when spatially modulated temperatures with amplitudes Ll* and Lu* are prescribed at the lower and upper walls, respectively. The nonlinear steady problem is solved by a perturbation technique, and the preferred mode of convection is determined by a stability analysis. For resonant wavelength excitation case, regular or non-regular multi-modal pattern convection can become preferred in some ranges of Ll* and Lu*, provided the wave vectors of such patterns are contained in certain subset of the wave vectors representing a linear combination of modulated lower and upper boundary temperatures. For non-resonant wavelength excitation case, three (two) dimensional solution in the form of multi-modal (rolls) pattern convection can be preferred, even if the boundary modulations are one (two) or two (one) dimensional, provided the wave lengths of the modulations are not too small. Heat transported by convection can be enhanced by boundary modulations in some ranges of Ll* and Lu*.
Issue Date:1994-06
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 755
Genre:Technical Report
Rights Information:Copyright 1994 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04

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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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