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The influence of random temperature modulation on the convective instability

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  • Wulbrand, Wilhelm
  • Kagermann, Henning

Abstract

Bénard convection is considered under the influence of randomly modulated surface temperature. Using Galerkin's method the linearized stochastic dynamical equations for the Fourier modes are stated. The stability is decided by means of the corresponding moment equations and discussed for the two-mode case analytically. It is shown that the onset of instability is always advanced and depends significantly on the Prandtl number and the strength of the temperature fluctuations.

Suggested Citation

  • Wulbrand, Wilhelm & Kagermann, Henning, 1985. "The influence of random temperature modulation on the convective instability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(1), pages 182-196.
    • Handle: RePEc:eee:phsmap:v:131:y:1985:i:1:p:182-196
    DOI: 10.1016/0378-4371(85)90085-8
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    References listed on IDEAS

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    1. Rodríguez, R.F. & Van Kampen, N.G., 1976. "Systematic treatment of fluctuations in a nonlinear oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(2), pages 347-362.
    2. Emmerich, Albert & Gerlich, Gerhard & Kagermann, Henning, 1978. "Particle motion in stochastic force fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(3), pages 362-378.
    3. Safran, William, 1981. "The Limits of Professional Power: National Health Care in the Federal Republic of Germany. By Deborah A. Stone. (Chicago: University of Chicago Press, 1980. Pp. xi + 212. $18.50.)," American Political Science Review, Cambridge University Press, vol. 75(4), pages 1096-1098, December.
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