On non-linear heat-up of a Boussinesq fluid in a circular cylinder

  • Einar Mæland
Brief Reports


On the assumption of a quasi-steady, linearized buoyancy-layer flow, the existence of a moving “front” in the impulsive heat-up of a Boussinesq fluid is demonstrated. The theory gives a sound explanation of a moving front observed in laboratory experiments of heating an initially homogeneous fluid in a circular cylinder. In a way the front represents the thermal analogy of the observed front in the impulsive spin-up of a homogeneous, rotating fluid.


Laboratory Experiment Mathematical Method Circular Cylinder Homogeneous Fluid Sound Explanation 
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Mit der Annahme eines quasi-stationären, linearisierten Auftrieb-Stromes wird die Existenz einer bewegten „Front“ bei plötzlicher Erwärmung einer Boussinesq-Flüssigkeit nachgewiesen. Die Theorie gibt eine befriedigende Darstellung einer bewegten Front, die in Laboratoriumsversuchen bei Erwärmung einer ursprünglich homogenen Flüssigkeit in einem kreisrunden Zylinder beobachtet wird. Diese Front ist gewissermaßen die thermische Analogie zur beobachteten Front beim plötzlichen Andrehen einer homogenen Flüssigkeit.


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Copyright information

© Birkhäuser Verlag 1981

Authors and Affiliations

  • Einar Mæland
    • 1
  1. 1.The Norwegian Meteorological InstituteBergenNorway

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