Heat transport in strongly chaotic thermal convection

Ulrich Hansen; David A. Yuen

Heat transport in strongly chaotic thermal convection

Ulrich Hansen, David A. Yuen

Earth and Environmental Sciences-Twin Cities

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Abstract

We have studied the characteristics of heat-transfer in strongly time-dependent thermal convection for base-heated, infinite Prandtl number fluids within the Boussinesq approximation. The range of the Rayleigh number studied lies between 5 × 10⁵ and 10⁸. Typically, flows at Rayleigh number around 10⁶ consist of large-scale cells with intermittent boundary-layer instabilities. For Ra greater than 10⁷ the heat-transfer mechanism changes from one, characterized by mushroom-like plumes, to one consisting of disconnected upward rising instabilities. The Nusselt numbers of the time-dependent flows are smaller than the steady-state values. This discrepancy between the steady-state and time-dependent Nusselt numbers increases with Ra and reaches around 30% for Ra = 10⁸.

Original language	English (US)
Pages (from-to)	43-46
Number of pages	4
Journal	American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
Volume	149
State	Published - Dec 1 1990
Event	Winter Annual Meeting of the American Society of Mechanical Engineers - Dallas, TX, USA Duration: Nov 25 1990 → Nov 30 1990

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title = "Heat transport in strongly chaotic thermal convection",

abstract = "We have studied the characteristics of heat-transfer in strongly time-dependent thermal convection for base-heated, infinite Prandtl number fluids within the Boussinesq approximation. The range of the Rayleigh number studied lies between 5 × 105 and 108. Typically, flows at Rayleigh number around 106 consist of large-scale cells with intermittent boundary-layer instabilities. For Ra greater than 107 the heat-transfer mechanism changes from one, characterized by mushroom-like plumes, to one consisting of disconnected upward rising instabilities. The Nusselt numbers of the time-dependent flows are smaller than the steady-state values. This discrepancy between the steady-state and time-dependent Nusselt numbers increases with Ra and reaches around 30% for Ra = 108.",

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AU - Yuen, David A.

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N2 - We have studied the characteristics of heat-transfer in strongly time-dependent thermal convection for base-heated, infinite Prandtl number fluids within the Boussinesq approximation. The range of the Rayleigh number studied lies between 5 × 105 and 108. Typically, flows at Rayleigh number around 106 consist of large-scale cells with intermittent boundary-layer instabilities. For Ra greater than 107 the heat-transfer mechanism changes from one, characterized by mushroom-like plumes, to one consisting of disconnected upward rising instabilities. The Nusselt numbers of the time-dependent flows are smaller than the steady-state values. This discrepancy between the steady-state and time-dependent Nusselt numbers increases with Ra and reaches around 30% for Ra = 108.

AB - We have studied the characteristics of heat-transfer in strongly time-dependent thermal convection for base-heated, infinite Prandtl number fluids within the Boussinesq approximation. The range of the Rayleigh number studied lies between 5 × 105 and 108. Typically, flows at Rayleigh number around 106 consist of large-scale cells with intermittent boundary-layer instabilities. For Ra greater than 107 the heat-transfer mechanism changes from one, characterized by mushroom-like plumes, to one consisting of disconnected upward rising instabilities. The Nusselt numbers of the time-dependent flows are smaller than the steady-state values. This discrepancy between the steady-state and time-dependent Nusselt numbers increases with Ra and reaches around 30% for Ra = 108.

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T2 - Winter Annual Meeting of the American Society of Mechanical Engineers

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Heat transport in strongly chaotic thermal convection

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