CONVECTION IN A BOX: THE DEPENDENCE OF PREFERRED WAVE NUMBER UPON THE RAYLEIGH NUMBER AT FINITE AMPLITUDE,

Abstract

Using Stuart's shape assumption and a condition of maximum heat transport, it is found that the preferred number of finite roll cells present in Benard convection in a three-dimensional rectangular box tends to decrease with increasing supercritical Rayleigh number in contradiction to the behavior in an infinite layer, but in accordance with experimental observation. This 'end effect' might explain the similar wave number decrease observed in the Taylor instability between rotating cylinders. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1968
Accession Number
AD0673341

Entities

People

  • Stephen H. Davis

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Convection
  • Instability
  • Observation
  • Three Dimensional
  • Transport Ships

Readers

  • Brain and Cognitive Science; Experimental Psychology; Cognitive Neuroscience
  • Fluid Dynamics.