Corpus ID: 237941130

Bounds on heat flux for Rayleigh-B\'{e}nard convection between Navier-slip fixed-temperature boundaries

  title={Bounds on heat flux for Rayleigh-B\'\{e\}nard convection between Navier-slip fixed-temperature boundaries},
  author={Theodore D. Drivas and Huy Q. Nguyen and Camilla Nobili},
We study two-dimensional Rayleigh-Bénard convection with Navier-slip, fixed temperature boundary conditions and establish bounds on the Nusselt number. As the slip-length varies with Rayleigh number Ra, this estimate interpolates between the Whitehead–Doering bound by Ra 5 12 for free-slip conditions [13] and classical Doering–Constantin Ra 1 2 bound [4]. 

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