Transition to Oscillatory Convection in a <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">He</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>3</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math></span>—Superfluid-<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">He</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>4</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math></span> Mixture

Yoshiteru Maeno; Hans Haucke; John C. Wheatley

doi:10.1103/PhysRevLett.54.340

Transition to Oscillatory Convection in a ${}^{3}{He}$ —Superfluid- ${}^{4}{He}$ Mixture

Yoshiteru Maeno, Hans Haucke, and John C. Wheatley

Phys. Rev. Lett. 54, 340 – Published 28 January 1985

Abstract

The oscillatory instability of Rayleigh-Bénard convection is studied in a solution of 1.46% ${}^{3}{He}$ in superfluid ${}^{4}{He}$ for the Prandtl-number range $0.045 <~ σ <~ 0.15$ . The observed behaviors of the oscillatory frequency and the onset condition support the theory of oscillatory convection for a classical, low-Prandtl-number, one-component fluid.