Abstract
Heat-transport measurements in a bulk normal-fluid $^{3}\mathrm{He}$-$^{4}\mathrm{He}$ mixture heated from below and over the range $\ensuremath{-}0.02\ensuremath{\lesssim}\ensuremath{\psi}\ensuremath{\lesssim}0.02$ of the separation ratio $\ensuremath{\psi}$ reveal a forward bifurcation with an initial slope $S\ensuremath{\cong}0$ of the Nusselt number for large $\ensuremath{\psi}$, and a backward bifurcation for $\ensuremath{\psi}<{\ensuremath{\psi}}_{b}\ensuremath{\cong}0.006$. At ${\ensuremath{\psi}}_{b}$, $S\ensuremath{\cong}1$. The critical line $\ensuremath{\Delta}{T}_{c}(\ensuremath{\psi})$ has two branches which meet at $\ensuremath{\psi}\ensuremath{\cong}\ensuremath{-}0.003$, and which we attribute to the expected stationary and Hopf bifurcation lines. However, stable oscillations bifurcating from the conduction state exist only for $\ensuremath{\psi}\ensuremath{\lesssim}\ensuremath{-}0.015$.
Keywords
PhysicsNusselt numberLine (geometry)Binary numberState (computer science)Thermal conductionThermodynamicsCondensed matter physicsGeometryMathematicsReynolds numberArithmetic
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Publication Info
- Year
- 1986
- Type
- article
- Volume
- 56
- Issue
- 13
- Pages
- 1373-1376
- Citations
- 88
- Access
- Closed
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Cite This
Guenter Ahlers,
Ingo Rehberg
(1986).
Convection in a Binary Mixture Heated from Below.
Physical Review Letters
, 56
(13)
, 1373-1376.
https://doi.org/10.1103/physrevlett.56.1373
Identifiers
- DOI
- 10.1103/physrevlett.56.1373
- PMID
- 10032651