<p>We report preliminary results on spherical thermal counterflow generated by a small central heater in an open geometry, an open bath of superfluid He&#xa0;II, as closed cell experiments could have introduced artifacts such as overheating and boundary-induced flows. In order to eliminate them, we measure second sound attenuation in a plane-parallel resonator. Our results are at variance with the previous experiments in closed spherical cavity that showed plateau in the steady-state vortex line density and its inverse time decay, neither of which is observed presently. We find that in open geometry the vortex line density <i>L</i> increases steadily with counterflow velocity <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(v_\textrm{ns}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>v</mi> <mtext>ns</mtext> </msub> </math></EquationSource> </InlineEquation>, displaying a crossover between <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(L \propto v_\textrm{ns}^2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>L</mi> <mo>∝</mo> <msubsup> <mi>v</mi> <mtext>ns</mtext> <mn>2</mn> </msubsup> </mrow> </math></EquationSource> </InlineEquation> typical for counterflow and <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(L \propto v_\textrm{ns}^{3/2}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>L</mi> <mo>∝</mo> <msubsup> <mi>v</mi> <mtext>ns</mtext> <mrow> <mn>3</mn> <mo stretchy="false">/</mo> <mn>2</mn> </mrow> </msubsup> </mrow> </math></EquationSource> </InlineEquation>, characteristic for the quasi-classical scaling.</p>

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Spherically Symmetric Counterflow Turbulence in Open Geometry

  • Tomáš Dunca,
  • Filip Novotný,
  • Marek Talíř,
  • Balázs Szalai,
  • Nikita Ustinov,
  • Ladislav Skrbek,
  • Emil Varga

摘要

We report preliminary results on spherical thermal counterflow generated by a small central heater in an open geometry, an open bath of superfluid He II, as closed cell experiments could have introduced artifacts such as overheating and boundary-induced flows. In order to eliminate them, we measure second sound attenuation in a plane-parallel resonator. Our results are at variance with the previous experiments in closed spherical cavity that showed plateau in the steady-state vortex line density and its inverse time decay, neither of which is observed presently. We find that in open geometry the vortex line density L increases steadily with counterflow velocity \(v_\textrm{ns}\) v ns , displaying a crossover between \(L \propto v_\textrm{ns}^2\) L v ns 2 typical for counterflow and \(L \propto v_\textrm{ns}^{3/2}\) L v ns 3 / 2 , characteristic for the quasi-classical scaling.