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<p>The influence of viscosity on the formation of the Mach reflection of shock waves in a steady argon flow between two symmetrically arranged wedges is numerically studied at the free-stream Mach number of 2 and the Reynolds number of 1000. A two-shock configuration is shown to form at the wedge angle <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="193_2024_1213_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="76" /> </InlineMediaObject> <EquationSource Format="TEX">\(\theta _\text {w}=10.9^\circ \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>θ</mi> <mtext>w</mtext> </msub> <mo>=</mo> <mn>10</mn> <mo>.</mo> <msup> <mn>9</mn> <mo>∘</mo> </msup> </mrow> </math></EquationSource> </InlineEquation> rather than a three-shock configuration predicted by shock polars. The Mach reflection appears as the wedge angle increases, i.e., viscosity leads to a delay of the transition from regular to Mach reflection.</p>

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Numerical study of viscous effects on the formation of the Mach reflection in a transition from regular reflection

  • 期刊论文

  • 发表日期：

    2025年1月24日

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  • G. Shoev,
  • V. Nazarov,
  • M. Timokhin

摘要

The influence of viscosity on the formation of the Mach reflection of shock waves in a steady argon flow between two symmetrically arranged wedges is numerically studied at the free-stream Mach number of 2 and the Reynolds number of 1000. A two-shock configuration is shown to form at the wedge angle \(\theta _\text {w}=10.9^\circ \) θ w = 10 . 9 ∘ rather than a three-shock configuration predicted by shock polars. The Mach reflection appears as the wedge angle increases, i.e., viscosity leads to a delay of the transition from regular to Mach reflection.