<p>In this study, the effects of separated flow over a melting paraffin slab on atomization is considered. Experiments are conducted using an optical chamber with a paraffin wax slab exposed to high shear flows of 71–234&#xa0;kg/m<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="348_2025_4091_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="24" /> </InlineMediaObject> <EquationSource Format="TEX">\(^2-\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mmultiscripts> <mrow /> <mrow /> <mn>2</mn> </mmultiscripts> <mo>-</mo> </mrow> </math></EquationSource> </InlineEquation> s with non-vitiated heated air at 84–199&#xa0;<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="348_2025_4091_Article_IEq2.gif" Format="GIF" Height="7" Rendition="HTML" Resolution="72" Type="Linedraw" Width="9" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mo>∘</mo> </mmultiscripts> </math></EquationSource> </InlineEquation>C. The formation of a lobe structure and leading edge instability responsible for wax atomization is imaged and quantified. The lobe height and receding angle are measured, and a simplified theory is developed to predict the steady-state shape using a sinusoidal profile. A Weber number of the leading edge is defined (We<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="348_2025_4091_Article_IEq3.gif" Format="GIF" Height="11" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(_\textrm{LE}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mtext>LE</mtext> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>) to non-dimensionalize and correlate the experimental data to the theory. A linear correlation is observed with an <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="348_2025_4091_Article_IEq4.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\(R^2\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>R</mi> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation> of 0.94 between the shear correction factor and We<InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="348_2025_4091_Article_IEq3.gif" Format="GIF" Height="11" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(_\textrm{LE}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mtext>LE</mtext> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>. The overall agreement between theory and measurements is good for the lobe height and width. Measurements of entrainment from the lobe account for <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="348_2025_4091_Article_IEq6.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="49" /> </InlineMediaObject> <EquationSource Format="TEX">\(\approx 20\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>≈</mo> <mn>20</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation> of the total mass loss. The size of the droplets entrained from the leading edge are recorded and normalized. Droplet size distributions for varying air fluxes and temperature are shown to collapse to the same distribution when normalized using their z-scores.</p>

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Droplet entrainment and size distributions from flow separation over a melting paraffin slab

  • Elektra A. Katz Ismael,
  • Kenneth L. Budzinski,
  • Paul E. DesJardin

摘要

In this study, the effects of separated flow over a melting paraffin slab on atomization is considered. Experiments are conducted using an optical chamber with a paraffin wax slab exposed to high shear flows of 71–234 kg/m \(^2-\) 2 - s with non-vitiated heated air at 84–199  \(^{\circ }\) C. The formation of a lobe structure and leading edge instability responsible for wax atomization is imaged and quantified. The lobe height and receding angle are measured, and a simplified theory is developed to predict the steady-state shape using a sinusoidal profile. A Weber number of the leading edge is defined (We \(_\textrm{LE}\) LE ) to non-dimensionalize and correlate the experimental data to the theory. A linear correlation is observed with an \(R^2\) R 2 of 0.94 between the shear correction factor and We \(_\textrm{LE}\) LE . The overall agreement between theory and measurements is good for the lobe height and width. Measurements of entrainment from the lobe account for \(\approx 20\%\) 20 % of the total mass loss. The size of the droplets entrained from the leading edge are recorded and normalized. Droplet size distributions for varying air fluxes and temperature are shown to collapse to the same distribution when normalized using their z-scores.