<p>This study investigates the influence of grid-fin chord Reynolds number&#xa0;<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({\text{Re}}_{c}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mtext>Re</mtext> <mi>c</mi> </msub> </math></EquationSource> </InlineEquation>&#xa0;on the incremental static aerodynamic characteristics of a generic missile configuration with grid fins in the transonic regime. Wind tunnel tests were performed on a body-alone configuration and two grid-fin configurations with different blockage ratios over Mach numbers 0.6–1.2 and Re<sub><i>c</i></sub>&#xa0;≈&#xa0;0.5 × 10<sup>6</sup>–5.0 × 10<sup>6</sup>, and incremental coefficients were obtained by subtracting body-alone data. The incremental axial force coefficient at zero angle of attack, <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\Delta {C}_{A0}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="normal">Δ</mi> <msub> <mi>C</mi> <mrow> <mi>A</mi> <mn>0</mn> </mrow> </msub> </mrow> </math></EquationSource> </InlineEquation>, exhibits only weak dependence on&#xa0;<InlineEquation ID="IEq3"> <EquationSource Format="TEX">\({\text{Re}}_{c}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mtext>Re</mtext> <mi>c</mi> </msub> </math></EquationSource> </InlineEquation>, while the incremental normal-force and pitching-moment slopes,&#xa0;<InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\Delta {C}_{N\alpha }\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="normal">Δ</mi> <msub> <mi>C</mi> <mrow> <mi>N</mi> <mi>α</mi> </mrow> </msub> </mrow> </math></EquationSource> </InlineEquation>&#xa0;and&#xa0;<InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\Delta {C}_{m\alpha }\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="normal">Δ</mi> <msub> <mi>C</mi> <mrow> <mi>m</mi> <mi>α</mi> </mrow> </msub> </mrow> </math></EquationSource> </InlineEquation>, and the center-of-pressure location&#xa0;<InlineEquation ID="IEq6"> <EquationSource Format="TEX">\({X}_{\text{c}\text{p}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>X</mi> <mtext>cp</mtext> </msub> </math></EquationSource> </InlineEquation>&#xa0;show strong Reynolds number sensitivity in the subsonic–transonic range, with increased&#xa0;<InlineEquation ID="IEq7"> <EquationSource Format="TEX">\({\text{Re}}_{c}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mtext>Re</mtext> <mi>c</mi> </msub> </math></EquationSource> </InlineEquation>&#xa0;enhancing the stabilizing contribution of the grid fins and shifting&#xa0;<InlineEquation ID="IEq8"> <EquationSource Format="TEX">\({X}_{\text{c}\text{p}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>X</mi> <mtext>cp</mtext> </msub> </math></EquationSource> </InlineEquation>&#xa0;aft. These effects are stronger for the higher-blockage configuration, highlighting that transonic grid-fin performance is controlled by the combined influence of Mach number, lattice geometry, and chord Reynolds number.</p>

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Analysis on Reynolds Number Effects on Grid Fin Stability and Control in Transonic Regime

  • Yeongbin Lee

摘要

This study investigates the influence of grid-fin chord Reynolds number  \({\text{Re}}_{c}\) Re c  on the incremental static aerodynamic characteristics of a generic missile configuration with grid fins in the transonic regime. Wind tunnel tests were performed on a body-alone configuration and two grid-fin configurations with different blockage ratios over Mach numbers 0.6–1.2 and Rec ≈ 0.5 × 106–5.0 × 106, and incremental coefficients were obtained by subtracting body-alone data. The incremental axial force coefficient at zero angle of attack, \(\Delta {C}_{A0}\) Δ C A 0 , exhibits only weak dependence on  \({\text{Re}}_{c}\) Re c , while the incremental normal-force and pitching-moment slopes,  \(\Delta {C}_{N\alpha }\) Δ C N α  and  \(\Delta {C}_{m\alpha }\) Δ C m α , and the center-of-pressure location  \({X}_{\text{c}\text{p}}\) X cp  show strong Reynolds number sensitivity in the subsonic–transonic range, with increased  \({\text{Re}}_{c}\) Re c  enhancing the stabilizing contribution of the grid fins and shifting  \({X}_{\text{c}\text{p}}\) X cp  aft. These effects are stronger for the higher-blockage configuration, highlighting that transonic grid-fin performance is controlled by the combined influence of Mach number, lattice geometry, and chord Reynolds number.