• Infrared and Laser Engineering
  • Vol. 50, Issue 11, 20210084 (2021)
Yuheng Wang, Honghu Ji, Wen Cheng, and Jiquan Li
Author Affiliations
  • College of Energy and Power, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
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    DOI: 10.3788/IRLA20210084 Cite this Article
    Yuheng Wang, Honghu Ji, Wen Cheng, Jiquan Li. Influence of design of convergent-divergent nozzle on aerodynamic and infrared characteristics of serpentine 2-D exhaust system[J]. Infrared and Laser Engineering, 2021, 50(11): 20210084 Copy Citation Text show less

    Abstract

    In order to investigate the aerodynamic and infrared characteristics of serpentine 2-D convergent-divergent exhaust system, three serpentine 2-D exhaust system with right behind full-shield convergent-divergent nozzle were designed. The effect of centre line offset-diameter ratios between throat and outlet, (S8-S9)/D=0.26-0.3, and width expansion ratios between throat and outlet, (W9-W8)/D=0.1-0.36, on aerodynamic and infrared characteristics was studied numerically. The results show that relative to the axisymmetric exhaust system, the infrared radiation intensity of three serpentine 2-D convergent-divergent exhaust systems decrease by 73.4% on average in the range of 0°-15° for tail direction, and decrease at least 60.3% in the 90° direction of side, upper, lower detection plane, the decrease of infrared radiation characteristics increases with the decrease of (S8-S9)/D, increases with the increase of (W9-W8)/D, and more sensitive to (S8-S9)/D. The thrust coefficient of three serpentine 2-D convergent-divergent exhaust systems increases with the decrease of (S8-S9)/D and (W9-W8)/D.
    $ y\left(x\right)={y}_{0}+({S}_{8}-{S}_{9})\times {\varphi }_{y}\left(\overline{x}\right)$(1)

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    ${\varphi _y}\left( {\overline x} \right) = 6{\overline x^2} - 8{\overline x^3} + 3{\overline x^4}$(2)

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    ${\varphi _y}\left( {\overline x} \right) = 3{\overline x^2} - 2{\overline x^3}$(3)

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    $ A\left(x\right)={A}_{8}+({A}_{9}-{A}_{8})\times {\varphi }_{A}\left(\overline{x}\right)$(4)

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    $({S_8} - {S_9}) = (\sqrt {{A_9}/A{R_9}} + \sqrt {{A_8}/A{R_8}} )/2$(5)

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    $({W_9} - {W_8}) = (\sqrt {{A_9} \cdot A{R_9}} - \sqrt {{A_8} \cdot A{R_8}} )$(6)

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    ${C_d} = \frac{{{m_a}}}{{m{}_i}}$(7)

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    ${m_a} = \int_{{A_9}} {\left( {\rho {U_x}} \right){\rm{d}}A} $(8)

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    ${m_i} = \sqrt {\frac{k}{{{R_g}}}{{\left(\frac{2}{{k + 1}}\right)}^{\frac{{k + 1}}{{k - 1}}}}} \frac{{{p_t}}}{{\sqrt {{T_t}} }}{A_8}$(9)

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    ${C_f} = \frac{{{F_a}}}{{F{}_i}}$(10)

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    ${F_a} = \int_{{A_9}} {\left( {\rho {U_x}{U_x} + {p_9} - {p_0}} \right){\rm{d}}A} $(11)

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    ${F_i} = {m_a}\sqrt {\frac{{2k}}{{k - 1}}{R_g}{T_t}\left(1 - {{\left(\frac{{{p_0}}}{{{p_t}}}\right)}^{\frac{{k - 1}}{k}}}\right)} $(12)

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    $\theta = ({T_w}(x,y,z) - {T_0})/({T_{t5}} - {T_0})$(13)

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    $\varPhi {\rm{ = 1 - }}\frac{{\displaystyle\int\limits_{{A_e}} {\left| {{h_t} - {h_{t,m}}} \right|{\rm{d}}m} }}{{\displaystyle\int\limits_{{A_c}} {\left| {{h_t} - {h_{t,m}}} \right|{\rm{d}}{m_c} + \displaystyle\int\limits_{{A_f}} {\left| {{h_t} - {h_{t,m}}} \right|{\rm{d}}{m_f}} } }}$(14)

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    $ {h_{t,m}} = \frac{{{m_c}{h_c} + {m_f}{h_f}}}{{{m_c} + {m_f}}} $(15)

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    $\lambda {\rm{ = }}\frac{{(\overline {{I_2}} - \overline {{I_1}} )/\overline {{I_1}} }}{{({x_2} - {x_1})/{x_1}}}$(16)

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    Yuheng Wang, Honghu Ji, Wen Cheng, Jiquan Li. Influence of design of convergent-divergent nozzle on aerodynamic and infrared characteristics of serpentine 2-D exhaust system[J]. Infrared and Laser Engineering, 2021, 50(11): 20210084
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