03-202309-G22-0582一文审稿意见与作者答复

解的类型	解的表达式	符号说明
下限解	$\begin{gathered} H_{{\text{g1}}}^{\text{s}} = \frac{{{\mu _{{\text{g0}}}}aT\exp (aT)}}{{{\mu _{\text{w}}}[\exp (aT) - 1]K}} \cdot \hfill \\ \left\{ {\frac{Q}{{4{\text{π }}}}\left[ {\frac{1}{{{r_g}}} - \frac{1}{{{R^s}(T)}}} \right]} \right. - \hfill \\ \left. {\frac{{{n_{\text{e}}}{{[{R^{\text{s}}}(T) - {r_{\text{g}}}]}^2}[{R^s}(T) + 2{r_{\text{g}}}]}}{{6{R^{\text{s}}}(T)T}}} \right\} + {h_0} \hfill \\ \end{gathered}$	$\begin{aligned} &R^{\mathrm{s}}(T)=\\ &\sqrt[3]{\frac{Q T}{4 \pi n_{\mathrm{e}}}+r_{\mathrm{g}}^3} \end{aligned}$
上限解	$H_{{\text{g2}}}^{\text{s}} = \frac{{{\mu _{{\text{g0}}}}Q}}{{4{\text{π }}{\mu _{\text{W}}}TK}} \cdot$ $\left\{ {\frac{{[\exp (aT) - 1]}}{{a{r_{\text{g}}}}} - \int_0^T {\frac{{{\text{exp(}}a{\text{t)}}}}{{{{\bar R}^{\text{s}}}{\text{(}}t{\text{)}}}}{\text{d}}t} } \right\}$	$\begin{aligned} &\bar{R}^{\mathrm{s}}(t)=\\ &\sqrt[3]{\frac{Q t}{4 \pi n_{\mathrm{e}}}+r_{\mathrm{g}}^3} \end{aligned}$

解的类型	解的表达式	符号说明
下限解	$\begin{gathered} H_{{\text{g1}}}^{\text{c}} = \frac{{{\mu _{{\text{g0}}}}aT\exp (aT)}}{{2{\mu _{\text{w}}}K[\exp (aT) - 1]}}\left\{ {\left( {\frac{Q}{{{\text{π }}L}} + \frac{{{n_{\text{e}}}}}{T}r_{\text{g}}^{\text{2}}} \right) \cdot } \right. \hfill \\ \ln \frac{{{R^{\text{c}}}(T)}}{{{r_{\text{g}}}}} - \left. {\frac{{{n_{\text{e}}}}}{{2T}}[{R^{\text{c}}}{{(T)}^2} - r_{\text{g}}^{\text{2}}]} \right\} \hfill \\ \end{gathered}$	$\begin{gathered} {R^{\text{c}}}(T) = \hfill \\ \sqrt {\frac{{QT}}{{{\text{π }}L{n_{\text{e}}}}} + r_{\text{g}}^{\text{2}}} \hfill \\ \end{gathered}$
上限解	$\begin{gathered} H_{{\text{g2}}}^{\text{c}} = \frac{{{\mu _{{\text{g0}}}}Q}}{{2{\text{π }}KL{\mu _{\text{w}}}T}}\left[ {\int_0^T {\exp (at){\text{ln}}{{\bar R}^{\text{c}}}(t)} {\text{d}}t - \begin{array}{{20}{c}} {} \\ {} \end{array}} \right. \hfill \\ \left. {\begin{array}{{20}{c}} {} \\ {} \end{array}\frac{{\exp (aT) - 1}}{a}{\text{ln}}{r_{\text{g}}}} \right] \hfill \\ \end{gathered}$	$\begin{gathered} {{\bar R}^{\text{c}}}(t) = \hfill \\ \sqrt {\frac{{Qt}}{{{\text{π }}L{n_{\text{e}}}}} + r_{\text{g}}^{\text{2}}} \hfill \\ \end{gathered}$