练习CSDN-Markdown 输入数学公式

公式一:

Aahaρcyc(x,t)e−EaRT(x,t)ybO2(x,t)h+Aohoρfe−EoRT(x,t)ybO2(x,t)m(−ya(x,t)−yc(x,t)+1)f+Aphpρfe−EpRT(x,t)(−ya(x,t)−yc(x,t)+1)g+∂T(x,t)∂t((Cc−Cf)ya(x,t)+(Cc−Cf)yc(x,t)+Cf)((ρc−ρf)ya(x,t)+(ρc−ρf)yc(x,t)+ρf)=Akg(Tg(x,t)−T(x,t))⎛⎝1110710−−−√3(dfMpatmug(x,t)μgRT(x,t))3/5+2⎞⎠df+∂T(x,t)∂x(16dfσ∂T(x,t)∂xT(x,t)2+(kc−kf)(∂ya(x,t)∂x+∂yc(x,t)∂x))+∂2T(x,t)∂x2(163dfσT(x,t)3+kc(ya(x,t)+yc(x,t))−kf(ya(x,t)+yc(x,t)−1))(1){A_a}\;{h_a}{\rho_c}\;{\color{red}{y_c}(x,t)}e^{-\dfrac{{\dfrac{E_a}{R}}}{\color{red}T(x,t)}}{\color{red}y^b_{O_2}(x,t)}^h+{A_o}\;{h_o}\;{\rho_f}\;e^{-\dfrac{{\dfrac{E_o}{R}}}{\color{red}T(x,t)}}{\color{red}y^b_{O_2}(x,t)}^m(-{\color{red}y_a(x,t)}-{\color{red}{y_c}(x,t)}+1)^f+{A_p}{h_p}{\rho_f}\;e^{-\dfrac{{\dfrac{E_p}{R}}}{\color{red}T(x,t)}}(-{\color{red}y_a(x,t)}-{\color{red}{y_c}(x,t)}+1)^g+{\dfrac{\partial\color{red}T(x,t)}{\partial t}}(({C_c}\;-{C_f}\;){\color{red}y_a(x,t)}+({C_c}\;-{C_f}\;){\color{red}{y_c}(x,t)}+{C_f}\;)(({\rho_c}\;-{\rho_f}\;){\color{red}y_a(x,t)}+({\rho_c}\;-{\rho_f}\;){\color{red}{y_c}(x,t)}+{\rho_f}\;)=\dfrac{A{k_g}\;({\color{red}T_g(x,t)}-{\color{red}T(x,t)})\left(\dfrac{11}{10}\sqrt[3]{\dfrac{7}{10}}\left(\dfrac{{d_f}\;M{p_{\text{atm}}}\;{\color{red}u_g(x,t)}}{{\mu_g}\;R{\color{red}T(x,t)}}\right)^{3/5}+2\right)}{d_f}\;+\dfrac{\partial\color{red}T(x,t)}{\partial x}\left(16{d_f}\;\sigma\dfrac{\partial\color{red}T(x,t)}{\partial x}{\color{red}T(x,t)}^2+({k_c}\;-{k_f}\;)\left({\dfrac{\partial\color{red}y_a(x,t)}{\partial x}}+{\frac{\partial\color{red}y_c(x,t)}{\partial x}}\right)\right)+{\dfrac{\partial^2\color{red}T(x,t)}{\partial x^2}}\left(\dfrac{16}{3}{d_f}\;\sigma{\color{red}T(x,t)}^3+{k_c}\;({\color{red}y_a(x,t)}+{\color{red}{y_c}(x,t)})-{k_f}\;({\color{red}y_a(x,t)}+{\color{red}{y_c}(x,t)}-1)\right)\tag{1}