Thermal conductivity of a chemically reacting ternary gas mixture

On the basis of the thermodynamics of irreversible processes, an expression is derived for the thermal conductivity of a chemically reacting gas mixture.Notation x_i molar fraction of i-th component - J_u energy flux - c_i mass fraction of i-th component - J_q heat flux - J_i mass flux of i-th component - T absolute temperature - _i molar chemical potential of i-th component - L_ik, L_uu, L_ui phenomenological coefficients, associated respectively with the transfer of mass and energy and with the superimposed effects - X_u and X_k thermodynamic forces associated with the mass and energy fluxes - h_i enthalpy of i-th component - S entropy of i-th component - D_ij diffusion coefficient of a multicomponent mixture - D_i^T thermodiffusion coefficient of i-th component in a multicomponent system - ₀(O, p) chemical potential in standard state - density - h number density of mixture particles - h_j number density of particles of i-th component - m_i molecular weigh of i-th component - p pressure of mixture - v_i specific volume of i-th component - H heat of reaction - r number of component of mixture - R gas constant - d_t thermodiffusion coefficient of a binary mixture