in CDAFs is a dominant process because of the less steep density profile. Also the spectral structure of CDAFs are similar to the ADAFs with outflow solutions (Ball et al. 2001). Therefore we consider bremsstrahlung X-ray emission from the outer parts of CDAFs. By integrating over the whole frequency, we have: $$q_{bremss}(T)=5 \times 10^{20} T^{\frac{1}{2}}\rho^{2} G_b(erg s^{-1} cm^{-3})$$

The height integration of the bremsstrahlung emissivity is: $$F_{\nu}=2.4 \times 10^{10} T^{-\frac{1}{2}}\rho^{2}\exp(\frac{-h\nu}{KT}) H G_b (erg s^{-1} cm^{-2}Hz^{-1})$$ and The bolometric bremsstrahlung flux is: $$F_{bol}=5 \times 10^{20} T^{\frac{1}{2}}\rho^{2} H G_b(erg s^{-1} cm^{-2})$$ The bremsstrahlung luminosity of a CADF is given by: $$L_{\nu}=2 \int F_\nu 2\pi r dr (erg s^{-1})$$ by using the Schawrzchild units, the bremsstrahlung luminosity will be: $$L_{\nu}=4\pi R^{3}_{s} \int_{1}^{R_{out}} F_\nu R^{2} dR$$ As we mentioned in section 1, convective motions can transport energy from small to large radii and we can write the convective luminosity as $L_C\equiv \epsilon_c \dot{M} c^{2}$, where $\epsilon_c\cong 10^{-2}-10^{-3}$ is the convective efficiency. A fraction $\eta_{c}$ of this energy can be radiated at large radii in the CDAFs and this radiation emitted as thermal bremsstrahlung emission (Ball et al. 2001): $$L_c=\eta_c \epsilon_c \dot{M} c^{2}$$ In this study we assume $\eta_c=1$ which correspond to the all convected 