  A turbulent transport of radiation in the solar convective zone is
investigated. The mean-field equation for the irradiation intensity is derived.
It is shown that due to the turbulent effects, the effective penetration length
of radiation can be increased in several times in comparison with the mean
penetration length of radiation (defined as an inverse mean absorption
coefficient). Using the model of the solar convective zone based on the mixing
length theory, where the mean penetration length of radiation is usually much
smaller than the turbulent correlation length, it is demonstrated that the
ratio of the effective penetration length to the mean penetration length of
radiation increases in 2.5 times in the vicinity of the solar surface. The main
reason are the compressibility effects that become important in the vicinity of
the solar surface where temperature and density fluctuations increase towards
the solar surface, enhancing fluctuations of the radiation absorption
coefficient and increasing the effective penetration length of radiation.
