  Recent coronal loop modeling has emphasized the importance of combining both
Coulomb collisions and turbulent scattering to characterize field-aligned
thermal conduction, which invokes a hybrid loop model. In this work we
generalize the hybrid model by incorporating nonuniform heating and cross
section that are both formulated by a power-law function of temperature. Based
on the hybrid model solutions, we construct scaling laws that relate loop-top
temperature ($T_a$) and heating rate ($H_a$) to other loop parameters. It is
found that the loop-top properties for turbulent loops are additionally
power-law functions of turbulent mean free path ($\lambda_T$), with the
functional forms varying from situation to situation that depends on the
specification of the heating and/or areal parameters. More importantly, both a
sufficiently footpoint-concentrated heating and a cross-sectional expansion
with height can effectively weaken (strengthen) the negative (positive)
power-law dependence of $T_a$ ($H_a$) on $\lambda_T$. The reason lies in a
notable reduction of heat flux by footpoint heating and/or cross-sectional
expansion in the turbulence-dominated coronal part, where turbulent scattering
introduces a much weaker dependence of the conduction coefficient on
temperature. In this region, therefore, the reduction of the heat flux
predominately relies on a backward flattening of the temperature gradient.
Through numerical modeling that incorporates more realistic conditions, this
scenario is further consolidated. Our results have important implication for
solar active region (AR) loops. With the factors of nonuniform heating and
cross section taken into account, AR loops can bear relatively stronger
turbulence while still keeping a physically reasonable temperature for
nonflaring loops.
