  We perform interface-resolved simulations of finite-size evaporating droplets
in weakly-compressible homogeneous shear turbulence (HST). The study is
conducted by varying three dimensionless physical parameters: the initial gas
temperature over the critical temperature $T_{g,0}/T_c$, the initial droplet
diameter over the Kolmogorov scale $d_0/\eta$ and the surface tension, i.e. the
shear-based Weber number, $We_{\mathcal{S}}$. For the smallest
$We_{\mathcal{S}}$, we first discuss the impact on the evaporation rate of the
three thermodynamic models employed to evaluate the gas thermophysical
properties: a constant property model and two variable-properties approaches
where either the gas density or all the gas properties are allowed to vary.
Taking this last approach as reference, the model assuming constant gas
properties and evaluated with the "1/3" rule, is shown to predict the
evaporation rate better than the model where the only variable property is the
gas density. Moreover, we observe that the well-known Fr\"ossling/Ranz-Marshall
correlation underpredicts the Sherwood number at low temperatures,
$T_{g,0}/T_c=0.75$. Next, we show that the ratio between the actual evaporation
rate in turbulence and the one computed in stagnant condition is always much
higher than one for weakly deformable droplets: it decreases with $T_{g,0}/T_c$
without approaching unity at the highest $T_{g,0}/T_c$ considered. This
suggests an evaporation enhancement due to turbulence also in conditions
typical of combustion applications. Finally, we examine the overall evaporation
rate and the local interfacial mass-flux at higher $We_{\mathcal{S}}$, showing
a positive correlation between evaporation rate and interfacial curvature,
especially at the lowest $T_{g,0}/T_c$.
