  We measure resolved (kiloparsec-scale) outflow properties in a sample of 10
starburst galaxies from the DUVET sample, using Keck/KCWI observations of
H$\beta$ and [OIII]~$\lambda$5007. We measure $\sim450$ lines-of-sight that
contain outflows, and use these to study scaling relationships of outflow
velocity ($v_{\rm out}$), mass-loading factor ($\eta$; mass outflow rate per
SFR) and mass flux ($\dot{\Sigma}_{\rm out}$; mass outflow rate per area) with
co-located SFR surface density ($\Sigma_{\rm SFR}$) and stellar mass surface
density ($\Sigma_{\ast}$). We find strong, positive correlations of
$\dot{\Sigma}_{\rm out} \propto \Sigma_{\rm SFR}^{1.2}$ and $\dot{\Sigma}_{\rm
out} \propto \Sigma_{\ast}^{1.7}$. We also find shallow correlations between
$v_{\rm out}$ and both $\Sigma_{\rm SFR}$ and $\Sigma_{\ast}$. Our resolved
observations do not suggest a threshold in outflows with $\Sigma_{\rm SFR}$,
but rather we find that the local specific SFR ($\Sigma_{\rm SFR}/\Sigma_\ast$)
is a better predictor of where outflows are detected. We find that outflows are
very common above $\Sigma_{\rm SFR}/\Sigma_\ast\gtrsim 0.1$~Gyr$^{-1}$ and rare
below this value. We argue that our results are consistent with a picture in
which outflows are driven by supernovae, and require more significant injected
energy in higher mass surface density environments to overcome local gravity.
The correlations we present here provide a statistically robust, direct
comparison for simulations and higher redshift results from JWST.
