  In this paper, we focus on the possible correlation between conjectures KSS
bound and weak gravity conjecture (WGC). The hydrodynamic values KSS bound and
weak gravity conjecture constraint the low-energy effective field theory. These
conjectures identify UV complete theories. We give four, six and eight order
derivative corrections to corresponding action and employ the hyperscaling
violating charged AdS$_{d+2}$ black brane solution. These corrections lead us
to find correlation between conjectures KSS bound and weak gravity conjecture.
We see that, with increasing perturbation correction, this correlation is more
likely to appear. We consider dynamical constant $z=1$, $d=5$ and obtain the
range of hyperscaling violation exponent $d+z-2\leq\theta\leq d+z-1$ for the
above mentioned black brane. Here, we show that higher derivative corrections
reduce the ratio of $\frac{M}{Q}$ to extremal black holes. Likewise, we also
obtain the universal relaxation bound $\tau\geq \frac{1}{\pi T}$ and KSS bound
$\frac{\eta}{s}\geq \frac{1}{4\pi}$ for our model. The results indicate that
there is a possibility of a relationship between the two conjectures. Our
studies also show the consistency of the WGC and the KSS bound conjectures for
all corrections (except curvature-cubed, $\beta_2$) in the extremal and
near-extremal condition.
