  We compute constitutive relations for a charged $(2+1)$ dimensional
Schr\"odinger fluid up to first order in derivative expansion, using
holographic techniques. Starting with a locally boosted, asymptotically $AdS$,
$4+1$ dimensional charged black brane geometry, we uplift that to ten
dimensions and perform $TsT$ transformations to obtain an effective five
dimensional local black brane solution with asymptotically Schr\"odinger
isometries. By suitably implementing the holographic techniques, we compute the
constitutive relations for the effective fluid living on the boundary of this
space-time and extract first order transport coefficients from these relations.
Schr\"odinger fluid can also be obtained by reducing a charged relativistic
conformal fluid over light-cone. It turns out that both the approaches result
the same system at the end. Fluid obtained by light-cone reduction satisfies a
restricted class of thermodynamics. Here, we see that the charged fluid
obtained holographically also belongs to the same restricted class.
