I think there is no exact mathematical definition of laminar/turbulent flow.
Roughly speaking, laminar flow is such a flow, in which water particles follow streamlines that vary only slowly compared to the velocity of water. Turbulent flow is such a flow where fluid particles does not follow any steady streamlines (imagine smoke 0,5 m above the cigarette).
Practically, the fluid is in the laminar regime because its viscosity damps every instability of the flow. Instable flow with a lot of whirlpools require a lot of mechanical energy, which gets converted into heat by friction. Turbulent regime can start when the fluid velocity is so high that it can supply this energy. But this transition into instable flow depends on the geometry, kind of surface of the container and so on, so there is no simple sharp transition condition.