I want make a mathematical model connecting current flow and conductivity of electrolyte for my research work. Can I use V =IR, connecting voltage, current , resistance as my base equation for electrolyte conduction?
Usually electrolytes behave like ohmic conductors. So, you can find a relationship between applied potential and current flow that gives you the resistance in the form of the Ohm's Law, as you stated. Now, electrolyte specific conductivity, c, is related with electrolyte resistance, R, through the cell parameters: distance between electrodes, L, and electrode surface area, A: c=R·L/A. So you have to be careful with the geometry of the measurement system in order to obtain reliable results.
In galvanic industry is used to consider the plating bath as ohmic conductor, and often is calculated the conductivity of a plating bath for the evalutation of the thermal effects of the current flowing in the bath; i.e. consider that in aluminium anodization the current is enough to overheat the plating bath and a cooling is mandatory