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Dynamics of electrochemical flows 1 Motion of electrochemical flows

The motion of the electrolyte, comprising of solute ions and solvent molecules, is a frequently-occurring natural phenomenon. The motion of the electrolyte leads to the flows of ions and solvent molecules, known as electrochemical flows. In this study, we establish a general theory to describe the motion of the electrochemical flows. Our theory provides a different approach from others to clarify the details of the transport phenomena for the electrochemical flows. We derive the governing equations in the electrolyte fluid from mass, charge, momentum, energy, and concentration conservations. In addition, we normalize the governing equations to derive the dimensionless parameters, known as Reynolds, Thompson, Peclet, Prandtl and X numbers. The physical meaning of these parameter numbers in the electrochemical flow is discussed in detail. A new number, named X number, appears in the Navier-Stokes equation symbolizing the balance between the inertia force and the electric force.