A catheter has at least two irrigated ablation electrodes and a coaxial irrigation tubing to transport fluid to the electrodes by separate and dedicated flow paths. A valve is used to control flow of fluid into the coaxial irrigation tubing by means of a plunger assembly that allows fluid to flow through one lumen of the coaxial irrigation tubing while regulating the flow into the other lumen of the coaxial irrigation tubing in response to the fluid flow rate and pressure applied to the plunger assembly.