If the Commissioners, and the Owners of any Waterworks authorized by Act of Parliament to supply Water within the Limits of the special Act, with whom the Commissioners may be desirous of contracting, do not agree as to the Price to be paid for such Supply, then such Price (except where by the Act authorizing such Waterworks some other Mode of determining such Price shall be provided) shall be settled by Arbitration, and for that Purpose the Clauses of the Lands Clauses Consolidation Act, 1845, with respect to the Settlement of Disputes by Arbitration, shall be incorporated with this and the special Act.