Ink supplier

An ink supplier that supplies ink to a plurality of heads in an inkjet printing apparatus, comprising:

• an ink tank storing said ink;
• an ink supply route along which said ink is supplied from said ink tank to said heads;
• an ink feedback route along which said ink is returned from said heads to said ink tank;
• an ink heater that heats said ink in said ink tank;
• an external tank storing said ink to be supplied to said ink tank;
• an ink replenishment route along which said ink is supplied from said external tank to said ink tank;
• an ink replenishment pump interposed in said ink replenishment route;
• a temperature detector that detects an in-tank temperature corresponding to the temperature of said ink in said ink tank or in said ink supply route;
• a storage amount detector that detects an ink storage amount in said ink tank;
• and
• a controller that controls a flow rate of said ink in each of said ink supply route, said ink feedback route, and said ink replenishment route, wherein
• said controller allows said ink replenishment pump to be driven in a flow rate regulation mode in which a flow rate at said ink replenishment pump is regulated in such a manner that the temperature of said ink in said ink tank falls within a predetermined temperature range, and
• said controller calculates the flow rate at said ink replenishment pump in said flow rate regulation mode on the basis of at least said in-tank temperature detected by said temperature detector and said ink storage amount detected by said storage amount detector.