Is it normal for the air conditioner to turn on the warm air and the external machine not to run water?

Not normal. When heating, the outdoor radiator will frost and freeze due to heat exchange, so it needs defrosting to improve efficiency. Frost will turn into water when defrosting. The hot air from the indoor unit is dry, so it won't flow out. However, when defrosting, the indoor unit will also discharge a small amount of water during normal heating operation. The outdoor drainage pipe of air conditioning heating does not drain, and the drainage pipe comes from the indoor unit. When heating, the indoor unit blows hot air, so there will be no condensed water. For example, it is normal to have a small amount of water droplets at the bottom of the outdoor unit, because the outdoor unit blows cold air when heating, the defrosting function of the outdoor unit is reduced when it is old, and the outdoor unit radiator will frost or even freeze. When the machine is turned on for a long time, it will drip when it is frosted automatically or turned off. When air conditioning and refrigeration work, condensed water may be generated indoors and discharged to the outside through pipes. When heating, the outdoor unit will only produce water when defrosting. There are many reasons for the poor heating effect, and whether the refrigerant is sufficient. When the temperature of the outdoor environment is low enough, you can't absorb heat from the outside, and the heating effect is certainly not good.