Whether or not a 12V battery will make a 24V fan work depends largely on whether or not the fan’s starting voltage is below 12V.

Two different situations:
If the starting voltage of the 24V electric fan is greater than 12V, then the electric fan will not start.
If the starting voltage of the 24V electric fan is less than 12V, the electric fan will start.
Generally, the voltage labelled on the appliance is the rated voltage of the appliance, only when the voltage reaches this appliance will work normally, the appliance will also have a starting range, when the voltage reaches the lower limit of the range, the appliance will start, but it cannot reach the normal level. When a 24V fan is connected to a 12V battery and the battery is unable to provide enough voltage, the fan may not start, or the air speed may be less than optimal for the fan.
Risks that may occur when using a 12V battery:
1, the voltage of the battery is small, the electric fan can only get half of the voltage, which will affect the performance of the electric fan, for example, the speed is smaller and cannot achieve the cooling effect.
2, The low voltage will affect the cooling effect of the engine, which will lead to overloading of the motor and damage the mechanical parts of the electric fan and will shorten the service life of the electric fan.
Solution:
Transformer: using a transformer to convert 12V to 24V can make the electric fan operate normally within the required voltage range. However, this may increase the cost of use and is less recommended.
Using two 12V batteries in series: If you have two 12V batteries you can connect them in series to get a total voltage of 24V to make the fan function properly. This can be used as a temporary solution, but may increase the total resistance and reduce the efficiency of the batteries.
Use 24V batteries directly: the safest way is to buy 24V batteries, which are more suitable for long-term use of the electric fan and will not cause unnecessary damage to the fan.