Problems with wet air cooling

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I was wondering if there are any friends who have experience using wet air cooling. Wet air cooling is employed at the top of the distillation tower in diesel hydrogenation units. Currently, the average temperature is around 25°C, and the temperature after cooling down can reach around 33°C. Is this the maximum temperature that can be achieved after cooling? It was also found during use that an excessive flow rate of water from the spray pump actually led to an increase in the temperature after cooling. The temperature of the water used for spraying is around 35°C. Has anyone studied the flow rate of water for spraying? The air-cooled temperature is 33°C, but the temperature of the naphtha after it is pressurized by the pump rises by about 5°C. Since the designed operating temperature for this unit is 40°C or less, over-temperature conditions often occur when temperatures are high. Is a rise of 5°C considered normal? The pressure in the distillation tower is 0.13 Mpa, while the pressure at the pump outlet is 0.8 Mpa