Any people can let me know that when my flight arrive to chengdu airport around 2240pm, any transport can i get it from airport to the city downtown,

Yes, the airport shuttle bus 303 is still available from the airport to the downtown area. The shuttle bus fare is around 10RMB per person.
If you plan to take a taxi, you need to go to the outside of Gate 4 and Gate 5. Taking a taxi costs about 40 to 45RMB for a car.