is there any speed train from changsha to Zhangijajie?

Hi, Veny.
For the speed trains, do you mean the high speed trains? If so, there is no high speed trains between the two places.
Trains between the two places are K9031/K9034, T8308/T8309, K9024/K9025, T8316/T8317, K967/K966, K9064/K9065, K533/K536, K1373/K1376. Except the train K9031/K9034, other trains cost around five hours and a half to six hours.

Or I think you can also choose to take the direct buses for ZJJ from Changsha West Bus Station and the buses take about four hours.

Hi, Bella
Thanks for the information. do yo know the difference between T and K train?

Here is what I know: T-trains are express ones! It has limited stops on the routes, mainly in these major cities. Almost every T-series is equipped with soft-sleeper, soft-seat, hard-sleeper and hard-seat. While K-trains are fast trains with a top speed of 120km/h. It has more stops than the T ones. They are equipped with air-condition and the four classes of berths.