There are plenty of applications that uses all types of thermal energy. These applications include:

1) Heating and Cooling Buildings

2) Mechanical Work (Engine)

3) Chemical Compound Changes uses STE

4) Manufacturing and Fabrication

5) Industrial Power

6) Continues and Reliable Energy

7) Internal Combustion Engine

          ~Airplane

          ~Rocket

          ~Air Balloons

Equation of Thermal Energy  : Q=mc∆ T

Q=thermal energy

m=mass

c=specific heat

∆ T=temperature difference

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"Calculate the thermal energy of a substance whose mass is 3kg and specific heat is 0.038J/kg°C. The temperature difference of this system is given as 60°C?
Solution:

 
From the question, it is clear that,
m = 3kg, c = 0.038J/kg°C, ΔT = 60°C
The formula for thermal energy is
Q = mcΔΔT
Q = 3××0.038××60 = 6.84J"

http://formulas.tutorvista.com/physics/thermal-energy-formula.html