Method for measuring thermal diffusivity performance and system thereof

A thermal diffusivity performance measurement system configured to measure a temperature of a pillar comprising:

• a heater, configured to heat the pillar;
• a temperature sensor, disposed at the pillar and measuring the temperature of the pillar;
• and
• a calculation unit, connected to the temperature sensor;
• wherein the calculation unit is to calculate a ratio of heat conduction to convection intensity per unit conduction intensity and a dimensionless time based on a plurality of measuring results of the temperature sensor;
• wherein the calculation unit introduces the ratio of the heat conduction to the convection intensity per unit conduction intensity and the dimensionless time into a first equation as following:
• θ
• 
• (
• X
• ,
• τ
• )
• =
• cosh
• 
• 
• (
• M
• -
• M
• 
• X
• )
• 
• sech
• 
• 
• (
• M
• )
• +
• ∑
• n
• =
• 1
• N
• 
• -
• 2
• 
• λ
• n
• M
• 2
• +
• λ
• n
• 2
• 
• sin
• 
• (
• λ
• n
• 
• X
• )
• 
• e
• -
• (
• M
• 2
• +
• λ
• n
• 2
• )
• 
• τ
• wherein
• λ
• n
• =
• (
• n
• -
• 1
• 2
• )
• 
• π
• ,
• M
• =
• 4
• 
• h
• k
• 
• D
• 
• L
• ,
• X is a dimensionless axial coordinate, τ is a dimensionless time, N is a positive integer, λ is a characteristic value, M is a ratio of the heat conduction to the convection intensity, h is a heat convection coefficient, and k is a heat transfer coefficient, D is a diameter of the cylinder, L is a length of the pillar, t is a time;
• wherein the calculation unit calculates the ratio of the heat conduction to the convection intensity after measuring an instantaneous temperature and a steady-state temperature of the pillar via the temperature sensor, and then the dimensionless time, a temperature predictive model being obtained after the first equation is solved.