Transient Analysis of a Circular Foil Gage in a Convective and Radiative Environment

Area of Science:

• Thermal analysis
• Heat transfer
• Fluid dynamics

Background:

• Circular thin-foil gages are crucial for measuring heat flux.
• Understanding transient effects and convective heat transfer is vital for accurate measurements.
• Cooling water temperature fluctuations can impact gage performance.

Purpose of the Study:

• To analyze a circular thin-foil gage considering transient effects and convective heat transfer.
• To develop a model that accounts for time-varying boundary conditions due to cooling water temperature.
• To provide closed-form response curves for various heat transfer modes.

Main Methods:

• Governing energy equation solved using Laplace transform.
• Analysis includes transient effects, convective heat transfer, and time-varying boundary conditions.
• Steady-state results derived as limiting cases.

Main Results:

• Temporal and spatial temperature distributions of the foil obtained.
• Closed-form response curves provided for various heat transfer modes.
• Steady-state solutions presented as limiting cases.

Conclusions:

• The analysis provides a comprehensive understanding of thin-foil gage behavior under dynamic conditions.
• The developed model accurately predicts foil temperature distributions.
• The response curves are valuable for accurate heat flux measurements in systems with fluctuating cooling water temperatures.