Experimental Challenges in Determining Heat Transfer Efficiency Scaling in Highly Turbulent Cryogenic Rayleigh-Benard Convection

TL;DR

This paper analyzes the experimental challenges and uncertainties in measuring heat transfer efficiency scaling in highly turbulent cryogenic Rayleigh-Benard convection, emphasizing the importance of rigorous data correction and uncertainty analysis.

Contribution

It provides a detailed methodology for uncertainty analysis and data correction procedures specific to cryogenic RBC experiments, aiding accurate interpretation of heat transfer scaling.

Findings

Highlighting the importance of uncertainty analysis in RBC experiments.

Demonstrating how experimental imperfections can mimic regime transitions.

Providing correction procedures for cryogenic RBC data.

Abstract

Cryogenic Rayleigh-Benard convection (RBC) at very high Rayleigh numbers (Ra) serves as a key system for understanding buoyancy-driven industrial and large scale natural flows and for testing theories of turbulent convective heat transport. Cryogenic helium experiments allow one to reach extremely high Ra under well-controlled laboratory conditions; however, interpretation of the resulting heat-transfer scalings remains sensitive to non-Oberbeck-Boussinesq (NOB) effects, experimental uncertainties, as well as a number of corrections that ought to be applied to raw data, including corrections for the adiabatic temperature gradient, parasitic heat leaks, or finite thermal conductivity of plates and sidewalls of RBC cells. We present an analysis of experimental uncertainties and data corrections procedures applicable to cryogenic RBC experiments, specifically to those performed in cylindrical RBC cells in Brno: measurement uncertainties, parasitic effects, choice of 4He working points in the p-T diagram and evaluation of relevant properties of the particular working fluid in connection with the available thermophysical property databases. In particular, our study highlights the necessity of rigorous uncertainty analysis for assessing experimental evidence suggesting either transition to the ultimate regime of RBC due to intrinsic ultimate-regime dynamics or as a manifestation of NOB effects and experimental imperfections.