Analysis and Fitting of Correlation Equations for Supercritical Methane Heat Transfer in Spiral Tubes
A study was conducted on the heat transfer correlation equation of supercritical working fluid flow in a spiral tube.Based on experimental and simulation data,the existing correlation equations were analyzed by comparing the calculated and simulated values of Nu.Four Nu criterion correlation equations were fitted,including the correlation equation that does not consider the physical properties of the working flu-id,the correlation equation that does consider the phys-ical properties of the working fluid but does not correct the specific pressure heat capacity,the correlation e-quation that considers the physical properties of the working fluid and corrects the specific pressure heat capacity,and the correlation equation that considers the curvature and the physical properties of the working fluid but does not correct the specific pressure heat ca-pacity.Among the existing Nu criterion correlation e-quations,the correlation equation that does not consider the physical properties of the working fluid has better predictive results,while the correlation equations those consider the physical properties of the working fluid have significantly higher predictive results.In the cor-relation equation that does not consider the physical properties of the working fluid,by comparing the fitted data and verifying the calculated Nu values with the simulated Nu values,it is found that the fitted correla-tion equation that does not consider the physical prop-erties of the working fluid has better predictive per-formance compared to the existing Nu criterion correla-tion equation.The fitted correlation equation that con-siders the physical properties of the working fluid but does not correct the specific pressure heat capacity has better predictive performance compared to the existing Nu criterion correlation equations and the fitted correla-tion equation that does not consider the physical prop-erties of the working fluid.The fitted correlation equa-tion that considers the physical properties of the work-ing fluid and corrects the specific pressure heat capaci-ty has better predictive performance compared to the existing Nu criterion correlation equations.However,compared with the fitted correlation equation that con-siders the physical properties of the working fluid but does not correct the specific pressure heat capacity,it does not show better predictive performance.Compared to the other three fitted Nu criterion correlation equa-tions,the fitted Nu criterion correlation equation that considers the curvature and the physical properties of the working fluid but does not correct the specific pres-sure heat capacity has the best predictive performance and is more suitable for the study of supercritical meth-ane flow and heat transfer in spiral tubes.
spiral tubesupercritical methaneheat transfer characteristicscriterion correlation equa-tion
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