Development of Empirical Correlations by Regression Analysis and Curve Fitting method for Uncleaned Sugar Cane Juice with Equispaced Tape Inserts

Abstract

The presented work focuses on the development of empirical correlations to represent the change in Reynolds number and twist ratio on friction factor and also to represent the effects of Reynolds number, Prandtl number and twist ratio on Nusselt number. The proposed experimental investigations carried out are based on the implementation of full length equispaced tape inserts by using uncleaned sugar cane juice as a test fluid. The results are proposed by using food grade Stainless Steel, Copper and Aluminium material twisted tapes with twist ratios 3.01, 5.06, 6.78 and 8.39. Empirical correlations are developed by regression analysis for friction factor and Nusselt number. The curve fitting of friction factor, heat transfer coefficient and Nusselt number are presented. The correlations are developed to understand the trend of the flow. The experimental data is compared with the results obtained by correlations. The average mean error is found for all types of tape materials. The average mean error of friction factor food grade Stainless Steel is found 7.18% with the experimental results. For Copper and Aluminum twisted tape material the average mean error of friction factor is found as 14.99% and 9.71% respectively. The average mean error of Nusselt number is found as 2.47% for food grade Stainless Steel material with the experimental data. The average mean error of Nusselt number for Copper and Aluminum are found as 3.94% and 1.75% respectively.