Correlation analysis of the power law parameters for viscosity of some engineering fluids |
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| Authors: | R.B. Haj-Kacem J.V. Herráez A.A. Al-Arfaj M.A. Alkhaldi N.O. Alzamil |
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| Affiliation: | 1. Department of Chemistry, College of Science, Imam Abdulrahman Alfaisal University, Dammam, Saudi Arabia;2. Department of Quantitative Methods, FSEGN, University of Tunis Carthage, Campus Universitaire Mrezga Route Hammamet, Nabeul, Tunisia;3. Faculty of Pharmacy, University of Valencia, Valencia, Spain |
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| Abstract: | Knowledge and estimation of transport properties of fluids which are sensitive to temperature variation like viscosity are necessary in mass flow and heat transfer computation. In the present work, based on the use of econometric and statistical techniques for regression analysis and correlation tests, we propose an original equation modelling the relationship between the two parameters of viscosity power law equation. Empirical validation using data set of some pure fluids provided from the literature gives excellent statistical results which allow us to redefine the power law equation using only a single parameter. This result is important in fluids engineering since the validation of the proposed equation simplifies the estimation of viscous behaviour and the ensuing calculations by reducing the number of viscosity equation parameters and facilitating manipulations for fluids with low and moderate viscosity in engineering data which permits to estimate one unavailable parameter when the second one is available. |
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| Keywords: | Viscosity pure liquid power law correlation statistics |
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