A mathematical model for the axial migration of suspended particles in tube flow
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A plausible model for the decrease in particle concentration in a fluid suspension flowing through a tube has been developed. It involves only reasonable postulations of the concentration and viscosity profiles. With proper mathematical manipulations, it is developed into a simple expression relating the Reynolds and Kármán numbers and two empirical parameters to the concentration reduction. All correlations are reasonable. However, the two empirical parameters are inseparable in the final mathematical expression, thus making the plotting of the concentration and viscosity profile virtually impossible. Other models based on the same idea but evolved into a different form should be sought. Although calculations and correlations were attempted, missing information behind the data has made them at best only good indicators. Future experimental work aimed at obtaining all variables called for in this model is highly recommended.
KeywordsReynolds Number Particle Concentration Tube Flow Pure Fluid Viscosity Profile
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