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Analytical solutions of the helical flow of non newtonian fluid in eccentric annular space

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Abstract

Many problems in petroleum and chemical industry can be reduced to the solutions of the helical flow of Non-newtonian fluid in eccentric annular space. This paper studies the flow law of the laminar helical flow of the power law fluid and Bingham fluid in eccentric annular space and the determination of the flow state. In theory, by the principle of the fluid mechanics, with methematical methods, based on our theory of the helical flow in concentric annular space and through the infinite subdivision method for the flow field of eccentric annular space helical flow, the apparent viscosity distribution, the velocity distribution, the flow rate and the pressure drop equation of the field can be given, and then the stability parameter, characterizing the transition from laminar to turbulent flow, is established.

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Communicated by Chien Wei-zang

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Hai-qiao, Z., Ji-zhou, W. Analytical solutions of the helical flow of non newtonian fluid in eccentric annular space. Appl Math Mech 15, 657–670 (1994). https://doi.org/10.1007/BF02451614

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  • DOI: https://doi.org/10.1007/BF02451614

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