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Convective heat exchange of a viscoplastic fluid with temperature-dependent rheological characteristics during structural flow in a circular pipe

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

Heat exchange in a viscoplastic liquid moving in a circular pipe is investigated, taking into account the dependence of plastic viscosity and ultimate shear stress on temperature. A system of motion, energy, and continuity equations transformed under the assumption that the Pe and Pr numbers are much greater than 1 is solved on a computer by the method of finite differences using iterations. Results of the numerical solutions for the exponential form of the dependences of the rheological characteristics on temperature are analyzed in detail. A comparison of the numerical solutions with well-known theoretical solutions in particular cases and also with experimental data indicates their high precision.

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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 163–172, May–June, 1975.

The author wishes to express his appreciation to V. M. Entov and V. I. Maron for useful discussion.

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Pervushin, V.E. Convective heat exchange of a viscoplastic fluid with temperature-dependent rheological characteristics during structural flow in a circular pipe. J Appl Mech Tech Phys 16, 449–456 (1975). https://doi.org/10.1007/BF00859870

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  • DOI: https://doi.org/10.1007/BF00859870

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