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Hydraulic impact of “exponential” and nonlinearly viscoplastic media in pipes made of a viscoplastic material

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Abstract

Differential equations are derived and the hydraulic impact process for “exponential” and nonlinearly viscoplastic media in pipes made of a viscoelastic material is analyzed. Hydraulic impact problems for actual media in pipes has been repeatedly treated in the literature [1–4]. The hydraulic impact of a viscous and linearly viscoplastic media in pipes made of an elastic and viscoelastic material was studied in this work. It is well known [5] that many media in the region of low and moderate shear rates reveal a nonlinearity of the flow curve (oil, drilling fluids, polymer solutions and melts, loaded fuels, fuel mixtures, blood, etc.). It should be noted that flexible pipes made of natural materials (pipe boreholes made of polymer materials, membranes of blood vessels, etc.) are described by complicated rheological equations of state for viscoelastic media. Thus a calculation of the influence of nonlinearity of these media and of the viscoelastic properties of the pipe material on the hydraulic impact process is of theoretical and practical interest in many engineering problems.

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Literature cited

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Authors and Affiliations

  1. Baku

    R. M. Sattarov

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  1. R. M. Sattarov
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 136–141, May–June, 1975.

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Sattarov, R.M. Hydraulic impact of “exponential” and nonlinearly viscoplastic media in pipes made of a viscoplastic material. J Appl Mech Tech Phys 16, 425–429 (1975). https://doi.org/10.1007/BF00859866

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  • DOI: https://doi.org/10.1007/BF00859866

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