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Mathematical Modeling of the Working Processes in a Bicylindrical Spur Gear Pump

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Chemical and Petroleum Engineering Aims and scope

Two approaches to mathematical modeling of the working processes of a new design, a bicylindrical spur gear pump, are considered. The first approach is based on Bernoulli’s equation, Hooke’s law, and the laws of conservation of mass, energy, and the dynamics of motion. The k–ε model of turbulence is used in the second approach to model the working processes of the pump. A comparison of the use of the two approaches is conducted. A dependence of the instantaneous delivery of the pump on the rotation angle of the rotors is established.

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Correspondence to V. E. Shcherba.

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Translated from Khimicheskoe i Neftegazovoe Mashinostroenie, No. 2, pp. 26–30, February, 2015.

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Grigor’ev, A.V., Shcherba, V.E. & Bolshtyanskii, A.P. Mathematical Modeling of the Working Processes in a Bicylindrical Spur Gear Pump. Chem Petrol Eng 51, 113–121 (2015). https://doi.org/10.1007/s10556-015-0009-0

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  • DOI: https://doi.org/10.1007/s10556-015-0009-0

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