An algorithm developed for solving Navier-Stocks equations for cryogenic liquid flowing in a tube

UDC 531+681

An algorithm developed for solving Navier-Stocks equations for cryogenic liquid flowing in a tube

Zaitsev A.V.


Abstract
Finite-difference realization of a differential equation system for movement, continuity and energy has been developed jointly with equation of state to calculate three dimensional transient profiles of longitudinal velocity, pressure, temperature and density of a viscous medium flowing inside a tube. An algorithm and an appropriate computer program have been elaborated and numerical values for a concrete cryogenic substance – one-phase (liquid) methane, with specific initial and boundary conditions – have been obtained.

Keywords: Navier-Stocks equation, longitudinal velocity, pressure.


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