Motion of a Gas–Liquid Mixture in the Bed–Pipeline System Subject to Heat Transfer

• Published in: Journal of engineering physics and thermophysics Vol. 96; no. 3; pp. 794 - 808
• Main Authors: Abbasov, É. M., Agaeva, N. A.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.05.2023; Springer; Springer Nature B.V
• Subjects: Analysis; Beds (process engineering); Boundary value problems; Classical Mechanics; Complex Systems; Engineering; Engineering Thermodynamics; Heat and Mass Transfer; Heat and Mass Transfer in Dispersed and Porous Media; Heat transfer; Industrial Chemistry/Chemical Engineering; Mixtures; Parameters; Pipe lines; Rheological properties; Thermodynamics; viscosity; differential equation; heat exchange; Laplace transform; gas–liquid mixture
• ISSN: 1062-0125; 1573-871X
• DOI: 10.1007/s10891-023-02741-w

A model of nonstationary motion of a gas–liquid mixture in a bed–pipeline system, with a new source included in the main line has been constructed taking into account heat transfer between a gas–liquid mixture flow in a rising pipe and the medium around the flow, and solutions to boundary-value problems are given. In the first approximation, the influence of a change in the rheological properties of the gas–liquid mixture with temperature on the dynamics of its motion is determined. Analytical formulas have been obtained making it possible to determine the dynamics of pressure at the bottom of the well and the productivity of the bed depending on the parameters of the system. Numerical calculations are carried out at practical values of the system parameters.