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Numerical Simulation of the Transient Flow Along Adiabatic Capillary Tubes Using Runge-Kutta Method

Grant number: 11/19223-4
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): March 01, 2012
Effective date (End): December 31, 2012
Field of knowledge:Engineering - Mechanical Engineering - Thermal Engineering
Principal researcher:André Luiz Seixlack
Grantee:Murilo Augusto Moreira Favaro
Home Institution: Faculdade de Engenharia (FEIS). Universidade Estadual Paulista (UNESP). Campus de Ilha Solteira. Ilha Solteira , SP, Brazil

Abstract

Capillary tubes are expansion devices extensively used in household refrigeration units and small air conditioning systems. In this research project it is proposed to simulate refrigerant flow, in steady-state and transient conditions, along adiabatic capillary tubes from the numerical solution of the governing equations of the flow: mass conservation, momentum and energy conservation. The analysis of the dynamic behavior of the flow is important, because the capillary tubes are used in refrigeration systems which are usually controlled by on-off method. The flow is taken as one-dimensional and is divided in a single-phase region, where the refrigerant is in the subcooled liquid state, and a region of two-phase flow. The capillary tube is considered straight and horizontal and the metastable flow phenomena are neglected. The homogeneous model is applied to the two-phase flow region. The governing equations of the flow are solved numerically using the Runge-Kutta fourth order. The aim has been to assess of the flow in steady-state and transient conditions and compare the results with experimental data available in literature and those calculated by other authors.

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