Abstract
Multi-stage refrigeration systems cover a wide range of possibilities and are diffusing more and more. The idea that inspired this work derived from the need to have a tool to model the energy behavior of the intercooler inside a multi-stage refrigeration system. In this work, a semi-analytical model of a single bubble, injected into the liquid of an intercooler of a multi-stage system, has been developed. The developed model is a set of equations derived from the Fourier equation for heat conduction in defined conditions and includes the effects of sensible and latent heat. The vapor bubble is supposed to be injected in the saturated liquid contained in a tank at a defined depth, at an intermediate pressure. The model has been implemented in Matlab and the results show the influence of the liquid surface tension, the injection depth and the thermal diffusivity of the vapor. The model developed here is a useful low-cost tool for evaluating heat transfer optimization of a separator/intercooler of a multi-stage refrigeration system.
Highlights
The growing demand for energy for industrial applications and the need to protect the environment for future generations requires effort to make the production processes more efficient, from the early design stages, through to the adoption of innovative techniques and systems both with low environmental impact and economic sustainability
The buoyant of a thermal gradient, where the vapor is affected by the presence of the motion upward, tends to zero as the vapor cools down to reach the liquid condition
When the amplitude of the transition region equals the instantaneous radius of variation of at least 1% higher than the injection temperature), where the vapor is affected by the the bubble, even the core of the vapor, that behaves as a thermal reservoir up to that moment, presence of the liquid, by changing its temperature with respect to the initial value
Summary
The growing demand for energy for industrial applications and the need to protect the environment for future generations requires effort to make the production processes more efficient, from the early design stages, through to the adoption of innovative techniques and systems both with low environmental impact and economic sustainability. Bubble that expands in a superheated, infinitely extended, inviscid and incompressible liquid bath, Thefrom experimental campaign on this the topic is hard to carry out as by Bohdal [8], starting an initial radius, neglecting effects of surface tension andshown considers the growth who investigated heat transfer and pressure drop during bubbly boiling in a refrigeration fluid, phenomenon due to differences in pressure across the liquid‐vapor interface (inertial model). Investigated heat transfer and pressure drop during bubbly boiling in a refrigeration fluid, Merrill et al [11] analytically studied the bubble behavior, from inception to collapse, in a subcooled binary liquid solution using a finite difference method to solve the governing equations, describing bubble diameter and mass over time. The proposed model has other potential applicability in the study of two-phase heat and mass transfer occurring in many heat exchangers
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