Non-isothermal hydrodynamic modeling and analysis for the flow boiling in microchannels based heat exchanger

초록

In order to investigate the interfacial transport phenomena and the dynamics of two-phase flow in complex microchannel-based heat exchangers using phase field theory, a non-isothermal hydrodynamic model is formulated for quasi-incompressible binary fluids. We present the governing equations rigorously, which is composed of Cahn-Hilliard equations, quasi-incompressible Navier-Stokes equations and an energy equation. In order to prove the second law of thermodynamics and energy conservation law, strict theoretical system has been established. This system is an upgrade and modification for previous models in dealing with interfacial problems. By deriving the semi-discrete numerical schemes in time using the Crank-Nicolson method, we get a new algorithm efficiently and stably. The second law of thermodynamics and energy conservation law are also proved to be valid in numerical schemes. A series of numerical experiments have been conducted to demonstrate the stability and robustness of our algorithm.

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