Heat-induced planar shock waves in supercritical fluids

We present analytical solutions to the stationary normal shock and centered rarefaction waves, which are valid for arbitrary non-ideal equations of state (EOS). Generalized shock functions are defined, which are shown to be well-behaved and locally convex, facilitating rapid and exact computation of shock ratios. For rarefactions, a novel domain mapping is used to derive flow variables as closed-form analytical functions in space and time, independent of the EOS. Results are discussed for transcritical and supercritical CO2. The solutions enable researchers to test shock-capturing codes designed for non-ideal flows, and the derivation strategy opens possibilities to revisit nonlinear hyperbolic conservation problems that traditionally lack analytical solutions.

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Explosive breakup and evolution of the thermal boundary layer around a pulse-heated microwire in sub- and supercritical CO2

Wang

2022

Physics of Fluids

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This paper reports our experimental findings aimed to understand the importance of compressibility in fluid flow and heat transfer. A platinum microwire of diameter 50 [Formula: see text] was immersed in a pressure vessel filled with [Formula: see text] at different thermodynamic states around the critical point. The microwire was heated by an electric pulse resulting in a temperature rise of about 667 K during 0.35 ms. The snapshots of [Formula: see text] and the temporal profiles of mean temperature of the microwire were recorded. An explosive breakup of the thermal boundary layer is identified, manifested by a radial spreading fluid layer with a “fluffy” boundary. Since buoyancy can only drive upward motions, such a phenomenon is closely related to compressibility, as a result of complex interactions between thermoacoustic waves and large-density-gradient interfaces. This phenomenon is also responsible for the efficient cooling observed in the first 10 ms because expansion is a cooling process and can also help to evacuate high-temperature fluid. Afterward, the flow exhibits various buoyancy-driven patterns depending on the existence and intensity of surface tension: garland-like cluster, unstable gas column, or normal bubble, followed by a continuously thinning thermal boundary layer. Both the classic and the newly revised thermodynamic phase diagrams are employed and compared in this paper, suggesting the latter is proper and informative.

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Heat-induced planar shock waves in supercritical fluids

Cited by 9 publications

References 57 publications

A block-spectral adaptive H-/p-refinement strategy for shock-dominated problems

A block-spectral adaptive H-/p-refinement strategy for shock-dominated problems

Analytical solutions to shock and expansion waves for non-ideal equations of state

Explosive breakup and evolution of the thermal boundary layer around a pulse-heated microwire in sub- and supercritical CO2

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