Laminar flow in rectangular channels. Part I: Entry analysis. Part II: Numerical solution for a square channel?

Rubin, S. G.; Khosla, P. K.; Saari, S.

doi:10.1016/0045-7930(77)90021-4

Cited by 20 publications

(2 citation statements)

References 12 publications

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“…Given the length of the liquid column in the nanochannels, the local heat flux at the interface for steady-state evaporation is written as (see Section S11, Supporting Information) where ρ L denotes liquid density, h is the channel height, Δ P is the pressure gradient in the liquid phase, μ is the dynamic viscosity of liquid, and L is the length of liquid in the nanochannels. The determined heat fluxes as a function of length of liquid in the nanochannels at three different temperatures are shown in Figure .…”

Section: Resultsmentioning

confidence: 99%

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Ultrahigh Evaporative Heat Fluxes in Nanoconfined Geometries

et al. 2018

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Advancement in high-performance photonics/electronics devices has boosted generated thermal energy, making thermal management a bottleneck for accelerated innovation in these disciplines. Although various methods have been used to tackle the thermal management problem, evaporation with nanometer fluid thickness is one of the most promising approaches for future technological demands. Here, we studied thin-film evaporation in nanochannels under absolute negative pressure in both transient and steady-state conditions. We demonstrated that thin-film evaporation in nanochannels can be a bubble-free process even at temperatures higher than boiling temperature, providing high reliability in thermal management systems. To achieve this bubble-free characteristic, the dimension of nanochannels should be smaller than the critical nucleolus dimension. In transient evaporative conditions, there is a plateau in the velocity of liquid in the nanochannels, which limits the evaporative heat flux. This limit is imposed by liquid viscous dissipation in the moving evaporative meniscus. In contrast, in steady-state condition, unprecedented average interfacial heat flux of 11 ± 2 kW cm–2 is achieved in the nanochannels, which corresponds to liquid velocity of 0.204 m s–1. This ultrahigh heat flux is demonstrated for a long period of time. The vapor outward transport from the interface is both advective and diffusion controlled. The momentum transport of liquid to the interface is the limiting physics of evaporation at steady state. The developed concept and platform provide a rational route to design thermal management technologies for high-performance electronic systems.

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Section: Resultsmentioning

confidence: 99%

“…Given the length of the liquid column in the nanochannels, the local heat flux at the interface for steady-state evaporation is written as 57 (see Section S11, Supporting Information)…”

Section: ■ Results and Discussionmentioning

confidence: 99%

Ultrahigh Evaporative Heat Fluxes in Nanoconfined Geometries

et al. 2018

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A modified dodge algorithm for the parabolized Navier–Stokes equations and compressible duct flows

Cooke

Dwoyer

1983

Numerical Methods in Fluids

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Global pressure relaxation for laminar two‐dimensional internal flow

Rosenbaum

Rubin

1990

Numerical Methods in Fluids

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SUMMARYThis study extends the reduced Navier-Stokes (RNS) global pressure relaxation procedure developed by Rubin and co-workers for external flow to internal flow applications. The streamwise pressure gradient is split into a backward-differenced or initial value component, as in boundary layer marching, and a forwarddifferenced or boundary value component that represents the elliptic downstream effects. The streamwise convection terms are upwind-differenced and all other streamwise derivatives are backward-differenced. We thus obtain a standard boundary layer marching technique imbedded in a conventional line relaxation technique. For compressible flow the pressure iteration determines the interior flow interation as well as the inlet mass flux that is consistent with the outflow pressure boundary condition. Results have been computed for incompressible flow in both rectangular and curved channels, and for subsonic compressible flow in the simulation of an aerofoil in a wind tunnel. Converged solutions were obtained over a range of Reynolds numbers generating small to moderately large separation bubbles.

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Laminar flow in rectangular channels. Part I: Entry analysis. Part II: Numerical solution for a square channel?

Cited by 20 publications

References 12 publications

Ultrahigh Evaporative Heat Fluxes in Nanoconfined Geometries

Ultrahigh Evaporative Heat Fluxes in Nanoconfined Geometries

A modified dodge algorithm for the parabolized Navier–Stokes equations and compressible duct flows

Global pressure relaxation for laminar two‐dimensional internal flow

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