Convective Heat Transfer in Microscale Slip Flow

Yazıcıoğlu, Almıla G.; Kakaç, S.

doi:10.1007/978-90-481-9029-4_2

“…This may be due to the fact that test data on Nusselt number has not been reported extensively in the literature. A comparison among the Nusselt numbers (Nu) predicted by various first‐order models and the present prediction for various Knudsen numbers (Kn) is shown in Tables and . It is observed that the results obtained by the present solution is found to be in good agreement with the reported analytical prediction for Kn = 0.…”

Section: Resultsmentioning

confidence: 96%

Analysis of Gaseous Flow Between Parallel Plates by Second‐ Order Velocity Slip and Temperature Jump Boundary Conditions

Kushwaha

¹

,

Sahu

²

2013

Heat Trans. Asian Res.

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In this study the momentum and energy equations are solved to analyze the flow between two parallel plates by employing second-order velocity slip and temperature jump conditions. The flow is considered to be laminar, incompressible, hydrodynamically/thermally fully developed, and steady state. In addition to the isoflux condition, viscous dissipation is included in the analysis. Closed form expressions for the temperature field and Nusselt number are obtained as a function of the Knudsen number and Brinkman number. The Nusselt number obtained by employing the second-order model is found to be lower compared to the continuum value and agrees well with the other theoretical models.

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“…With the introduction of these non-dimensional terms, equation 1. 20 becomes (Yazicioglu and Kakaç 2010)…”

Section: Governing Equations and Dimensionless Numbers In Heat Convecmentioning

confidence: 99%

Thermal Transport in Micro- and Nanoscale Systems

Maitra¹,

Zhang²,

Tiwari³

2018

Handbook of Thermal Science and Engineering

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Small scale (micro/nanoscale) heat transfer has broad and exciting range of applications. Heat transfer at small scale quite naturally is influenced-sometimes dramatically-with high surface area to volume ratios. This in effect means that heat transfer in small scale devices and systems is influenced by surface treatment and surface morphology. Importantly, interfacial dynamic effects are at least non-negligible and there is a strong potential to engineer the performance of such devices using the progress in micro and nanomanufacturing technologies. With this motivation, the emphasis here is on heat conduction and convection. The chapter starts with a broad introduction to Boltzmann Transport equation which can capture the physics of small scale heat transport and outlining the reasons why small scale transport distinct from classical micro scale heat transport. Among applications, examples are thermoelectric and thermal interface materials where micro and nanofabrication has led to impressive figure of merits and thermal management performance. Basic of phonon transport and its manipulation through nanostructuring materials are discussed in detail. Small scale single phase convection and the crucial role it has played in developing the thermal management solutions for next generation of electronics and energy harvesting devices are discussed as next topic. Features of micro cooling platforms and physics of optimized thermal transport using micro channel manifold heat sinks are discussed in detail along with a discussion of how such systems also facilitate use of low grade, waste heat from data centres and photovoltaic modules. Phase changes process and their control using surface micro/nanostructure are discussed next. Among the feature considered, the first are microscale heat pipes where capillary effects play an important role. Next the role of nanostructures in controlling nucleation and mobility in boiling, condensation and icing are discussed great detail. Special emphasis is placed on the limitations of current surface and device manufacture technologies while also

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Thermal Transport in Micro- and Nanoscale Systems

Maitra

¹

,

Zhang

²

,

Tiwari

³

2017

Handbook of Thermal Science and Engineering

1

0

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Small scale (micro/nanoscale) heat transfer has broad and exciting range of applications. Heat transfer at small scale quite naturally is influenced-sometimes dramatically-with high surface area to volume ratios. This in effect means that heat transfer in small scale devices and systems is influenced by surface treatment and surface morphology. Importantly, interfacial dynamic effects are at least non-negligible and there is a strong potential to engineer the performance of such devices using the progress in micro and nanomanufacturing technologies. With this motivation, the emphasis here is on heat conduction and convection. The chapter starts with a broad introduction to Boltzmann Transport equation which can capture the physics of small scale heat transport and outlining the reasons why small scale transport distinct from classical micro scale heat transport. Among applications, examples are thermoelectric and thermal interface materials where micro and nanofabrication has led to impressive figure of merits and thermal management performance. Basic of phonon transport and its manipulation through nanostructuring materials are discussed in detail. Small scale single phase convection and the crucial role it has played in developing the thermal management solutions for next generation of electronics and energy harvesting devices are discussed as next topic. Features of micro cooling platforms and physics of optimized thermal transport using micro channel manifold heat sinks are discussed in detail along with a discussion of how such systems also facilitate use of low grade, waste heat from data centres and photovoltaic modules. Phase changes process and their control using surface micro/nanostructure are discussed next. Among the feature considered, the first are microscale heat pipes where capillary effects play an important role. Next the role of nanostructures in controlling nucleation and mobility in boiling, condensation and icing are discussed great detail. Special emphasis is placed on the limitations of current surface and device manufacture technologies while also

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Convective Heat Transfer in Microscale Slip Flow

Cited by 5 publications

References 36 publications

Analysis of Gaseous Flow Between Parallel Plates by Second‐ Order Velocity Slip and Temperature Jump Boundary Conditions

Analysis of Gaseous Flow Between Parallel Plates by Second‐ Order Velocity Slip and Temperature Jump Boundary Conditions

Thermal Transport in Micro- and Nanoscale Systems

Thermal Transport in Micro- and Nanoscale Systems

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