A boundary layer analysis for entrance region heat transfer in vertical microchannels within the slip flow regime

Chakraborty, Suman; Som, S. K.; Rahul, *

doi:10.1016/j.ijheatmasstransfer.2008.01.019

Cited by 22 publications

(7 citation statements)

References 6 publications

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“…The dimensionless bulk temperature is given by n = A uTdA* (31) The heat transfer rate is studied using the Nusselt number based on the channel hydraulic diameter, which takes the following forms for HI and H2 cases:…”

Section: P = (30)mentioning

confidence: 99%

“…Natural convection gaseous slip now in vertical microchannels with isothermal wall conditions was numerically investigated by Biswal et al [30], in order to analyze the influence of the entrance region on the overall heat transfer characteristics. Chakraborty et al [31] presented a boundary layer analysis for entrance region heat transfer in vertical microchannels. Recently, Buonomo and Manca reported the results of two numerical studies of developing natural convection in vertical parallel plate microchannels with their walls heated at constant heat fluxes for both steady [32] and transient [33] conditions.…”

Section: Introductionmentioning

confidence: 99%

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Gaseous Slip Flow Mixed Convection in Vertical Microducts With Constant Axial Energy Input

Sadeghi

Baghani

Saidi

2013

Journal of Heat Transfer

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The present investigation is devoted to the fully developed slip fiow mixed convection in vertical microducts of two different cross sections, namely, polygon, with circle as a limiting case, and rectangle. The two axially constant heat fiux boundary conditions of HI and H2 are considered in the analysis. The velocity and temperature discontinuities at the boundary are incorporated into the solutions using the first-order slip boundary conditions. The method considered is mainly analytical in which the governing equations in cylindrical coordinates along with the symmetry conditions and finiteness of the fiow parameter at the origin are exactly satisfied. The first-order slip boundary conditions are then applied to the solution using the point matching technique. The results show that both the Nusselt number and the pressure drop parameter are increasing functions ofthe Grashofto Reynolds ratio. It is also found that, with the exception ofthe H2 Nusselt number of the triangular duct, which shows an opposite trend, both the Nusselt number and the pressure drop are decreased by increasing the Knudsen number. Furthermore, the pressure drop ofthe H2 case is found to be higher than that obtained by assuming an HI thermal boundary condition.

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Section: P = (30)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Gaseous Slip Flow Mixed Convection in Vertical Microducts With Constant Axial Energy Input

Sadeghi

Baghani

Saidi

2013

Journal of Heat Transfer

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“…It was shown that transient behaviors depended on Kn and the accommodation coefficients whereas steadystate behaviors were affected by Kn and tangential momentum accommodation coefficient. More recently, a boundary layer integral analysis to investigate the heat transfer characteristics of natural convection gas flows, in symmetrically heated vertical microchannels, in the slip flow regime, was performed in [30]. The walls were at uniform temperature and the analysis was carried out in order to capture the interplay between the boundary layer growth in the developing region and the microscale effects manifested through wallslippage and temperature jump conditions at the gasesolid interface.…”

Section: Introductionmentioning

confidence: 99%

Natural convection slip flow in a vertical microchannel heated at uniform heat flux

Buonomo¹,

Manca²

2010

International Journal of Thermal Sciences

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“…Chen and Weng [12] used a marching implicit procedure for modeling developing natural convection in micro channels to show the importance of thermal creep and highorder slip/jump conditions. Chakraborty et al [13] executed boundary layer integral analysis to investigate the heat transfer characteristics of natural convective gas microflows in symmetrically heated vertical channels. Avci and Aydin [14,15] studied mixed convective gas microflow in vertical channel for both constant wall temperature and heat flux conditions.…”

Section: Introductionmentioning

confidence: 99%

“…A numerical solution for developing and fully developed regions considering temperature jump and velocity slip with thermal creep boundary conditions is presented. The second order slip/jump conditions with thermal creep are considered without simplifications that have considered in previous studies[12,13]. The rarefaction and thermal creep effects on heat and mass flow rates are examined in detail, while comparing with macro scale solutions.PROBLEM FORMULATIONSConsider a vertical parallel plate microchannel and Cartesian coordinates x and y, as shown inFig.…”

mentioning

confidence: 99%

High Order Slip and Thermal Creep Effects in Micro Channel Natural Convection

Niazmand

Rahimi

2010

ASME 2010 8th International Conference on Nanochannels, Microchannels, and Minichannels: Parts a and B

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Developing natural convection gaseous flows in an open-ended parallel plate vertical microchannel with isothermal wall conditions are numerically investigated to analyze the rarefaction effects on heat transfer and flow characteristics in slip flow regime. The Navier-Stokes and energy equations are solve by a control volume technique subject to higher-order temperature jump and velocity slip conditions including thermal creep effects. The flow and thermal fields in the entrance and fully developed regions along with the axial variations of velocity slip, temperature jump, and heat transfer rates are examined in detail. It is found that rarefaction effects significantly influence the flow and thermal fields such that mass flow and heat transfer rates are increased considerably as compared to the continuum regime. Furthermore, thermal creep contribution to the velocity slip is found to be dominant close to the channel inlet and vanishes in the fully developed region, while velocity slip approaches a finite value there. Both Mass flow rate and thermal entrance length increase with increasing Knudsen number in slip flow regime.

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A boundary layer analysis for entrance region heat transfer in vertical microchannels within the slip flow regime

Cited by 22 publications

References 6 publications

Gaseous Slip Flow Mixed Convection in Vertical Microducts With Constant Axial Energy Input

Gaseous Slip Flow Mixed Convection in Vertical Microducts With Constant Axial Energy Input

Natural convection slip flow in a vertical microchannel heated at uniform heat flux

High Order Slip and Thermal Creep Effects in Micro Channel Natural Convection

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