Effects of viscous heating, fluid property variation, velocity slip, and temperature jump on convection through parallel plate and circular microchannels

Hooman, Kamel; Ejlali, Arash

doi:10.1016/j.icheatmasstransfer.2009.09.011

Cited by 57 publications

(27 citation statements)

References 33 publications

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“…The Navier-Stokes equations, which assume the continuum flow work well with the no-slip condition at Kn< 0.001. The continuum assumption is still valid when 0.001 <Kn< 0.1, while a finite slip condition needs to be considered at the boundary of the flow domain (e.g., Harley et al 1995;White 2006;Hooman 2007Hooman , 2008Hooman and Ejlali 2010;Mirzaei and Dehghan 2013;Dehghan et al 2015a). The regime of flow with 0.001 <Kn< 0.1 is called the slip-flow regime.…”

Section: Fig 1 Schematic Diagram Of the Problemmentioning

confidence: 99%

Analytical Study of Heat Flux Splitting in Micro-channels Filled with Porous Media

2015

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The conditions of occurring heat flux splitting (bifurcation) phenomenon in a micro-channel filled with a porous medium including internal heat generations within both the solid and fluid phases under the local thermal non-equilibrium (LTNE) condition is analytically studied in the slip regime. The channel walls are subjected to a constant heat flux. Exact solutions for both the dimensionless temperatures of the two phases and the Nusselt number are obtained. Effects of the pertinent parameters such as heat generation parameter (ω), the interphase heat transfer parameter (Vadasz in J Porous Media 15: [249][250][251][252][253][254][255][256][257][258] 2012) or Biot number (Bi), the fluid-to-solid effective conductivity ratio (k), and the temperature jump coefficient (β) on the dimensionless temperature profile (θ ) of the two phases as well as the Nusselt number are investigated. Moreover, the validity of one-equation model (the local thermal equilibrium assumption) is analyzed by comparing the Nusselt number obtained by one-equation model (LTE) with that obtained by the two-equation model (LTNE). Results reveal that the conditions at which the heat flux bifurcation (splitting) occurs in the slip regime is the same as those of the no-slip regime. In addition, a kind of heat flux bifurcation in which the solid and fluid phases have the same dimensionless temperature sign is observed in the slip regime, while it was not previously observe in the no-slip regime. It is discussed that the Nusselt number can increase or decrease with respect to ω and may have either positive or negative values in both the no-slip and slip regimes. The presence of internal heat generation intensifies the role of β in the Nusselt number reduction. In addition, the accuracy of LTE model increases with increased Bi and with decreased β, while it is not a monotonic function of k in the presence of internal heat generation. B Maziar Dehghan

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Section: Fig 1 Schematic Diagram Of the Problemmentioning

confidence: 99%

Analytical Study of Heat Flux Splitting in Micro-channels Filled with Porous Media

2015

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“…This is due to the effect of the exponential terms in Eq. (15). We also assume that the local fluid temperature is in full accommodation with the wall temperature.…”

Section: Continuum Flow Limitmentioning

confidence: 99%

“…In the slip flow regime it has been found that Nusselt number (Nu) is inversely proportional to Kn [13][14][15][16][17]. It was also found that the coefficient of friction follows a similar trend [18] with the primary reason being given as rarefaction effects [12,19].…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation of the heat and mass transfer analogy in rarefied gas flows

Bond

Goldsworthy

Wheatley

2015

International Journal of Heat and Mass Transfer

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“…More recently, Jang and Choi [3] and Chen and Ding [4] carried out numerical and analytical analysis of cooling performance of a rectangular MCHS using waterbased nanofluids with the assumption of HFD and TFD flow. Other investigations addressing the analysis of HFD and TFD flows in heat sinks can be found in [5][6][7][8][9][10][11]. In all of these investigations, regions of deviation from experimental results can be observed.…”

Section: Introductionmentioning

confidence: 99%

Study of heat transfer enhancement in a nanofluid-cooled miniature heat sink

Hashemi

Fazeli

Zirakzadeh

et al. 2012

International Communications in Heat and Mass Transfer

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Effects of viscous heating, fluid property variation, velocity slip, and temperature jump on convection through parallel plate and circular microchannels

Cited by 57 publications

References 33 publications

Analytical Study of Heat Flux Splitting in Micro-channels Filled with Porous Media

Analytical Study of Heat Flux Splitting in Micro-channels Filled with Porous Media

Numerical investigation of the heat and mass transfer analogy in rarefied gas flows

Study of heat transfer enhancement in a nanofluid-cooled miniature heat sink

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