A superposition approach to study slip-flow forced convection in straight microchannels of uniform but arbitrary cross-section

Hooman, Kamel

doi:10.1016/j.ijheatmasstransfer.2007.12.014

Cited by 54 publications

(34 citation statements)

References 37 publications

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“…In order to eliminate the non-homogeneity of the boundary conditions and present the results as free of units, the governing equation (1) is represented as a non-dimensional equation by introducing following non-dimensional variables as [3] …”

Section: Description Of the Problemmentioning

confidence: 99%

“…However, in the present microchannel flow, a non-zero velocity is present at the boundary walls. Assuming a constant slip velocity at the boundary, a normalized velocity (U ) of flow within the microchannel is expressed as [3] …”

Section: Description Of the Problemmentioning

confidence: 99%

“…However, the fundamental understanding of flow characteristics such as velocity distribution, Poiseuille number and slip coefficient is vital for systematic design and process control of microfluidic applications [2]. It is noticed that the flow in the micro level is associated with the inclusion of slip velocity [3] and does not obey the classical continuum physics. Thus, such a flow is coupled with a non-zero fluid velocity at boundary walls.…”

Section: Introductionmentioning

confidence: 99%

“…Thus, such a flow is coupled with a non-zero fluid velocity at boundary walls. It occurs when the value of Knudsen number (Kn) ranges from 0.001 to 0.1 and corresponding flow is called as slip-flow [3]. In such a flow, the Navier-Stokes equation is combined with the slip-flow condition [4,5].…”

Section: Introductionmentioning

confidence: 99%

“…In this context, some related research works are reviewed. Hooman [3] presented a superposition approach to investigate forced convection in microducts of arbitrary cross-section in slip-flow. It is found that applying an average slip velocity and temperature jump, the no-slip/no-jump with some minor modifications is applicable.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

An Analytical Investigation for Analysis of Fluid Flow within a Microchannel of Rectangular Cross Section

Simlandi¹

2018

IJRASET

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Section: Description Of the Problemmentioning

confidence: 99%

Section: Description Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

An Analytical Investigation for Analysis of Fluid Flow within a Microchannel of Rectangular Cross Section

Simlandi¹

2018

IJRASET

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Effect of water saturation on gas slippage in circular and angular pores

Chen

et al. 2018

AIChE Journal

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A unified model for gas slip flow through circular and angular pores in both single phase flow and two-phase flow conditions is developed, and the effect of water saturation on gas slippage factors in different pore shapes are revealed. For circular pores, the water saturation retains as thin film binding on pore surfaces without changing the shape of the cross section, and the hydraulic diameters continuously reduce as water saturation increases, directly leading to an increase in the slippage factor. However, for angular pores, the water saturation retains as both films at boundaries and condensations at corners, and the film-water and corner-water gradually change their cross-section shape (from sharp corners to round corners), which further affects the gas slip behavior. Due to the presence of round corners, the ratio of the cross-sectional area and perimeter, which can also be regarded as the reciprocal of a specific surface area, can even increase at a low water saturation condition. Thus the collisions between gas molecules and pore boundaries weaken, resulting in a slight reduction in the gas slippage factor. This interesting finding in the angular pore case directly explains the contradiction of the published experimental results with the general knowledge (i.e., the gas slip factor always increases as water saturation increases). Thus, the validity of the common assumption regarding actual porous media as capillaries with a circular cross-section must be considered more carefully.

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