A fractal analysis of laminar flow resistance in roughened microchannels

Yang, Shanshan; Yu, Bo; Zou, Mingqing; Liang, Mingchao

doi:10.1016/j.ijheatmasstransfer.2014.05.016

Cited by 106 publications

(47 citation statements)

References 39 publications

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“…Some researches (Zou et al, 2008;Cai et al, 2010;Yang et al, 2014;Guo et al, 2015) showed that the rough surfaces can be described as the cone-shaped rough elements. In this study, we also assume the rough surfaces are cone-shaped and every conic peak do not overlap each other (Fig.…”

Section: Fractal Characteristics Of Rough Surfacesmentioning

confidence: 99%

An effective thermal conductivity model for fractal porous media with rough surfaces

Qin

Zhou

Sasmito

2019

Adv. Geo-Energy Res.

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Quantitative evaluation of the effective thermal conductivity of porous media has received wide attention in science and engineering since it is a key thermophysical parameter in characterizing heat transfer properties. Based on fractal characters of tortuous capillary tubes and rough surfaces in micro-pores, we proposed a theoretical model of the effective thermal conductivity in porous media with rough surfaces. This model considers the geometrical parameters of porous media, including porosity, micro-pore fractal dimension, tortuosity fractal dimension, and relative roughness. The calculated normalized effective thermal conductivity was then validated against published experimental data. The results show good agreement between them. The influence of geometrical factors, porosity and relative surface roughness, on the effective thermal conductivity in porous media with rough surfaces are discussed and analyzed extensively.

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Section: Fractal Characteristics Of Rough Surfacesmentioning

confidence: 99%

An effective thermal conductivity model for fractal porous media with rough surfaces

Qin

Zhou

Sasmito

2019

Adv. Geo-Energy Res.

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“…Effective diameter of capillary would decrease if the capillary surface is rough (Wu et al, 2008;Yang, 2015), so we need to modify the effective diameter which is equal to λ(1 − ε). …”

Section: Mathematical Modelmentioning

confidence: 99%

The effect of flow resistance on water saturation profile for transient two-phase flow in fractal porous media

Lai

et al. 2018

Adv. Geo-Energy Res.

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Abstract:Due to the rapid development of Micro-Electro-Mechanical System (MEMS), more and more attention has been paid to the fluid properties of porous media, which is significant for petroleum engineering. However, most of surfaces of pores and capillaries in porous media are rough. On the approximation that porous medium consists of a bundle of tortuous and rough capillaries, a Buckley-Leverett conceptual model with considering flow resistance is developed based on the fractal geometry theory, which is beneficial to predict water saturation profile in porous medium. The proposed Buckley-Leverett solution is a function of fractal structural parameters (such as pore fractal dimension, tortuosity fractal dimension, maximum and minimum diameters of capillaries), fluid properties (such as viscosity, contact angle and interfacial tension) and pore structure parameter (relative roughness) in fractal porous medium. Besides, the relationship between water saturation and distance is presented according to Buckley-Leverett solution. The impaction of flow resistance on water saturation profile is discussed.

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“…As stated in the literatures, 24,25 the rough elements on rough surfaces can be considered as cone-shaped which are statistically self-similar fractals. Based on the condition that the ratio of height to base radius of conic peak is ¼ h/r, Yang et al 16 proposed formulas for the effective average height of roughness elements and the equivalent hydraulic height of the rough fracture…”

Section: Theoretical Model For Relative Permeabilitymentioning

confidence: 99%

“…The fractal dimension for the base radius distribution is in the range of 0 < D < 2. The total number of roughness elements can be written as 16,43…”

Section: Declaration Of Conflicting Interestsmentioning

confidence: 99%

“…Moreover, they stated that the flow friction and pressure drop along the fracture be increased. Yang et al 16 suggested that the presence of surface roughness can produce tortuous streamlines for flow through fractures. Due to the tortuous paths followed by the fluid particles, the fluid flow between the rough surfaces of a fracture was very complex.…”

Section: Introductionmentioning

confidence: 99%

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Theory study of gas–water relative permeability in roughened fractures

Lei

Cai

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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It has been shown that gas–water relative permeability in fracture or fractured porous media plays an important role in determination of flow characteristics for gas–water two-phase flow. The accurate prediction of gas–water two-phase flow in fracture or fractured media is hence highly important. In most recent analytical models for gas–water relative permeability in fracture, the fracture is conceptualized as smooth wall. Reliable characterization of roughened fracture surface is severely limited. The analytical models for gas–water two-phase relative permeability in roughened fracture are scarce, thus, it is desirable to develop an analytical model for gas–water relative permeability in fracture with roughened surface. The goal of this work is to present an analytical model for gas–water relative permeability in roughened fracture. The rough surface topography of roughened fracture can be addressed by fractal theory. In addition, the proposed model is modified by considering the influence of tortuosity to study the gas–water relative permeability in fractured porous media. The proposed gas–water relative permeability is found to be a function of the structural parameters of roughened fracture. The predictions of relative permeability by the proposed model have similar variation trend with available experimental data, which verifies the theoretical models. We also conduct several sensitivity studies. These proposed analytical models provides a more realistic representation of gas–water two-phase flow in roughened fracture and fractured porous media, and gives rise to more reliable gas–water relative permeability curves that can be used for analyzing gas–water two-phase flow characteristic in fractured reservoirs.

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A fractal analysis of laminar flow resistance in roughened microchannels

Cited by 106 publications

References 39 publications

An effective thermal conductivity model for fractal porous media with rough surfaces

An effective thermal conductivity model for fractal porous media with rough surfaces

The effect of flow resistance on water saturation profile for transient two-phase flow in fractal porous media

Theory study of gas–water relative permeability in roughened fractures

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