Application of Lubrication Theory and Study of Roughness Pitch During Laminar, Transition, and Low Reynolds Number Turbulent Flow at Microscale

Brackbill, Timothy P.; Kandlikar, Satish G.

doi:10.1080/01457630903466621

Cited by 23 publications

(14 citation statements)

References 20 publications

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“…The experimental data on the transition Reynolds number by Brackbill and Kandlikar (2010) agrees well with the above model. At a relative roughness value of 27.6%, the turbulent transition was observed to occur at a Reynolds number of only 200.…”

Section: Roughness Effect On the Laminar-to-turbulent Flow Transitionsupporting

confidence: 85%

“…For 0:08 , ε=D h;cf # 0:15: Re t;cf 5 800 2 3270ðε=D h;cf 2 0:08Þ (3.41) Brackbill and Kandlikar (2010) further modified Eq. (3.40) to match the transition Reynolds number for the base channel for a roughness height of zero (smooth channel), Re 0 as follows.…”

Section: Roughness Effect On the Laminar-to-turbulent Flow Transitionmentioning

confidence: 99%

“…Recently, Brackbill and Kandlikar (2010) studied the friction factors for rough channels in the transition and turbulent regions. They found that for structured two-dimensional roughness elements, such as grooves, the fully developed friction factors were reduced as the pitch increased.…”

Section: Roughness Effect On Friction Factormentioning

confidence: 99%

“…Brackbill and Kandlikar (2010) tested the sawtooth roughness elements of different heights and different pitch to roughness height ratios (β) between 4 and 40, in the relative roughness range from 1.4% to 27.6%. Figure 3.16 shows the results for two roughness elements: (i) a roughness height of 99 μm and a pitch of 405 μm, and (ii) a roughness height of 52 μm and a pitch of 1008 μm.…”

Section: Roughness Effect On Friction Factormentioning

confidence: 99%

“…Lubrication model: Brackbill and Kandlikar (2010) applied lubrication approximation to the rough channels by neglecting the radial velocity component near the roughness elements on the wall and integrating the localized velocity profile. In the laminar region for relative roughness below 5%, the constricted model of Constricted friction factor versus constricted Reynolds number plot with two sawtooth roughness elements and varying channel height in the laminar, transition, and turbulent regions.…”

Section: Roughness Effect On Friction Factormentioning

confidence: 99%

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Single-Phase Liquid Flow in Minichannels and Microchannels

Kandlikar

2014

Heat Transfer and Fluid Flow in Minichannels and Microchannels

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Section: Roughness Effect On the Laminar-to-turbulent Flow Transitionsupporting

confidence: 85%

Section: Roughness Effect On the Laminar-to-turbulent Flow Transitionmentioning

confidence: 99%

Section: Roughness Effect On Friction Factormentioning

confidence: 99%

Section: Roughness Effect On Friction Factormentioning

confidence: 99%

Section: Roughness Effect On Friction Factormentioning

confidence: 99%

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Single-Phase Liquid Flow in Minichannels and Microchannels

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A review of mechanical deformation and seepage mechanism of rock with filled joints

Yue,

Li,

Liu

et al. 2024

Deep Underground Science and Engineering

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Various defects exist in natural rock masses, with filled joints being a vital factor complicating both the mechanical characteristics and seepage mechanisms of the rock mass. Filled jointed rocks usually show mechanical properties that are weaker than those of intact rocks but stronger than those of rocks with fractures. The shape of the rock, filling material, prefabricated fissure geometry, fissure roughness, fissure inclination angle, and other factors mainly influence the mechanical and seepage properties. This paper systematically reviews the research progress and findings on filled rock joints, focusing on three key aspects: mechanical properties, seepage properties, and flow properties under mechanical response. First, the study emphasizes the effects of prefabricated defects (shape, size, filling material, inclination angle, and other factors) on the mechanical properties of the rock. The fracture extension behavior of rock masses is revealed by the stress state of rocks with filled joints under uniaxial compression, using advanced auxiliary test techniques. Second, the seepage properties of rocks with filled joints are discussed and summarized through theoretical analysis, experimental research, and numerical simulations, focusing on organizing the seepage equations of these rocks. The study also considers the form of failure under stress–seepage coupling for both fully filled and partially filled fissured rocks. Finally, the limitations in the current research on the rock with filled joints are pointed out. It is emphasized that the specimens should more closely resemble real conditions, the analysis of mechanical indexes should be multi‐parameterized, the construction of the seepage model should be refined, and the engineering coupling application should be multi‐field–multiphase.

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