A new model of bubble Sauter mean diameter in fine bubble-dominated columns

Wang, Baorong; Yang, Guoqiang; Tian, Hongzhou; Li, Xiabing; Yang, Gaodong; Shi, Yukai; Zheng, Zhuo; Zhang, Feng; Zhang, Zhibing

doi:10.1016/j.cej.2020.124673

Cited by 28 publications

(13 citation statements)

References 31 publications

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“…Smaller particles, which have stronger suspension ability and larger surface area concentration, can deposit deeper in human respiration system and carry more toxins into the body. In order to indicate the difference of surface area concentration and particle size, SMD is defined as [ 25 , 26 , 27 , 28 ]:

where

is the volume concentration of PM,

is the surface area concentration,

is the mass concentration,

is a constant value representing the density of PM [ 29 ]. As described in Equation ( 1 ), SMD indicates the particle size information of PM.…”

Section: Materials and Methodsmentioning

confidence: 99%

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A Simple Optical Aerosol Sensing Method of Sauter Mean Diameter for Particulate Matter Monitoring

Chen

Deng

et al. 2022

Biosensors

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Mass concentration is a commonly used but insufficient metric to evaluate the particulate matter (PM) exposure hazard. Recent studies have declared that small particles have more serious impacts on human health than big particles given the same mass concentration. However, state-of-the-art PM sensors cannot provide explicit information of the particle size for further analysis. In this work, we adopt Sauter mean diameter (SMD) as a key metric to reflect the particle size besides the mass concentration. To measure SMD, an effective optical sensing method and a proof-of-concept prototype sensor are proposed by using dual wavelengths technology. In the proposed method, a non-linear conversion model is developed to improve the SMD measurement accuracy for aerosol samples of different particle size distributions and reflective indices based on multiple scattering channels. In the experiment of Di-Ethyl-Hexyl-Sebacate (DEHS) aerosols, the outputs of our prototype sensor demonstrated a good agreement with existing laboratory reference instruments with maximum SMD measurement error down to 7.04%. Furthermore, the simplicity, feasibility and low-cost features of this new method present great potential for distributed PM monitoring, to support sophisticated human exposure hazard assessment.

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where

is the volume concentration of PM,

is the surface area concentration,

is the mass concentration,

is a constant value representing the density of PM [ 29 ]. As described in Equation ( 1 ), SMD indicates the particle size information of PM.…”

Section: Materials and Methodsmentioning

confidence: 99%

Section: The Definition Of Smd Of Particulate Mattermentioning

confidence: 99%

A Simple Optical Aerosol Sensing Method of Sauter Mean Diameter for Particulate Matter Monitoring

Chen

Deng

et al. 2022

Biosensors

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“…The d 32 is essential for mass transfer calculation, which relates to the interfacial area of the dispersed phase. Based on the log-normal distribution function, the calculation of d 32 is defined as d 32 = d max false( d max / d min false) − 1 / 2 exp [ 3.5 ( 4 + 0.5 ln d max / d min − 2 ) 2 ] where d min is the diameter of the minimum bubbles and d max is the diameter of the maximum bubbles. d min and d max are defined as d min = 11.4 false( μ normalL / ρ normalL false) 3 / 4 ε − 1 / 4 d max = ε − 2 / 5 false( σ normalL W e normalc rit / 2 ρ normalL false) 3 / 5 where μ L is the dynamic viscosity of the liquid, σ L is the surface tension, ρ L is the density of the liquid, We crit is the critical Weber number, and ε is the en...…”

Section: Model For D 32 Calculationmentioning

confidence: 99%

“…The d 32 is essential for mass transfer calculation, which relates to the interfacial area of the dispersed phase. Based on the log-normal distribution function, the calculation of d 32 is defined as where d min is the diameter of the minimum bubbles and d max is the diameter of the maximum bubbles. d min and d max are defined as where μ L is the dynamic viscosity of the liquid, σ L is the surface tension, ρ L is the density of the liquid, We crit is the critical Weber number, and ε is the energy dissipation rate that can be calculated by the model in our manuscript (I).…”

Section: Model For D 32 Calculationmentioning

confidence: 99%

HiGee Microbubble Generator: (II) Controllable Preparation of Microbubbles

Jiang

Wang

Liao

et al. 2022

Ind. Eng. Chem. Res.

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Microbubbles can significantly intensify the gas–liquid mass transfer process. With the current bubble generators, it is difficult to achieve the controllable preparation of microbubbles with gas–liquid volume flow rate ratios greater than 0.5, which limits the applications of the microbubble technology. In our manuscript (I), a HiGee microbubble generator (HMG) has been developed with a variable energy dissipation rate. In this work, the HMG was first employed to produce microbubbles. Under the experimental conditions, the Sauter mean diameter (d 32) of the microbubbles was 100–300 μm and could be easily adjusted by the rotational speed. The deviations between the d 32 calculated by the energy dissipation rate model established in manuscript (I) and the experimental values were within ±10%, demonstrating the reliability of the energy dissipation rate model of HMG. Compared with other bubble generators, HMG is proved to be an excellent generator to produce controllable microbubbles, especially for relatively high gas–liquid volume flow rate ratio processes.

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“…Researchers were committed to develop a generator which can produce microbubbles with controllable size and narrow distribution under low energy consumption . The controllable size of the microbubble means that the energy dissipation rate of the device must be controllable because the energy dissipation rate significantly affects the Sauter mean diameter ( d 32 ) of bubbles . Furthermore, narrow distribution of microbubbles required a uniform distribution of the energy dissipation rate of the device .…”

Section: Introductionmentioning

confidence: 99%

HiGee Microbubble Generator: (I) Mathematical Modeling and Experimental Verification of the Energy Dissipation Rate

Jiang

Wang

Liu

et al. 2022

Ind. Eng. Chem. Res.

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Because of significant influence on momentum, mass, and heat transfer processes, the energy dissipation rate (ε) serves as the basis for new mixers or reactors. However, there is no research of ε when a high-gravity (HiGee) device is used as a microbubble generator. In this work, a HiGee microbubble generator (HMG) was first proposed and a mathematical model of ε of HMG was established for the first time. Results showed that the ε increased from 0 to 320 W/kg when the rotational speed increased from 0 to 1400 r/min. The deviations of ε between the experimental results and calculated results using the model were within ±15%. Compared to other microbubble generators, the HMG can easily realize controllable ε by the rotational speed, which shows that HMG is a promising and efficient microbubble generator for the enhancement of gas−liquid mass transfer.

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A new model of bubble Sauter mean diameter in fine bubble-dominated columns

Cited by 28 publications

References 31 publications

A Simple Optical Aerosol Sensing Method of Sauter Mean Diameter for Particulate Matter Monitoring

A Simple Optical Aerosol Sensing Method of Sauter Mean Diameter for Particulate Matter Monitoring

HiGee Microbubble Generator: (II) Controllable Preparation of Microbubbles

HiGee Microbubble Generator: (I) Mathematical Modeling and Experimental Verification of the Energy Dissipation Rate

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