Abstract of ASME-JSME-KSME Joint Fluids Engineering Conference 2023
AJK FED2023
July 9-13, Osaka, JAPANDeterministic and Stochastic Modeling of Clogging Effects on Flow in Lattice-shaped Microchannel
Yuuki HATTA, Kyoto University, Kyoto, Japan
Reiko KURIYAMA, Kyoto University, Kyoto, Japan, and JST PRESTO
Kazuyoshi NAKABE, Kyoto University, Kyoto, Japan
Kazuya TATSUMI, Kyoto University, Kyoto, Japan*E-mail: tatsumi@me.kyoto-u.ac.jp
Abstract

presented by dispersed clogging appearing in the channel.

Flow systems consisted of multiple channels, bifurcations,

The second region was due to the clustering of the clogged

and joints (junctions), which are observed in nature andareas. In the third stage, clusters combined and developed

applications as vascular networks and bundles, heatto large clusters, and finally blocking the channel. The

exchangers,

composetheoretical model for porous media applying the tortuosity

complicated structures. Failure of the channels andand percolation theory(1) gave a good agreement with theelements affects the local flow and can develop to a system

random model case. In the case of flow-dependent model,failure. Clogging is one of the important factors that canpressure loss distribution also varied by time and showed

induce channel failure. Clogging is a random event,

three different regions. However, the value increased

however, the effect of the clogging on the channel flow andsignificantly compared to the random model case. The

vice versa can be represented as a deterministic event.

clogging increased the local pressure loss which changed

In this study, two-dimensional numerical computation

the flow and distributed the fluid spatially and temporally

was conducted for particle flows in lattice-shapedover the channel (Fig. 1 (b)). This produced a uniform

microchannel applying conjugate analysis of flow

clogging distribution and increased the overall pressure

computation based on finite volume method and stochastic

loss. We showed that this clogging pattern formed in themodel of the clogging with the aim to evaluate and model

first region increased the clustering rate at the second andthe clogging, flow, and pressure loss characteristics of thethird stages of smaller porosity. From the present results,channel. Clogging probability of the model was defined as

we confirmed that deterministic phenomenon should be

Eq. (1). C0 is constant and 𝜙̇ (𝑡) is a function of theconsidered with stochastic events to correctly evaluate thenumber of particles flowing through the considering point.

clogging effect on the channel flow and pressure loss.

andmicrofluidic

devices,𝑝(𝑡) = 𝐶0 𝜙̇(𝑡)Δ𝑡(1)Two stochastic models were applied: one with the clogging
event occurring randomly (𝜙̇(𝑡) = 0), and the other with𝜙̇ (𝑡) depending on the flow rate at the considering point.
Measurement of particle flows and clogging in latticeshaped microchannel was also conducted under the same
condition of the computation for validation.
The results showed that the pressure loss characteristics
changes in three steps over time following the power law
with different exponents (Fig. 1(a)). The first region wasFig. 1: (a) Time distribution of pressure loss and (b) instantaneous
flow velocity distributions of the two models.

Acknowledgment
This work was supported by JSPS KAKENHI 21H01262.
References
1) Matyka, M., et al. Physical Review E, 78 (2008) 026306.