Bulletin of the American Physical Society
77th Annual Meeting of the Division of Fluid Dynamics
Sunday–Tuesday, November 24–26, 2024; Salt Lake City, Utah
Session L29: Porous Media Flows: General, Applications, Colloids |
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Chair: Jerome Neufeld, University of Cambridge Room: 255 A |
Monday, November 25, 2024 8:00AM - 8:13AM |
L29.00001: Adjoint-aided homogenization for flows through non-periodic membranes Kevin Wittkowski, Edouard Boujo, Francois Gallaire, Giuseppe Antonio Zampogna Porous membranes, thin structures that permit fluid to pass through their pores, are crucial in many industrial and biological processes. Multiscale homogenization has been successfully used to predict flows through membranes, providing a macroscopic model where the membrane is described as an infinitely thin interface between different fluid regions. The model links the flow velocity and stress on the membrane through a set of coefficients (such as permeability and slip) derived from a single pore-level solution of Stokes problems. The geometry of a single pore determines these coefficients for the entire membrane in the case of a periodic microstructure. However, real membranes usually lack periodicity. In this instance, recovering the local non-periodic membrane properties requires numerous microscopic calculations, adversely impacting the homogenized model's efficiency. |
Monday, November 25, 2024 8:13AM - 8:26AM |
L29.00002: How cake formation alters flow and transport in pleated membrane filters Sima Moshafi, Daniel Fong, Yi Jiang, Pejman Sanaei Pleated membrane filters play a crucial role in various filtration applications, offering a greater surface area-to-volume ratio compared to flat filters. This research presents a mathematical model to explore fouling mechanisms, with an emphasis on cake formation and feed flow dynamics in pleated filters. Our model is three-dimensional and divides the pleated filter into six sub-regions: the empty region, support layer plus, cake layer, membrane, support layer minus, and hollow region. We utilize Darcy's law and the Stokes equations to describe the feed flow, while the advection-diffusion equation is employed to simulate particle transport within these regions. To manage the model's complexity, we apply asymptotic analysis, leveraging the small aspect ratios of the filter cartridge and pleated membrane. The insights gained from our study are pivotal for improving filter efficiency. We focus on maximizing the filtrate volume while maintaining particle concentrations within acceptable limits and investigate the impact of cartridge geometry on filtration performance. Furthermore, we analyze the influence of particle characteristics on the filtration process, providing a deeper understanding of how to optimize filter design and operation. |
Monday, November 25, 2024 8:26AM - 8:39AM |
L29.00003: Identification, Characterisation and removal of microplastics from Prairie View A&M wastewater effluent using ceramic membranes. Ogboru Chujor, Raghava R Kommalapati Microplastics (MPs) and solids in wastewater present significant environmental and health challenges, necessitating advanced treatment methods. Our study investigates the efficacy of 1.4μm ceramic membranes in removing MPs, TSS, and Total solids from wastewater at the Prairie View A&M University (PVAMU) WWTP. The PVAMU plant effluent contains TS levels of 666 ± 0.2 mg/L, with a post-filtration value of 647.25 ± 24.5 mg/L. The TSS removal efficiency through 1.4μm ceramic membrane filtration was 94%, reducing TSS from 6.5 mg/L to 0.49 mg/L. The MP concentration decreased from 0.014 MPs/L to 0.006 MPs/L post-filtration. The correlation between TSS and MP concentration suggests MPs are primarily contained within suspended solids. The microplastic recovery rate post-filtration was 35.4%, with a linear relationship between TSS and MP concentrations. The effluent's total dissolved solids (TDS) levels were 659.5 ± 6.3 mg/L, and post-filtration TDS was 647.01 ± 24.6 mg/L. Fourier-transform infrared spectroscopy (FTIR) analysis confirmed polyester in the wastewater. Post-filtration analysis showed fibre-shaped MPs remained relatively unchanged, while the proportion of microbeads decreased and fragmented MPs increased, indicating selective removal efficiencies of the ceramic membrane. |
Monday, November 25, 2024 8:39AM - 8:52AM |
L29.00004: An integral equation method and an asymptotic analysis approach for erosion in porous media Szu-Pei Peter Fu, Pejman Sanaei In nature, erosion caused by water or air flow is one of the most prevalent |
Monday, November 25, 2024 8:52AM - 9:05AM |
L29.00005: A transform method for analyzing erosion of porous media in a channel with multiple cylinders Emeka P Mazi, Elena Luca, Pejman Sanaei We present a transform method to analyze the erosion of a porous medium with multiple cylindrical bodies. Our study focuses on a two-dimensional channel geometry containing an array of cylinders of varying sizes and arbitrary locations. We solve the associated boundary value problem for the biharmonic equation using our transform method, which provides quasi-analytical solutions and leads to fast and accurate schemes for evaluating the solutions. Specifically, our model considers cases based on the threshold law, where erosion occurs when the total shear stress exceeds a specified critical value dependent on the material of the cylindrical bodies. This erosion process not only reduces the size of the cylindrical bodies but also alters their shapes, causing them to shrink and eventually vanish in finite time. We compute the shear stress on the cylinders and use it to determine the updated shapes of the eroded bodies. |
Monday, November 25, 2024 9:05AM - 9:18AM |
L29.00006: Abstract Withdrawn
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Monday, November 25, 2024 9:18AM - 9:31AM |
L29.00007: Paper-based microfluidic device to identify multiple adulterants in beverage samples Anushka Anushka, Aditya Bandopadhyay, Prasanta Kumar Das Food adulteration is a significant concern in both developed and developing countries due to its potential to cause severe health issues in consumers. In the context of modern busy lifestyles, packed liquid beverages like juices, soups, coffee, energy drinks, and soft drinks are often consumed for instant energy. This research introduces a novel approach utilizing a paper-based microfluidic device, operating on the principle of capillarity, designed and developed to identify multiple adulterants in beverage samples simultaneously. The device is compact and portable, adhering to the ASSURED criteria set by the WHO. It utilizes the inherent properties of a porous substrate to retain and transport fluid. This three-dimensional product features multiple reaction zones, facilitating simultaneous detection and transportation of fluids. The inclusion of a specialized paper holder containing multiple detection zones ensures an optimized and uniform flow path within the device. |
Monday, November 25, 2024 9:31AM - 9:44AM |
L29.00008: A Two-Way Coupled Fluid Structure Interaction Framework For Immersed Soft Porous Media Chayut Teeraratkul, Debanjan Mukherjee Flow and transport around immersed soft porous media are prevalent in biological systems. Examples include the perfusion of fluid within a bone scaffold matrix driven by mechanical deformation of the bone's porous structures. In the vascular system, the blockage and fracturing of porous blood clots under pulsatile flow are driven by clot-flow two-way interactions. These problems are characterized by a soft porous structure experiencing macro-scale deformation under viscous, flow-induced forces. Numerical simulations of the inherently multi-scale Fluid-Structure Interaction (FSI) of such porous structures are challenging. Mesh-conforming FSI methods are ill-suited for resolving FSI in porous media because the macro-scale deformation of the porous structure likely results in significant distortion of the pore-scale mesh elements. Non-conforming methods, such as the Immersed Finite Element Method (IFEM), provide an attractive avenue for simulating an immersed continuous structure without expensive re-meshing. However, a continuum-based representation of the porous structures does not effectively capture the inherently multi-scale nature of the problem. In this contribution, we extend traditional IFEM by representing the porous structure as a series of connected discrete elements. This discrete element representation enables the direct modeling of the structure’s porosity. The dynamics of the discrete element structure are solved using the Discrete Element Method (DEM), with fluid coupling modeled via IFEM on individual discrete elements. The resulting two-way coupled framework enables direct modeling of FSI around an immersed porous structure. To validate our implementation, we present results from a canonical immersed two-body problem simulated using our framework. Finally, we demonstrate an example application of our method by simulating the micromechanics of a porous blood clot under pulsatile flow. |
Monday, November 25, 2024 9:44AM - 9:57AM |
L29.00009: Modeling Friction of Elastic Hydrogels Mehdi Karimi, Melodie Walla, Angela A Pitenis, Alexander Alexeev We employ dissipative particle dynamics (DPD) to simulate the frictional behavior of polymeric hydrogels. DPD offers a mesoscopic perspective, capturing the essential hydrodynamic and thermodynamic properties of the system. The gel is modeled as a network of randomly connected elastic filaments using the bead-spring approach. We focus on two cases: a gel sliding over a flat solid wall and two gels sliding against each other. Our work aims to elucidate the impact of gel properties, such as network density and interfacial interactions, on frictional forces and gel deformation under shear conditions. Our simulations provide insights into the micromechanics governing gel friction, which are important for optimizing the design of soft materials in biomedical and engineering applications. |
Monday, November 25, 2024 9:57AM - 10:10AM |
L29.00010: Flow of colloids around a solute-releasing hydrogel Haoyu Liu, Zehao Chen, Amir A Pahlavan Hydrogels, capable of partitioning and gradually releasing solutes, offer a unique platform for applications such as drug delivery. They can also act as beacons, attracting or repelling macromolecules or colloids via an effect known as diffusiophoresis. Here, we utilize microfluidic experiments, numerical simulations, and theoretical modeling to study how colloids respond to the solute field released from a hydrogel in the presence of a background flow. |
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