Quantitative model for predicting the imbibition dynamics of viscoelastic fluids in nonuniform microfluidic assays

Rawat, Yashwant; Kalia, Sachit; Mondal, Pranab Kumar

doi:10.1103/physreve.104.055106

Cited by 6 publications

(4 citation statements)

References 33 publications

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“…These are in agreement with theoretical predictions of the capillary filling dynamics of viscoelastic fluids. 48,49 The paper strips wetted by polymer of a fixed concentration (C 10 2 ) were also probed at varied spatial locations along the paper strip using scanning electron microscopy. Insignificant variation was found in fiber diameter at multiple spatial locations along the strip length, indicating spatial variation in polymer concentration can be neglected (Figure S4).…”

Section: Capillary Rise Dynamics Of Polymermentioning

confidence: 99%

Polymer Imbibition Through Paper Strips

Kotak,

Kamath,

Ghosh

2024

Langmuir

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Liquid wicking and imbibition through porous strips are fundamental to paper microfluidics. In this study, we outline these processes via capillary rise dynamics (CRD) experiments by employing deionized water as a reference fluid and comparing its dynamics with those of aqueous polymer solutions. Replacing the working fluid with polymer solutions led to the occurrence of an intermediate viscous-dominated regime, followed by the gravity-dominated regime at a long-time scale. This transition from viscous-dominated to gravity-dominated was found to be a function of the porous substrate pore diameter. The delay in CRD from the viscous-dominated to gravity-dominated regime is explained by the presence of the prewetting front (PWF). To address it, PWF dynamics has also been quantified, along with the characterization of its morphological differences.

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Section: Capillary Rise Dynamics Of Polymermentioning

confidence: 99%

Polymer Imbibition Through Paper Strips

Kotak,

Kamath,

Ghosh

2024

Langmuir

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“…The classical L–W model is used to predict capillary rise in porous media considering the capillary tube theory. However, the model evolves over time by taking into account various force effects acting on liquid imbibition. , In this paper, we developed a few modified analytical models that take into account multiple effects that are common in a practical situation of liquid imbibition through porous media. Equations are solved in MATLAB and Mathematica with an initial condition that is similar to the corresponding experimental results at t = 30 s.…”

Section: Analytical Modelsmentioning

confidence: 99%

Imbibition of Liquids through a Paper Substrate in a Controlled Environment

Mahapatra

2022

Langmuir

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Liquid spreading on open surfaces is a widely observed phenomenon. The physics of liquid spreading has become more complex when the surface is porous like paper or fabrics due to the evaporation of the liquid and swelling of the fibers. In this study, we have performed liquid imbibition experiments on paper strips in a controlled environment with and without using hydrophobic boundaries. The experimental results are compared to the existing analytical models that account for each effect separately. The existing models were found to be inaccurate in predicting the experimental results. We developed new analytical models by modifying existing models to predict the capillary rise of the liquid through the paper substrate accurately. Different effects, such as the barrier (hydrophobic boundary), evaporation, and swelling, are considered simultaneously while developing the modified models to mimic the exact practical situation for the first time. We discovered that the modified models predict the experimental results more accurately than the existing models. For cases with and without barriers, the final models considering several effects simultaneously predict the data with a maximum error range of 7 and 10%, respectively. Finally, we conducted capillary rise experiments with volatile (water) and non-volatile (silicon oil) liquids at various temperatures and under various relative humidity conditions to validate the analytical results.

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“…It is worth mentioning here that γ is the tensor for strain rate and is given as γ = 1 2 e ij : e ij 1 / 2 , where e ij is the strain rate tensor 28,29 . Poisson Boltzmann equation.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…With the advent of the Lab-On-a-Chip (LOC) devices/systems, typically find practical relevance in biomedical applications, biochemical processes, medical diagnostics and digital microfluidics, transportation of small fluid volume alongside embarking on several fluidic functionalities in these devices has become a great topic of research to the microfluidics community [1][2][3] . The underlying flow dynamics at microfluidic scale, however, is greatly influenced by the surface characteristics of the bounding substrate, and at times, is intricately governed by the solid-liquid interfacial interactions 4,5 .…”

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confidence: 99%

Leveraging spreadsheet analysis tool for electrically actuated start-up flow of non-Newtonian fluid in small-scale systems

Roy

Chakraborty

Mondal

2022

Sci Rep

Self Cite

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In this article, we demonstrate the solution methodology of start-up electrokinetic flow of non-Newtonian fluids in a microfluidic channel having square cross-section using Spreadsheet analysis tool. In order to incorporate the rheology of the non-Newtonian fluids, we take into consideration the Ostwald-de Waele power law model. By making a comprehensive discussion on the implementation details of the discretized form of the transport equations in Spreadsheet analysis tool, and establishing the analytical solution for a special case of the start-up flow, we compare the results both during initial transience as well as in case of steady-state scenario. Also, to substantiate the efficacy of the proposed spreadsheet analysis in addressing the detailed flow physics of rheological fluids, we verify the results for several cases with the corresponding numerical results. It is found that the solution obtained from the Spreadsheet analysis is in good agreement with the numerical results—a finding supporting spreadsheet analysis's suitability for capturing the fine details of microscale flows. We strongly believe that our analysis study will open up a new research scope in simulating microscale transport process of non-Newtonian fluids in the framework of cost-effective and non-time consuming manner.

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Quantitative model for predicting the imbibition dynamics of viscoelastic fluids in nonuniform microfluidic assays

Cited by 6 publications

References 33 publications

Polymer Imbibition Through Paper Strips

Polymer Imbibition Through Paper Strips

Imbibition of Liquids through a Paper Substrate in a Controlled Environment

Leveraging spreadsheet analysis tool for electrically actuated start-up flow of non-Newtonian fluid in small-scale systems

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