Mean field control of droplet dynamics with high-order finite-element computations DOI Open Access
Guosheng Fu, Hangjie Ji, Will Pazner

et al.

Journal of Fluid Mechanics, Journal Year: 2024, Volume and Issue: 999

Published: Nov. 20, 2024

Liquid droplet dynamics are widely used in biological and engineering applications, which contain complex interfacial instabilities pattern formation such as merging, splitting transport. This paper studies a class of mean field control formulations for these dynamics, can be to manipulate droplets applications. We first formulate the gradient flows free energies modified optimal transport metrics with nonlinear mobilities. then design an problem flows. As example, lubrication equation thin volatile liquid film laden active suspension is developed, achieved through its activity field. Lastly, we apply primal–dual hybrid algorithm high-order finite-element methods simulate proposed problems. Numerical examples, including formation, bead-up/spreading, transport, merging/splitting on two-dimensional spatial domain, demonstrate effectiveness mechanism.

Language: Английский

Thermally fully developed pipe flows of active liquids DOI
Siddhartha Das

Physics of Fluids, Journal Year: 2025, Volume and Issue: 37(3)

Published: March 1, 2025

Active matter laden active liquids define a unique class of liquids, whose extremely rich dynamics can be captured only by appropriately considering the contribution induced stresses. In this paper, we develop analytical solutions for studying effect background fluid flow in temperature distribution and Nusselt number thermally fully developed pipe with constant surface heat flux. Specifically, consider an liquid consisting particles demonstrating vortex defects: consequently, presence axial gradient activity, there occurs pressure-driven that has profile different from Hagen-Poiseuille non-active flow. We find case is 3.83, which smaller than classical value 4.36 observed (with flux). justify decrease noting where activity (for flows) identical to pressure flows), overall strength flows: such reduced causes convective transfer triggering flows. This also away wall greater mean temperature)

Language: Английский

Citations

1

Taylor Dispersion and Concentration Profiles of Solutes in the Capillary Transport of Active Liquids DOI
Siddhartha Das

Langmuir, Journal Year: 2024, Volume and Issue: 40(35), P. 18773 - 18780

Published: Aug. 22, 2024

In this paper, we develop a theory to capture Taylor dispersion and concentration profiles of solute band transporting in circular capillary the presence background active fluid flow. Specifically, consider liquids containing particles with vortex defects: under such circumstances, our recent calculations have revealed generation (diffusioosmosis-like) induced pressure-gradient-driven flow an axial gradient activity (or particles). This therefore, captures transport activity-gradient-triggered pressure-driven flows. We obtain analytical results for overall velocity, coefficient effective diffusivity), band. compare findings Hagen Poiseuille (having same magnitude pressure as flows) identify smaller (and hence lesser spread bands) average velocity (hence slower band–an effect that becomes more magnified at larger Peclet numbers) case liquid

Language: Английский

Citations

4

Nanocapillary Core-Annular Flows of Immiscible Active and Non-Active Liquids Trigger External-Drive-Free Nanofluidic Liquid Transport DOI
Siddhartha Das

Langmuir, Journal Year: 2025, Volume and Issue: unknown

Published: March 16, 2025

In this paper, we develop analytical solutions for investigating the nanocapillary core-annular transport of an active liquid and immiscible non-active liquid. The contains particles that show vortex defects, which trigger a circular polarization field, eventually enabling generation induced pressure-driven flow inside fluids in presence axial gradient activity (or concentration particles). Here consider two separate scenarios. For first (second) case, occupies core (annular) region while annular (core) region. Our main finding is both these cases, drives can achieve significant volume rate (of flow) appropriate strength particles); therefore, such nanofluidic driven fluid occurs with no external driving (such as pressure or applied electric field). Also, greater thickness layer increases across entire but causes nonmonotonic variation Furthermore, case where core, larger active:non-active viscosity ratio significantly enhances overall transport; however, other has effect. Finally, provide our results there finite slip at walls. We find depending on scenario (active occupying region), different signs lengths have influences magnitude direction velocity field system

Language: Английский

Citations

0

Low Reynolds number flows of active liquids in permeable, long, and thin capillaries DOI
Siddhartha Das

Physics of Fluids, Journal Year: 2024, Volume and Issue: 36(9)

Published: Sept. 1, 2024

In this Letter, we develop an analytical theory to study the transport of active liquids, which contain and self-propelling particles (with vortex defects), inside a long thin permeable capillary tube. This is triggered by pressure gradient induced imposed in activity (or particle concentration). Our results show clear distinction radial axial velocity profiles between pressure-driven either extensile or contractile activity) non-active liquids such capillaries. We also identify stream function characterizing liquid field tubes.

Language: Английский

Citations

2

Streaming electric field, electroviscous effect, and electrokinetic liquid flows in the induced pressure‐driven transport of active liquids in narrow capillaries DOI
Siddhartha Das, Ghansham Rajendrasingh Chandel

Electrophoresis, Journal Year: 2024, Volume and Issue: unknown

Published: Sept. 17, 2024

Abstract In this paper, we develop a theory for studying the electrokinetic effects in charged nanocapillary filled with active liquid. The particles present within liquid are self‐driven, demonstrate vortex defects, and enforce circumferentially arranged polarization field. Under such circumstances, there is development of an induced pressure‐gradient‐driven transport dictated (similar to diffusioosmotic transport) by presence axial gradient activity (or concentration particles). This pressure‐driven has profile different from standard Hagen–Poiseuille flow nanocapillary. Also, drives effects, which characterized generation streaming electric field, associated electroosmotic (EOS) opposing flow, electroviscous effect. We quantify these as functions dimensionless parameters that vary inversely strength activity‐induced salt concentrations. Overall, anticipate paper will draw immense attention toward new type phenomena nanoconfinements.

Language: Английский

Citations

2

Fluid Mechanics, and Its Quantum Developments and Applications DOI

Yi-Fang Chang

European Journal of Theoretical and Applied Sciences, Journal Year: 2024, Volume and Issue: 2(5), P. 650 - 667

Published: Sept. 1, 2024

Based on the known theories of fluid mechanics, we research new quantum mechanics by operator method. Further, discuss its various developments combined extensive theory and other theories. Finally, search possible applications in some aspects: biology many systems are fluids; astronomy binary stars, density wave evolutionary direction spiral galaxies, sunspot researched; geosciences earthquake, formation basin hydrocarbon layer proposed; social sciences hydrodynamics corresponding waves tides, synergetics, corruption, etc., discussed.

Language: Английский

Citations

1

Mean field control of droplet dynamics with high-order finite-element computations DOI Open Access
Guosheng Fu, Hangjie Ji, Will Pazner

et al.

Journal of Fluid Mechanics, Journal Year: 2024, Volume and Issue: 999

Published: Nov. 20, 2024

Liquid droplet dynamics are widely used in biological and engineering applications, which contain complex interfacial instabilities pattern formation such as merging, splitting transport. This paper studies a class of mean field control formulations for these dynamics, can be to manipulate droplets applications. We first formulate the gradient flows free energies modified optimal transport metrics with nonlinear mobilities. then design an problem flows. As example, lubrication equation thin volatile liquid film laden active suspension is developed, achieved through its activity field. Lastly, we apply primal–dual hybrid algorithm high-order finite-element methods simulate proposed problems. Numerical examples, including formation, bead-up/spreading, transport, merging/splitting on two-dimensional spatial domain, demonstrate effectiveness mechanism.

Language: Английский

Citations

1