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Pressure-driven flow of the viscoelastic Oldroyd-B fluid in narrow non-uniform geometries: analytical results and comparison with simulations
Evgeniy Boyko, Howard A. Stone
We analyze the pressure-driven flow of a viscoelastic fluid in arbitrarily shaped, narrow channels and present a theoretical framework for calculating the relationship between the…
Perspectives on viscoelastic flow instabilities and elastic turbulence
Sujit S. Datta, Arezoo M. Ardekani, Paulo E. Arratia +20
Viscoelastic fluids are a common subclass of rheologically complex materials that are encountered in diverse fields from biology to polymer processing. Often the flows of viscoelas…
A Geometric Criterion for the Optimal Spreading of Active Polymers in Porous Media
Christina Kurzthaler, Suvendu Mandal, Tapomoy Bhattacharjee +3
We perform Brownian dynamics simulations of active stiff polymers undergoing run-reverse dynamics, and so mimic bacterial swimming, in porous media. In accord with recent experimen…
CO2-driven diffusiophoresis and water cleaning: Similarity solutions for predicting the exclusion zone in a channel flow
Suin Shim, Mrudhula Baskaran, Ethan H. Thai +1
We investigate experimentally and theoretically diffusiophoretic separation of negatively charged particles in a rectangular channel flow, driven by CO2 dissolution from one side-w…
Low-Reynolds-number, bi-flagellated Quincke swimmers with multiple forms of motion
Endao Han, Lailai Zhu, Joshua W. Shaevitz +1
In the limit of zero Reynolds number (Re), swimmers propel themselves exploiting a series of non-reciprocal body motions. For an artificial swimmer, a proper selection of the power…
Perturbing ordinary differential equations to generate resonant and repeated root solutions
Bernardo Gouveia, Howard A. Stone
In the study of ordinary differential equations (ODEs) of the form , where is a linear differential operator, two related phenomena can arise: resonan…