NDLI: Oscillatory Flow Between Two Hemispheres for Shearing Protein Solution

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Kong, Dejuan Penkova, Anita Sadhal, Satwindar Singh
Copyright Year	2013
Abstract	Protein aggregation rate is known to be influenced by shear flow in protein solutions. This has important physiological implications as many of the body functions involve shear flow. Fluid mechanical shear can affect interactions between protein molecules, initiate protein aggregation, and further affect their biological activity. The shear rate is therefore an important parameter either to determine or to influence the properties of the protein solution when it forms a nucleus or aggregates. For experiments, the number density of nuclei can be controlled by using an optimal shear rate and protein concentration. However, this requires theoretical information on the shear rate for the experimental conditions. With this motivation, we have designed an experiment in which we can effectively apply shear with flow characteristics that can be calculated. Specifically, in a small hemispherically-shaped bowl, 4 mm in diameter we place the protein solution and insert a rounded rod that can be vibrated rotationally or laterally, maintaining spherical symmetry in the liquid region. This system is particularly useful when only small quantities of expensive protein solutions can be used for experimentation. We have carried out the mathematical analysis of the time-dependent flow field between two concentric hemispheres by the perturbation method using ε = U0/ωa ≪ 1 as a small parameter where U0 is a characteristic velocity, ω is the oscillation frequency and a is a length scale based on the vessel dimensions (bowl radius). We have obtained an analytical solution for the velocity field, and the shear rate in the liquid. In addition, with the nonlinear interaction of the oscillatory flow, there is a nonzero time-independent mean flow (known as streaming). With the integrated effect of shear in the liquid region, this result will be useful for conducting aggregation experiment in which the effective shear rate can be correlated to the aggregation rate.
File Format	PDF
ISBN	9780791856222
DOI	10.1115/IMECE2013-65663
Volume Number	Volume 3B: Biomedical and Biotechnology Engineering
Conference Proceedings	ASME 2013 International Mechanical Engineering Congress and Exposition
Language	English
Publisher Date	2013-11-15
Publisher Place	San Diego, California, USA
Access Restriction	Subscribed
Subject Keyword	Fluid mechanics Shearing (deformation) Shear flow Vessels Oscillations Dimensions Flow (dynamics) Density Shear rate Proteins Mathematical analysis Physiology Shear (mechanics) Die cutting
Content Type	Text
Resource Type	Article

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