Study of microvascular blood flow modulated by electroosmosis

Tripathi, D; Yadav, A; Beg, OA; Kumar, R

Abstract

An analytical study of microvascular non-Newtonian blood flow is conducted incorporating the electro-osmosis phenomenon. Blood is considered as a Bingham rheological aqueous ionic solution. An externally applied static axial electrical field is imposed on the system. The Poisson-Boltzmann equation for electrical potential distribution is implemented to accommodate the electrical double layer (EDL) in the microvascular regime. With long wavelength, lubrication and Debye-Hückel approximations, the boundary value problem is rendered non-dimensional. Analytical solutions are derived for the axial velocity, volumetric flow rate, pressure gradient, volumetric flow rate, averaged volumetric flow rate along one time-period, pressure rise along one wavelength and stream function. A plug width is featured in the solutions. Via symbolic software (MathematicaTM), graphical plots are generated for the influence of Bingham plug flow width parameter, electrical Debye length (thickness) and Helmholtz-Smoluchowski velocity (maximum electro-osmotic velocity) on the key hydrodynamic variables. An increase in plug flow width is observed to accelerate the axial flow, enhance volumetric flow rate and has a varied influence on the pressure rise depending on whether the flow is in the free pumping or pumping region. Increasing electrical Debye length consistently enhances axial flow, volumetric flow rate and also pressure rise (at any value of volumetric flow rate).

Citation

Tripathi, D., Yadav, A., Beg, O., & Kumar, R. (2018). Study of microvascular blood flow modulated by electroosmosis. Microvascular Research, 117, 28-36. https://doi.org/10.1016/j.mvr.2018.01.001

• Journal Article Type: Article
• Acceptance Date: Jan 2, 2018
• Online Publication Date: Jan 3, 2018
• Publication Date: Jan 3, 2018
• Deposit Date: Jan 5, 2018
• Publicly Available Date: Jan 3, 2019
• Journal: Microvascular Research
• Print ISSN: 0026-2862
• Publisher: Elsevier
• Volume: 117
• Pages: 28-36
• DOI: https://doi.org/10.1016/j.mvr.2018.01.001
• Publisher URL: http://dx.doi.org/10.1016/j.mvr.2018.01.001
• Related Public URLs: https://www.journals.elsevier.com/microvascular-research