In this paper, the mechanism of cilia-induced flow is discussed through a mathematical model. In this study two dimensional flow of a viscous fluid in the presence of nanoparticles are observed in a curved channel with ciliated walls. Cilia have a distinctive pattern of motion by which they can set fluid into motion at low Reynolds number. The flow is modeled in both fixed and wave frame of reference. Exact solution is calculated for the velocity as well as for temperature profile and the flow properties for the Cu-blood nanofluid is determined as a function of the cilia and metachronal wave velocity. Results for temperature profile, velocity, pressure rise, pressure gradient and stream function are constructed and evaluated graphically.
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http://dx.doi.org/10.1109/TNB.2015.2401972 | DOI Listing |
Front Biosci (Landmark Ed)
March 2024
College of Mathematics and Systems Science, Shandong University of Science and Technology, 266590 Qingdao, Shandong, China.
Background: The purpose of this study is to investigate the electroosmotic flow of a hybrid nanofluid (Al2O3-Cu/Blood) with gyrotactic microorganisms through a bifurcated artery with mild stenosis in both parent and daughter arteries. The flow is subjected to a uniform magnetic field, viscous dissipation, and a heat source.
Methods: The governing equations undergo the non-dimensional transformation and coordinate conversion to regularize irregular boundaries, then solve the resulting system using the Crank-Nicolson method.
Microvasc Res
July 2022
Department of Aeronautics and Astronautics, Air Force Institute of Technology, Wright Patterson Air Force Base, Dayton, OH 45433, USA.
The present study considers the mathematical modelling of unsteady non-Newtonian hydro-magnetic nano-hemodynamics through a rigid cylindrical artery featuring two different stenoses (composite and irregular). The Ostwald-De Waele power-law fluid model is adopted to simulate the non-Newtonian characteristics of blood. Inspired by drug delivery applications for cardiovascular treatments, blood is considered doped with a homogenous suspension of biocompatible nanoparticles.
View Article and Find Full Text PDFComput Biol Med
December 2021
Department of Mathematics, School of Advanced Sciences, VIT University, Vellore, 632014, India.
Influenced by nano-drug delivery applications, the present article considers the collective effects of hybrid biocompatible metallic nanoparticles (Silver and Copper), a stenosis and an aneurysm on the unsteady blood flow characteristics in a catheterized tapered inclined artery. The non-Newtonian Carreau fluid model is deployed to represent the hemorheological characteristics in the arterial region. A modified Tiwari-Das volume fraction model is adopted for nanoscale effects.
View Article and Find Full Text PDFMicrovasc Res
January 2022
Department of Aeronautics and Astronautics, Air Force Institute of Technology, Wright Patterson Air Force Base, Dayton, OH 45433, USA.
The present study considers the mathematical modeling of unsteady non-Newtonian hydro-magnetic nano-hemodynamics through a rigid cylindrical artery featuring two different stenoses (composite and irregular). The Ostwald-De Waele power-law fluid model is adopted to simulate the non-Newtonian characteristics of blood. Inspired by drug delivery applications for cardiovascular treatments, blood is considered doped with a homogenous suspension of biocompatible nanoparticles.
View Article and Find Full Text PDFMolecules
June 2021
Department of Mathematics, University of Swabi, Swabi 94640, Pakistan.
In this paper, the steady electrically conducting hybrid nanofluid (CuO-Cu/blood) laminar-mixed convection incompressible flow at the stagnation-point with viscous and gyrotactic microorganisms is considered. Additionally, hybrid nanofluid flow over a horizontal porous stretching sheet along with an induced magnetic field and external magnetic field effectsthat can be used in biomedical fields, such as in drug delivery and the flow dynamics of the microcirculatory system. This investigation can also deliver a perfect view about the mass and heat transfer behavior of blood flow in a circulatory system and various hyperthermia treatments such as the treatment of cancer.
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