When a solute such as angiographic contrast is introduced into a solvent such as blood analog fluid flowing in a straight circular tube, it spreads under the combined action of molecule diffusion and the variation of velocity over the cross-section [8]. If two molecules are being carried in the flow, for example, one in the center and one near the wall, the rate of separation caused by the difference in bulk velocity will greatly exceed that caused by molecule motion. Given enough time, any single molecule would wander randomly throughout the cross section of the pipe because of molecular diffusion, and would sample at random all the advective velocities [4]. Therefore, Taylor [8] adopted the Lagrangian approach to the problem, casting the equations in a coordinate system that moves with the average velocity of the flow and replacing the molecular diffusion coefficient with a dispersion coefficient, and the local concentration with the cross sectional mean concentration. Recasting Taylor’s equation in an inertial coordinate system one obtained the so called advection-dispersion equation.
Skip Nav Destination
ASME 2007 Summer Bioengineering Conference
June 20–24, 2007
Keystone, Colorado, USA
Conference Sponsors:
- Bioengineering Division
ISBN:
0-7918-4798-5
PROCEEDINGS PAPER
Computational Investigation on the Dispersive Transport of Angiographic Contrast Injected Antegradely Into Flow in a Tube
Baruch B. Lieber
Baruch B. Lieber
University of Miami, Coral Gables, FL
Search for other works by this author on:
Qing Hao
University of Miami, Coral Gables, FL
Baruch B. Lieber
University of Miami, Coral Gables, FL
Paper No:
SBC2007-176423, pp. 567-568; 2 pages
Published Online:
March 12, 2014
Citation
Hao, Q, & Lieber, BB. "Computational Investigation on the Dispersive Transport of Angiographic Contrast Injected Antegradely Into Flow in a Tube." Proceedings of the ASME 2007 Summer Bioengineering Conference. ASME 2007 Summer Bioengineering Conference. Keystone, Colorado, USA. June 20–24, 2007. pp. 567-568. ASME. https://doi.org/10.1115/SBC2007-176423
Download citation file:
3
Views
Related Proceedings Papers
Related Articles
Impact of Blood Rheology on Transition to Turbulence and Wall Vibration Downstream of a Stenosis
J Biomech Eng (April,2023)
Transition to Turbulence Downstream of a Stenosis for Whole Blood and a Newtonian Analog Under Steady Flow Conditions
J Biomech Eng (March,2022)
Production of a Finely Dispersed AlPb-Coating
J. Eng. Mater. Technol (January,1993)
Related Chapters
Two Advanced Methods
Applications of Mathematical Heat Transfer and Fluid Flow Models in Engineering and Medicine
Introduction
Design of Mechanical Bearings in Cardiac Assist Devices
Datum Targets
Geometric Dimensioning and Tolerancing: Applications, Analysis, Gauging and Measurement [per ASME Y14.5-2018]