Journal ArticleDOI
The effect of wall absorption on dispersion in oscillatory flow in an annulus: application to a catheterized artery
A. Sarkar,Girija Jayaraman +1 more
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TLDR
The generalized dispersion model is applied to a specific problem in clinical medicine – dispersion of solutes in blood flow in a catheterized artery and predicts that the oscillatory flow augments the mass transfer and that an increase in the frequency parameter helps in the longitudinal disp immersion of the dye.Abstract:
The effect of the irreversible boundary reaction on the dispersion of a tracer in an annular region in presence of oscillatory flow is studied. The solution of the mathematical model, based on the generalized dispersion model, brings out the dispersive transport following the injection of a tracer in terms of the three effective transport coefficients, the exchange, the convection and the dispersion coefficients. The model is applied to a specific problem in clinical medicine – dispersion of solutes in blood flow in a catheterized artery. The model predicts that the oscillatory flow augments the mass transfer and that an increase in the frequency parameter helps in the longitudinal dispersion of the dye. But the presence of the catheter and increase in the catheter size inhibit the dispersion process. Also, there is more absorption of solute at the wall as the catheter size increases.read more
Citations
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Journal ArticleDOI
Solute dispersion in pulsatile Casson fluid flow in a tube with wall absorption
TL;DR: In this paper, the axial dispersion of solute is presented in a pulsatile flow of Casson fluid through a tube in the presence of interfacial mass transport due to irreversible first-order reaction catalysed by the tube wall.
Journal ArticleDOI
Convective diffusion in steady flow through a tube with a retentive and absorptive wall
Chiu-On Ng,N. Rudraiah +1 more
TL;DR: In this paper, a generalized dispersion model is employed to deduce asymptotic steady-state values of the first three transport coefficients in terms of the strengths and kinetics of the two reactions, which can be of any magnitude.
Journal ArticleDOI
Shear dispersion in a capillary tube with a porous wall
TL;DR: The results reveal that it is essential to include the exchange of solute between the capillary tube and porous medium in development of the shear dispersion coefficient for the last two regimes, and indicate that the finite porous medium gives faster breakthrough of a solute as compared with the infinite one.
Journal ArticleDOI
Exact analysis of unsteady convective diffusion in Casson fluid flow in an annulus – Application to catheterized artery
TL;DR: In this article, a generalized dispersion model is employed to study the dispersion process of a solute in the flow of a Casson fluid in an annulus, and the effective diffusion coefficient is obtained as a function of time and its dependence on the yield stress of the fluid and on the annular gap between the two cylinders.
Journal ArticleDOI
Dispersion phenomena of reactive solute in a pulsatile flow of three-layer liquids
TL;DR: In this article, the authors investigated the dispersion process in an oscillatory flow of a layered liquid, where the center region is the Casson liquid surrounded by a Newtonian liquid layer flowing through a narrow pipe under the wall reaction.
References
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Boundary layer theory
TL;DR: The flow laws of the actual flows at high Reynolds numbers differ considerably from those of the laminar flows treated in the preceding part, denoted as turbulence as discussed by the authors, and the actual flow is very different from that of the Poiseuille flow.
Journal ArticleDOI
A 2dvEv- bit distributed algorithm for the directed Euler trail problem
Wen-Huei Chen,Chuan Yi Tang +1 more
TL;DR: The algorithm can be used as a building block for solving other distributed graph problems, and can be slightly modified to run on a strongly-connected diagraph for generating the existent Euler trail or to report that no Euler trails exist.
Journal ArticleDOI
Dispersion of soluble matter in solvent flowing slowly through a tube
TL;DR: In this paper, it was shown analytically that the distribution of concentration produced in this way is centred on a point which moves with the mean speed of flow and is symmetrical about it in spite of the asymmetry of the flow.