Taylor dispersion in non-Darcy porous media with bulk chemical reaction: a model for drug transport in impeded blood vessels

2021 ◽  
Vol 127 (1) ◽  
Author(s):  
Ashis Kumar Roy ◽  
O. Anwar Bég ◽  
Apu Kumar Saha ◽  
J. V. Ramana Murthy
Keyword(s):  
Porous Media ◽  
Blood Vessels ◽  
Chemical Reaction ◽  
Drug Transport ◽  
Taylor Dispersion ◽  
Bulk Chemical

Non-Linear Radiation, Chemical Reaction, and Soret/Dufour Effects on Magnetohydrodynamic Natural Convection About a Permeable Horizontal Circular Cylinder in Non-Darcy Porous Media With Heat Source/Sink

2020 ◽  
Vol 12 (5) ◽  
Author(s):  
Kuo-Ann Yih ◽  
Chuo-Jeng Huang
Keyword(s):  
Porous Media ◽  
Nusselt Number ◽  
Circular Cylinder ◽  
Chemical Reaction ◽  
Radiation Parameter ◽  
Temperature Ratio ◽  
Radiation Chemical ◽  
Uniform Wall ◽  
Source Sink ◽  
Horizontal Circular Cylinder

Abstract In this paper, the nonlinear radiation, chemical reaction, and Soret/Dufour effects on magnetohydrodynamic (MHD) natural convection about a permeable horizontal circular cylinder in non-Darcy porous media with heat source/sink are numerically analyzed. The surface of the horizontal circular cylinder is subjected to uniform wall temperature and uniform wall concentration (UWT/UWC). The governing equations are transformed into dimensionless, non-similar forms using suitable non-dimensional variables and then solved using Keller box method (KBM). Comparisons with previously published work are performed, and the results are found to be in an excellent agreement. Numerical data of the dimensionless temperature profile, the dimensionless concentration profile, the Nusselt number, and the Sherwood number are presented in graphic and tabular forms for the main parameters. The physical aspects of the problem are discussed in detail. The Nusselt number increases with increasing the Soret parameter, radiation parameter, and surface temperature ratio. Increasing the Dufour parameter, radiation parameter, surface temperature ratio, coefficient of space-dependent internal heat generation/absorption, and dimensionless chemical reaction parameter enhances the Sherwood number.

Applying Polynomial Chaos Expansions to Evaluate the Effect of Tissue Non-Homogeneous Properties in Biotransport

2013 ◽  
Author(s):  
Maher Salloum ◽  
Ronghui Ma ◽  
Liang Zhu
Keyword(s):  
Porous Media ◽  
Drug Transport ◽  
Polynomial Chaos ◽  
Flow In Porous Media ◽  
Positive Pressure ◽  
Target Tissue ◽  
Convection Enhanced Delivery ◽  
Tissue Properties ◽  
Polynomial Chaos Expansions ◽  
Microct Imaging

Modeling drug transport in tissues has recently gained a lot of attention in the bioengineering community due its vast areas of applications [1]. Such injections often employ a positive pressure infusion directly in the target tissue. It is often referred to as convection enhanced delivery. There are several studies that addressed this problem in the literature. These studies rely on mathematical models of flow in porous media (Darcy, Brinkman...) and are successful in accounting for the existence of capillaries, tissue metabolism, etc. However, these models rely on the assumption that the tissue properties (e.g. permeability) are uniform inside tumors. MicroCT imaging following nanofluid infusion often reveals highly irregular distributions due to the spatial heterogeneity of the tissue [2].

Heat and Mass Transfer in an Unsteady Magnetohydrodynamics Al2O3–Water Nanofluid Squeezed Between Two Parallel Radiating Plates Embedded in Porous Media With Chemical Reaction

2019 ◽  
Vol 142 (1) ◽  
Author(s):  
R. A. Mohamed ◽  
S. Z. Rida ◽  
A. A. M. Arafa ◽  
M. S. Mubarak
Keyword(s):  
Mass Transfer ◽  
Porous Media ◽  
Differential Equations ◽  
Heat Source ◽  
Heat And Mass Transfer ◽  
Chemical Reaction ◽  
Skin Friction Coefficient ◽  
Parallel Plates ◽  
Squeeze Number ◽  
Source Sink

Abstract In this paper, the influence of chemical reaction and heat source/sink on an unsteady magnetohydrodynamics (MHD) nanofluid flow that squeezed between two radiating parallel plates embedded in porous media is investigated analytically. We consider water as base fluid and aluminum oxide (Al2O3) as its nanoparticle. We reduced the basic partial differential equations to ordinary differential equations which are solved by the homotopy analysis method (HAM). The effects of the squeeze number, permeability parameter of porous media, Hartmann number, thermal radiation parameter, Prandtl number, heat source/sink parameter, Eckert number, Schmidt number, and scaled parameter of chemical reaction on the flow, heat, and mass transfer are considered and assigned to graphs. The physical quantities such as Sherwood number, Nusselt number, and skin friction coefficient are computed for Al2O3–water, TiO2–water, Ag–water, and Cu–water nanofluids and assigned through graphs.

A simplified description of multicomponent diffusion in porous media. II. Conditions for negligible forced flow effects

1979 ◽  
Vol 44 (2) ◽  
pp. 465-474 ◽  
Author(s):  
Marta Černá ◽  
Jindřich Zahradník ◽  
Petr Schneider
Keyword(s):  
Porous Media ◽  
Pressure Gradient ◽  
Chemical Reaction ◽  
Multicomponent Diffusion ◽  
Forced Flow ◽  
Gas Mixture ◽  
Porous Catalyst ◽  
Diffusion In Porous Media ◽  
Flow Effects

Conditions are examined permitting the pressure gradient in a porous catalyst sustaining multicomponent diffusion of a gas mixture accompanied by chemical reaction to be neglected. Deviations are computed of the sum of mole fractions from unity for selected typical cases as a measure of error commited by neglecting the forced flow.

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