The present analysis deals with the dispersion characteristics of blood described as Herschel- Bulkley fluid in capillary with permeable walls for fluid and impermeable for the nanoparticles. The contribution of molecular and convective diffusion is recalled from the Taylor and Aris coefficient of diffusion. The effective longitudinal diffusion depends on three parameters namely rheological parameter, pressure parameter, and the permeability parameter. We investigate the influence of the longitudinal transport of nanoparticles with permeable blood vessels on the effective dispersion. It shows that the effective diffusion of nanoparticles reduces with increase in radius of the plug region (i.e., the volume of red blood cells) and the permeability of the blood vessels.
Bali, Rekha; Gupta, Nivedita; and Mishra, Swati
Dispersion Characteristics of non-Newtonian fluid during transportation of nanoparticles in permeable capillary,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 11,
2, Article 9.
Available at: https://digitalcommons.pvamu.edu/aam/vol11/iss2/9