Journal of Applied Nonlinear Dynamics
Unsteady Analysis on Intravenous Drug Delivery and its Uptake in Tissue
Journal of Applied Nonlinear Dynamics 10(3) (2021) 531546  DOI:10.5890/JAND.2021.09.012
Reima D. Alsemiry$^{1,2}$, Sarifuddin$^{3}$, Prashanta K. Mandal$^{4}$ , Hamed M. Sayed$^{1,5}$, Norsarahaida Amin$^{2}$
$^{1}$ Department of Mathematics, Faculty of Science, Taibah University, P.O.Box 89, Yanbu 41911, Saudi
Arabia
$^{2}$ Department of Mathematical Sciences, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru,
Johor, Malaysia
$^{3}$ Department of Mathematics, Berhampore College 742101, West Bengal, India
$^{4}$ Department of Mathematics, VisvaBharati University, Santiniketan 731235, West Bengal, India
$^{5}$ Department of Mathematics, Faculty of Education, Ain Shams University, Roxy 11757, Cairo, Egypt
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Abstract
An investigation of drug transport in the lumen as well as in the tissue, in the presence of absorbing interface is studied. The streaming blood is considered as a powerlaw fluid, whereas, the transport of luminal and tissue drug as a convectiondiffusion process. Predicted results show the length of flow separation increases with increasing Re. Simulation predicts the diminishing tissue content with increasing wall absorption parameter. The luminal concentration reaches its quasi steadystate more rapidly than that in the tissue.
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