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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Unsteady Analysis on Intravenous Drug Delivery and its Uptake in Tissue

Journal of Applied Nonlinear Dynamics 10(3) (2021) 531--546 | 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, Visva-Bharati 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 power-law fluid, whereas, the transport of luminal and tissue drug as a convection-diffusion 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 steady-state more rapidly than that in the tissue.

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