Mixing of a Solute in a Micropolar Blood Flow Model Through a Capillary Tube with an Absorptive Wall

Sohel Ahmed; Nanda Poddar; Jyotirmoy Rana; Kajal Kumar Mondal

doi:10.1007/978-3-031-69134-8_31

Mixing of a Solute in a Micropolar Blood Flow Model Through a Capillary Tube with an Absorptive Wall

Sohel Ahmed, Nanda Poddar, Jyotirmoy Rana, Kajal Kumar Mondal

Department of Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This study dives into the secrets of how solutes navigate in the dynamic flow of blood. Here, we investigate the process by which solute mixes with blood in capillaries in a time-independent flow with a first-order absorption parameter at the tube wall. The micropolar fluid model is considered to investigate the dispersion mechanism of the solute. To analyze the transport process, a generalized dispersion model is utilized. At large times, different transport coefficients are asymptotically evaluated. The dependences of the exchange, convection, and dispersion coefficients are assessed with respect to the wall absorption parameter. Variations of both axial fluid velocity and micro-rotational velocity of blood are discussed for different values of the micropolar parameter and coupling number. For different values of these parameters, it is observed that there is a significant change in the convection and dispersion coefficients concerning the absorption parameter. This work may have relevance in comprehending the mechanism of drug dispersion within the blood flow in capillaries.

Original language	English
Title of host publication	Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024) - Complex Systems, Fractals and Nonlinear Flows
Editors	Asit Saha, Santo Banerjee
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	436-451
Number of pages	16
ISBN (Print)	9783031691331
DOIs	https://doi.org/10.1007/978-3-031-69134-8_31
State	Published - 1 Jan 2024
Event	2nd International Conference on Nonlinear Dynamics and Applications, ICNDA 2024 - Majitar, India Duration: 21 Feb 2024 → 23 Feb 2024

Publication series

Name	Springer Proceedings in Physics
Volume	315 SPP
ISSN (Print)	0930-8989
ISSN (Electronic)	1867-4941

Conference

Conference	2nd International Conference on Nonlinear Dynamics and Applications, ICNDA 2024
Country/Territory	India
City	Majitar
Period	21/02/24 → 23/02/24

Keywords

Blood flow
boundary absorption
micropolar fluid
microvessels

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1007/978-3-031-69134-8_31

Cite this

Ahmed, S., Poddar, N., Rana, J., & Mondal, K. K. (2024). Mixing of a Solute in a Micropolar Blood Flow Model Through a Capillary Tube with an Absorptive Wall. In A. Saha, & S. Banerjee (Eds.), Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024) - Complex Systems, Fractals and Nonlinear Flows (pp. 436-451). (Springer Proceedings in Physics; Vol. 315 SPP). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-69134-8_31

Ahmed, Sohel ; Poddar, Nanda ; Rana, Jyotirmoy et al. / Mixing of a Solute in a Micropolar Blood Flow Model Through a Capillary Tube with an Absorptive Wall. Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024) - Complex Systems, Fractals and Nonlinear Flows. editor / Asit Saha ; Santo Banerjee. Springer Science and Business Media Deutschland GmbH, 2024. pp. 436-451 (Springer Proceedings in Physics).

@inproceedings{8892fbd51682470495eeb6fb6c96e40e,

title = "Mixing of a Solute in a Micropolar Blood Flow Model Through a Capillary Tube with an Absorptive Wall",

abstract = "This study dives into the secrets of how solutes navigate in the dynamic flow of blood. Here, we investigate the process by which solute mixes with blood in capillaries in a time-independent flow with a first-order absorption parameter at the tube wall. The micropolar fluid model is considered to investigate the dispersion mechanism of the solute. To analyze the transport process, a generalized dispersion model is utilized. At large times, different transport coefficients are asymptotically evaluated. The dependences of the exchange, convection, and dispersion coefficients are assessed with respect to the wall absorption parameter. Variations of both axial fluid velocity and micro-rotational velocity of blood are discussed for different values of the micropolar parameter and coupling number. For different values of these parameters, it is observed that there is a significant change in the convection and dispersion coefficients concerning the absorption parameter. This work may have relevance in comprehending the mechanism of drug dispersion within the blood flow in capillaries.",

keywords = "Blood flow, boundary absorption, micropolar fluid, microvessels",

author = "Sohel Ahmed and Nanda Poddar and Jyotirmoy Rana and Mondal, {Kajal Kumar}",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.; 2nd International Conference on Nonlinear Dynamics and Applications, ICNDA 2024 ; Conference date: 21-02-2024 Through 23-02-2024",

year = "2024",

month = jan,

day = "1",

doi = "10.1007/978-3-031-69134-8_31",

language = "English",

isbn = "9783031691331",

series = "Springer Proceedings in Physics",

publisher = "Springer Science and Business Media Deutschland GmbH",

pages = "436--451",

editor = "Asit Saha and Santo Banerjee",

booktitle = "Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024) - Complex Systems, Fractals and Nonlinear Flows",

address = "Germany",

}

Ahmed, S, Poddar, N, Rana, J & Mondal, KK 2024, Mixing of a Solute in a Micropolar Blood Flow Model Through a Capillary Tube with an Absorptive Wall. in A Saha & S Banerjee (eds), Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024) - Complex Systems, Fractals and Nonlinear Flows. Springer Proceedings in Physics, vol. 315 SPP, Springer Science and Business Media Deutschland GmbH, pp. 436-451, 2nd International Conference on Nonlinear Dynamics and Applications, ICNDA 2024, Majitar, India, 21/02/24. https://doi.org/10.1007/978-3-031-69134-8_31

Mixing of a Solute in a Micropolar Blood Flow Model Through a Capillary Tube with an Absorptive Wall. / Ahmed, Sohel; Poddar, Nanda; Rana, Jyotirmoy et al.
Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024) - Complex Systems, Fractals and Nonlinear Flows. ed. / Asit Saha; Santo Banerjee. Springer Science and Business Media Deutschland GmbH, 2024. p. 436-451 (Springer Proceedings in Physics; Vol. 315 SPP).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Mixing of a Solute in a Micropolar Blood Flow Model Through a Capillary Tube with an Absorptive Wall

AU - Ahmed, Sohel

AU - Poddar, Nanda

AU - Rana, Jyotirmoy

AU - Mondal, Kajal Kumar

N1 - Publisher Copyright: © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.

PY - 2024/1/1

Y1 - 2024/1/1

N2 - This study dives into the secrets of how solutes navigate in the dynamic flow of blood. Here, we investigate the process by which solute mixes with blood in capillaries in a time-independent flow with a first-order absorption parameter at the tube wall. The micropolar fluid model is considered to investigate the dispersion mechanism of the solute. To analyze the transport process, a generalized dispersion model is utilized. At large times, different transport coefficients are asymptotically evaluated. The dependences of the exchange, convection, and dispersion coefficients are assessed with respect to the wall absorption parameter. Variations of both axial fluid velocity and micro-rotational velocity of blood are discussed for different values of the micropolar parameter and coupling number. For different values of these parameters, it is observed that there is a significant change in the convection and dispersion coefficients concerning the absorption parameter. This work may have relevance in comprehending the mechanism of drug dispersion within the blood flow in capillaries.

AB - This study dives into the secrets of how solutes navigate in the dynamic flow of blood. Here, we investigate the process by which solute mixes with blood in capillaries in a time-independent flow with a first-order absorption parameter at the tube wall. The micropolar fluid model is considered to investigate the dispersion mechanism of the solute. To analyze the transport process, a generalized dispersion model is utilized. At large times, different transport coefficients are asymptotically evaluated. The dependences of the exchange, convection, and dispersion coefficients are assessed with respect to the wall absorption parameter. Variations of both axial fluid velocity and micro-rotational velocity of blood are discussed for different values of the micropolar parameter and coupling number. For different values of these parameters, it is observed that there is a significant change in the convection and dispersion coefficients concerning the absorption parameter. This work may have relevance in comprehending the mechanism of drug dispersion within the blood flow in capillaries.

KW - Blood flow

KW - boundary absorption

KW - micropolar fluid

KW - microvessels

UR - http://www.scopus.com/inward/record.url?scp=85207650524&partnerID=8YFLogxK

U2 - 10.1007/978-3-031-69134-8_31

DO - 10.1007/978-3-031-69134-8_31

M3 - Conference contribution

AN - SCOPUS:85207650524

SN - 9783031691331

T3 - Springer Proceedings in Physics

SP - 436

EP - 451

BT - Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024) - Complex Systems, Fractals and Nonlinear Flows

A2 - Saha, Asit

A2 - Banerjee, Santo

PB - Springer Science and Business Media Deutschland GmbH

T2 - 2nd International Conference on Nonlinear Dynamics and Applications, ICNDA 2024

Y2 - 21 February 2024 through 23 February 2024

ER -

Ahmed S, Poddar N, Rana J, Mondal KK. Mixing of a Solute in a Micropolar Blood Flow Model Through a Capillary Tube with an Absorptive Wall. In Saha A, Banerjee S, editors, Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024) - Complex Systems, Fractals and Nonlinear Flows. Springer Science and Business Media Deutschland GmbH. 2024. p. 436-451. (Springer Proceedings in Physics). doi: 10.1007/978-3-031-69134-8_31