Fractional order model for thermochemical flow of blood with Dufour and Soret effects under magnetic and vibration environment.

Biviscosity model Blood flow Fractional derivative Thermal radiation Vibration

Journal

Colloids and surfaces. B, Biointerfaces
ISSN: 1873-4367
Titre abrégé: Colloids Surf B Biointerfaces
Pays: Netherlands
ID NLM: 9315133

Informations de publication

Date de publication:
Jan 2021
Historique:
received: 15 08 2020
revised: 20 09 2020
accepted: 30 09 2020
pubmed: 13 10 2020
medline: 22 6 2021
entrez: 12 10 2020
Statut: ppublish

Résumé

We examine the effect of the Caputo-Fabrizio derivative of fractional-order model on the flow of blood in a porous tube having thermochemical properties under the magnetic and vibration mode. Blood is considered as the biviscosity non-Newtonian fluid having thermal radiation and chemical reaction properties to observe its impact on energy flux and mass flux gradients. We provided analytical solution via the Laplace, finite Hankel transform, and the corresponding inverse techniques. The study shows that blood velocity and temperature both decrease in ascending values of the fractional-order parameter as memory effect. The permeability of blood flow medium resists to drive the fluid fast. The chemical reaction causes an increase in wall shear stress. Dufour effect influences to rise in the Nusselt number. Thus the study may help to explore further information about the fractional-order model, adsorption of nutrients and their strong correlation with the surface chemistry and applied them in pathology.

Identifiants

pubmed: 33045544
pii: S0927-7765(20)30751-7
doi: 10.1016/j.colsurfb.2020.111395
pii:
doi:

Types de publication

Journal Article

Langues

eng

Sous-ensembles de citation

IM

Pagination

111395

Informations de copyright

Copyright © 2020 Elsevier B.V. All rights reserved.

Auteurs

Subrata Maiti (S)

Department of Mathematics, Jadavpur University, Kolkata 700032, India.

Sachin Shaw (S)

Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, Botswana.

G C Shit (GC)

Department of Mathematics, Jadavpur University, Kolkata 700032, India. Electronic address: gcshit@jadavpuruniversity.in.

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