ItemArticle

Analysis of the Viscous Dissipation and Nonlinear Velocity Slip Effect on the Thin Film Nanofluid Flow

Title
Analysis of the Viscous Dissipation and Nonlinear Velocity Slip Effect on the Thin Film Nanofluid Flow
Creator
Kamath, Ananya V.; Puneeth, V.; Katharin, Sini
Description
Abstract: In the contemporary study, the dynamics of the nanofluid thin film is investigated by considering the viscous dissipation and chemical reaction effects. Additionally, the surface is assumed to have a nonlinear slip rather than the conventional no-slip conditions. This helps in better flow and heat transfer characteristics. This nonlinear velocity slip at the boundary is modelled using the idea proposed by Thompson and Troian. Also, the presence of viscous dissipation in the energy equation, depicts the loss of energy due to the internal friction. Hence, the viscous dissipation turns out to be a critical factor in determining the thermal properties of the nanofluid thin film. The chemical reactions take place within the system because of the presence of nanoparticles, that in turn will have a significant impact on the mass transfer characteristics of the thin film nanofluid. The incorporation of the similarity transformation helps in converting the partial differential equations (PDEs) that govern the fluid flow into a system of nonlinear ordinary differential equations (ODEs). This resulting system is then solved using the BVP package in python whose accuracy is assessed through residual analysis. By this error analysis, convergence of residues was confirmed. Thus validating the method and the results obtained. The outcomes of the study are interpreted through the graphs which highlighted the intensification of heat transfer for the increase in the Eckert number while the magnetic field confirmed its flow controlling feature. Also, the streamlines and contours were plotted to understand and visulaise the flow, all these contours showed the significance of the presence of nonlinear velocity slip at the boundary. Pleiades Publishing, Ltd. 2025.
Source
Doklady Physics;Volume;70;Issue;2026-12-09 00:00:00;pp.78-91
Date
01-01-2025
Publisher
Pleiades Publishing
Subject
Brownian motion; thermophoresis; thin film flow; Thompson and Troian slip; viscous dissipation
Coverage
Kamath A.V., Department of Mathematics, Christ University, Karnataka, Bengaluru, 560029, India; Puneeth V., Department of Mathematics, Christ University, Karnataka, Bengaluru, 560029, India; Katharin S., Department of Mathematics, Christ University, Karnataka, Bengaluru, 560029, India
Rights
Restricted Access; Hardcopy may be available in the library
Relation
ISSN: 10283358; CODEN: DOPHF
Format
online
Language
English
Type
Article

Citation

Kamath, Ananya V.; Puneeth, V.; Katharin, Sini, “Analysis of the Viscous Dissipation and Nonlinear Velocity Slip Effect on the Thin Film Nanofluid Flow,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 18, 2026, https://archives.christuniversity.in/items/show/22995.

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