Multiple slip effects on nanofluid dissipative flow in a converging/diverging channel : a numerical study

Beg, OA ORCID:, Beg, TA, Khan, WA and Uddin, MJ 2022, 'Multiple slip effects on nanofluid dissipative flow in a converging/diverging channel : a numerical study' , Heat Transfer, 51 (1) , pp. 1040-1061.

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Access Information: This is the peer reviewed version of the following article: Bég, OA, Bég, T, Khan, WA, Uddin, MJ. Multiple slip effects on nanofluid dissipative flow in a converging/diverging channel: A numerical study. Heat Transfer. 2022; 51: 1040- 1061, which has been published in final form at This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited.


A mathematical model is developed for viscous slip flow and heat transfer in water/Ethylene glycol-based nanofluids containing metallic oxide nanoparticles, through a converging/diverging channel geometry. Our approach is based on the single-phase Tiwari– Das nanofluid model considering nanoparticles and base fluid masses as a substitute volume concentration of nanoparticles. The governing (dimensional partial differential) equations are transformed to a set of dimensionless ordinary differential equations with the help of similarity transformation, before being solved numerically using Maple17. Extensive validation of the velocity gradient and temperature solutions is achieved with the second order implicit finite difference Keller Box method (KBM). Further validation is included for the special case of noslip nanofluid flow in the absence of viscous heating. The effects of the emerging parameters namely velocity slip, thermal jump, channel apex angle, Eckert number, Prandtl number, Reynolds number and nano-particle volume fraction on velocity, temperature, skin friction and heat transfer rate are investigated in detail. Two different nanofluids are studied, namely water-Titanium oxide- and Ethylene glycol-Titanium oxide. Both convergent and divergent channels are addressed, and significantly different thermofluid characteristics are computed due to slip and viscous heating effects. The novelty of the current work is that it extends previous studies to include multiple slip effects and viscous heating (Eckert number effects) which are shown to exert a significant influence on heat and momentum transfer characteristics. The study is relevant to certain pharmaco-dynamics devices (drug delivery), next generation 3-D nanotechnological printers and also nano-cooling systems in energy engineering where laminar flows in diverging/converging channels arise.

Item Type: Article
Schools: Schools > School of Computing, Science and Engineering
Journal or Publication Title: Heat Transfer
Publisher: Wiley
ISSN: 2688-4534
Related URLs:
Depositing User: OA Beg
Date Deposited: 13 Sep 2021 10:32
Last Modified: 25 Sep 2022 02:30

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