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Numerical modeling of Glauert type exponentially decaying wall jet flows of nanofluids using Tiwari and Das’ nanofluid model

Amin Jafarimoghaddam (Independent Researcher, Tehran, Iran)
Ioan Pop (Department of Mathematics, Babeş-Bolyai University, Cluj-Napoca, Romania)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 19 December 2018

Issue publication date: 22 February 2019

160

Abstract

Purpose

The purpose of this study is to present a simple analytic solution to wall jet flow of nanofluids. The concept of exponentially decaying wall jet flows proposed by Glauert (1956) is considered.

Design/methodology/approach

A proper similarity variables are used to transform the system of partial differential equations into a system of ordinary (similarity) differential equations. This system is then solved analytically.

Findings

Dual solutions are found and a stability analysis has been done. These solutions show that the first solution is physically realizable, whereas the second solution is not practicable.

Originality/value

The present results are original and new for the study of fluid flow and heat transfer over a static permeable wall, as they successfully extend the problem considered by Glauert (1956) to the case of nanofluids.

Keywords

Acknowledgements

The work of Ioan Pop has been supported from the grant PN-III-P4-ID-PCE-2016-0036, UEFISCDI, Romania. The authors thank the respected Reviewers for their constructive comments, which clearly enhanced the quality of the manuscript.

Citation

Jafarimoghaddam, A. and Pop, I. (2019), "Numerical modeling of Glauert type exponentially decaying wall jet flows of nanofluids using Tiwari and Das’ nanofluid model", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 29 No. 3, pp. 1010-1038. https://doi.org/10.1108/HFF-08-2018-0437

Publisher

:

Emerald Publishing Limited

Copyright © 2018, Emerald Publishing Limited

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