Bejan flow visualization of free convection in a Jeffrey fluid from a semi-infinite vertical cylinder : influence of Deborah and Prandtl numbers

Kumar, M, Reddy, GJ and Beg, OA ORCID: https://orcid.org/0000-0001-5925-6711 2019, 'Bejan flow visualization of free convection in a Jeffrey fluid from a semi-infinite vertical cylinder : influence of Deborah and Prandtl numbers' , Journal of Thermal Analysis and Calorimetry: An International Forum for Thermal Studies, 138 , pp. 531-543.

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Abstract

This article studies the pattern of heat lines in free convection non-Newtonian flow from a semi-infinite vertical cylinder via Bejan’s heat function concept. The viscoelastic Jeffrey fluid model is employed. The time-dependent, coupled, non-linear conservation equations for momentum and energy (heat) are solved computationally with the unconditionally stable finite difference Crank-Nicolson method. Extensive graphical results are presented for the influence of Deborah number (viscoelastic parameter) and Prandtl number (with ranges 0 - 0.8 and 0.68 - 7.2, respectively) on thermal and flow characteristics including time histories of overall skin friction and heat transfer rate. Lower values of Deborah number indicate that the material acts in a more fluid-like manner whereas the higher values of Deborah number correspond to the material showing characteristics more associated with a solid. The solutions indicate that the time taken for the flow-field variables to achieve the steady-state is increased with higher values of Deborah number. Boundary flow visualization is presented using heat lines, isotherms and streamlines. It is observed that as Deborah number increases the intensity of heat lines increases and they tend to deviate from the hot cylindrical wall. Furthermore, the flow field variables for the Newtonian fluid case exhibit a significantly different pattern from that of Jeffrey fluid.

Item Type:	Article
Schools:	Schools > School of Computing, Science and Engineering
Journal or Publication Title:	Journal of Thermal Analysis and Calorimetry: An International Forum for Thermal Studies
Publisher:	Springer
ISSN:	1388-6150
Related URLs:	Publisher
Funders:	DST-INSPIRE
Depositing User:	OA Beg
Date Deposited:	01 Apr 2019 13:38
Last Modified:	16 Feb 2022 01:35
URI:	https://usir.salford.ac.uk/id/eprint/50881

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