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Impinging Howarth stagnation-point flows

Turner, M. R. and Weidman, P. D. (2019) Impinging Howarth stagnation-point flows European Journal of Mechanics - B/Fluids, 74. pp. 242-251.

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Abstract

The flow of one Howarth stagnation-point flow impinging directly on another Howarth stagnation-point flow is studied, and an exact similarity solution to the Navier-Stokes equations is found. The upper layer fluid has density ρ1 and kinematic viscosity ʋ1 while the lower layer fluid has density ρ2 and kinematic viscosity ʋ2 and the two fluids are assumed to be immiscible. This problem has potentially five independent parameters to investigate, but application of the continuity of the normal stresses at the interface imposes restrictions which reduces the problem to one with three independent parameters, namely a ratio σ of strain rates and the fluid parameter ratios ρ = ρ1/ρ2 and ʋ = ʋ1/ʋ2. Numerical results are presented for selected values of ρ and ʋ for a range of σ and show that stable results exist for all values of σ > 0, and for a range of negative σ values. Sample stable velocity profiles are also presented.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Turner, M. R.M.Turner@surrey.ac.uk
Weidman, P. D.
Date : March 2019
DOI : 10.1016/j.euromechflu.2018.11.004
Copyright Disclaimer : © 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Depositing User : Clive Harris
Date Deposited : 08 Nov 2018 11:13
Last Modified : 15 Nov 2019 02:08
URI: http://epubs.surrey.ac.uk/id/eprint/849841

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