Exact and numerical solutions of a fully developed generalized second-grade incompressible fluid with power-law temperature-dependent viscosity

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dc.contributor.authorSoh, C. Wafo
dc.contributor.authorMureithi, Eunice
dc.date.accessioned2016-07-21T18:28:29Z
dc.date.available2016-07-21T18:28:29Z
dc.date.issued2006-03
dc.descriptionFull text can be accessed at http://www.sciencedirect.com/science/article/pii/S0020746205000910en_US
dc.description.abstractWe compute exact and numerical solutions of a fully developed flow of a generalized second-grade fluid, with power-law temperature-dependent viscosity (μ=θ-M), down an inclined plane. Analytical solutions are found for the case when M=m+1, m≠1, m being a constant that models shear thinning (m<0) or shear thickening (m>0). The exact solutions are given in terms of Bessel functions. The numerical solutions indicate that both the velocity and the temperature increase with decreasing Froude number and that there is a critical value of Fr below which temperature “overshoots” its free surface value of unity. This phenomena is not reported in the work of Massoudi and Phuoc [Fully developed flow of a modified second grade fluid with temperature dependent viscosity, Acta Mech. 150 (2001) 23–37.] for viscosity that depends exponentially on temperature.en_US
dc.identifier.citationSoh, C.W. and Mureithi, E.W., 2006. Exact and numerical solutions of a fully developed generalized second-grade incompressible fluid with power-law temperature-dependent viscosity. International Journal of Non-Linear Mechanics, 41(2), pp.271-280.en_US
dc.identifier.doi10.1016/j.ijnonlinmec.2005.01.001
dc.identifier.urihttp://hdl.handle.net/20.500.11810/3376
dc.language.isoenen_US
dc.subjectNon-Newtonian fluidsen_US
dc.subjectSecond-grade fluiden_US
dc.subjectTemperature-dependent viscosityen_US
dc.subjectSuper-temperatureen_US
dc.titleExact and numerical solutions of a fully developed generalized second-grade incompressible fluid with power-law temperature-dependent viscosityen_US
dc.typeJournal Articleen_US
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