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

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dc.creator Soh, C. Wafo
dc.creator Mureithi, Eunice
dc.date 2016-07-21T18:28:29Z
dc.date 2016-07-21T18:28:29Z
dc.date 2006-03
dc.date.accessioned 2018-03-27T08:58:01Z
dc.date.available 2018-03-27T08:58:01Z
dc.identifier Soh, 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.
dc.identifier http://hdl.handle.net/20.500.11810/3376
dc.identifier 10.1016/j.ijnonlinmec.2005.01.001
dc.identifier.uri http://hdl.handle.net/20.500.11810/3376
dc.description Full text can be accessed at http://www.sciencedirect.com/science/article/pii/S0020746205000910
dc.description We 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.
dc.language en
dc.subject Non-Newtonian fluids
dc.subject Second-grade fluid
dc.subject Temperature-dependent viscosity
dc.subject Super-temperature
dc.title Exact and numerical solutions of a fully developed generalized second-grade incompressible fluid with power-law temperature-dependent viscosity
dc.type Journal Article


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