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