# NSU Research Contributions

### Title : Non-Newtonian effect on natural convection flow over cylinder of elliptic cross section

**Authors : **P. NAG1, M. M. MOLLA, M. A. HOSSAIN

**Abstract : **The non-Newtonian effect in the boundary layer flow over a horizontal ellip-
tical cylinder is investigated numerically. A modified power-law viscosity model is used
to correlate the non-Newtonian characteristics of the fluid flow. For natural convection
flows, the surface of the cylinder is maintained by the uniform surface temperature (UST)
or the uniform heat flux (UHF) condition. The governing equations corresponding to the
flow are first transformed into a dimensionless non-similar form using suitable transfor-
mations. The resulting equations are solved numerically by an efficient finite difference
scheme. The numerical results are presented for the skin friction coefficient and the local
Nusselt number with the eccentric angle for different values of the power-law index n. The
local skin friction coefficient and the local Nusselt number are found to be higher and
lower, respectively, for the shear thickening fluids (n > 1) than the other fluids (n 6 1).
The effects of different elliptical configurations on the average Nusselt number are also
presented and discussed for both conditions of the surface temperature.

Journal : Applied Mathematics and Mechanics (English Edition) |
Volume : 41, |
Year : 2020 |
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Pages : 361–382 |
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