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

doi:10.1007/s10483-020-2562-8

Applied Mathematics and Mechanics (English Edition) ›› 2020, Vol. 41 ›› Issue (2): 361-382.doi: https://doi.org/10.1007/s10483-020-2562-8

• 论文 • 上一篇

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

P. NAG^1,2, M. M. MOLLA^1,2, M. A. HOSSAIN³

1. Department of Mathematics and Physics, North South University, Dhaka 1229, Bangladesh;
2. Center for Applied Scientific Computing(CASC), North South University, Dhaka 1229, Bangladesh;
3. Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh

收稿日期:2019-04-17 修回日期:2019-08-25 发布日期:2020-01-03
通讯作者: M. M. MOLLA E-mail:mamun.molla@northsouth.edu
基金资助:
Project supported by the North South University, Bangladesh (Nos. NSU-RP-18-067 and CTRG-19/SEPS/15)

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

P. NAG^1,2, M. M. MOLLA^1,2, M. A. HOSSAIN³

1. Department of Mathematics and Physics, North South University, Dhaka 1229, Bangladesh;
2. Center for Applied Scientific Computing(CASC), North South University, Dhaka 1229, Bangladesh;
3. Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh

Received:2019-04-17 Revised:2019-08-25 Published:2020-01-03
Contact: M. M. MOLLA E-mail:mamun.molla@northsouth.edu
Supported by:
Project supported by the North South University, Bangladesh (Nos. NSU-RP-18-067 and CTRG-19/SEPS/15)

摘要/Abstract

摘要： The non-Newtonian effect in the boundary layer flow over a horizontal elliptical 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 transformations. 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 ≤ 1). The effects of different elliptical configurations on the average Nusselt number are also presented and discussed for both conditions of the surface temperature.

关键词: non-Newtonian fluid, free convection, boundary layer, elliptical cylinder

Abstract: The non-Newtonian effect in the boundary layer flow over a horizontal elliptical 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 transformations. 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 ≤ 1). The effects of different elliptical configurations on the average Nusselt number are also presented and discussed for both conditions of the surface temperature.

Key words: non-Newtonian fluid, free convection, boundary layer, elliptical cylinder

中图分类号:

P. NAG, M. M. MOLLA, M. A. HOSSAIN. Non-Newtonian effect on natural convection flow over cylinder of elliptic cross section[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(2): 361-382.

参考文献

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

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

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