期刊文献+

The efect of the couple stress parameter and Prandtl number on the transient natural convection flow over a vertical cylinder

The efect of the couple stress parameter and Prandtl number on the transient natural convection flow over a vertical cylinder
下载PDF
导出
摘要 An analysis is performed to study transient free convective boundary layer flow of a couple stress fluid over a vertical cylinder, in the absence of body couples. The solution of the time-dependent non-linear and coupled governing equations is carried out with the aid of an unconditionally stable Crank-Nicolson type of numerical scheme. Numerical results for the steady-state velocity, temperature as well as the time histories of the skin-friction coefficient and Nus- selt number are presented graphically and discussed. It is seen that for all flow variables as the couple stress control parameter, Co, is amplified, the time required for reaching the temporal maximum increases but the steady-state decreases. An analysis is performed to study transient free convective boundary layer flow of a couple stress fluid over a vertical cylinder, in the absence of body couples. The solution of the time-dependent non-linear and coupled governing equations is carried out with the aid of an unconditionally stable Crank-Nicolson type of numerical scheme. Numerical results for the steady-state velocity, temperature as well as the time histories of the skin-friction coefficient and Nus- selt number are presented graphically and discussed. It is seen that for all flow variables as the couple stress control parameter, Co, is amplified, the time required for reaching the temporal maximum increases but the steady-state decreases.
出处 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2013年第5期649-656,共8页 力学学报(英文版)
关键词 Couple stress fluid Natural convection Vertical cylinder Finite difference method Couple stress fluid Natural convection Vertical cylinder Finite difference method
  • 相关文献

参考文献2

二级参考文献17

  • 1Lin, C.C.: The Theory of Hydrodynamic Stability. Cambridge University Press, Cambridge (1955) .
  • 2Chandrasekhar, S.: Hydrodynamic and Hydromagnetic Stability. Oxford University Press, Oxford (1961) .
  • 3Lin, S.P., Wang, C.Y.: Encyclopedia Fluid Mechanics. Ed. Cheremisioff, Gulf. Houston (1986).
  • 4Yih, C.S.: Stability of parallel laminar flow with a free surface. In: Proceedings of the Second US National Congress of Applied Mechanics. USA, 623-628 (1954).
  • 5Benney, D.J.: Long waves on liquid film. J. Math. Phys. 45, 150-155 (1966).
  • 6Lin, S.P.: Finite amplitude side-band stability of a viscous film. J. Fluid Mech. 63, 417-429 (1974).
  • 7Nakaya, C.: Equilibrium state of periodic waves on the fluid film down a vertical wall. J. Phys. Soc. JPN. 36, 921-926 (1974).
  • 8Krishna, M.V.G., Lin, S.P.: Nonlinear stability of a viscous film with respect to three-dimensional side-band disturbance. Phys. Fluids 20(1039) .
  • 9Pumir, A., Manneville, P., Pomeau, Y.: On solitary waves running down on inclined plane. J. Fluid Mech. 135, 27-50 (1983).
  • 10Hwang, C.C., Weng, C.I.: Finite-amplitude stability analysis of liquid films down a vertical wall with and without interfacial phase change. Int. J. Multiphase Flow. 13, 803-814 (1987).

共引文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部