期刊文献+

Flow of Burgers' fluid over an inclined stretching sheet with heat and mass transfer 被引量:2

Flow of Burgers' fluid over an inclined stretching sheet with heat and mass transfer
下载PDF
导出
摘要 Effects of heat and mass transfer in the flow of Burgers fluid over an inclined sheet are discussed. Problems formulation and relevant analysis are given in the presence of thermal radiation and non-uniform heat source/sink. Thermal conductivity is taken temperature dependent. The nonlinear partial differential equations are simplified using boundary layer approximations. The resultant nonlinear ordinary differential equations are solved for the series solutions. The convergence of series solutions is obtained by plotting theη-curves for the velocity, temperature and concentration fields. Results of this work describe the role of different physical parameters involved in the problem. The Deborah numbers corresponding to relaxation time(β1 and β2) and angle of inclination(α) decrease the fluid velocity and concentration field. Concentration field decays as Deborah numbers corresponding to retardation time(β3) and mixed convection parameter(G) increase. Large values of heat generation/absorption parameters A/B, and the temperature distribution across the boundary layer increase. Numerical values of local Nusselt number,-θ′(0), and local Sherwood number,-f′(0), are computed and analyzed. It is found that θ′(0) increases with an increase in β3. Effects of heat and mass transfer in the flow of Burgers fluid over an inclined sheet are discussed. Problems formulation and relevant analysis are given in the presence of thermal radiation and non-uniform heat source/sink. Thermal conductivity is taken temperature dependent. The nonlinear partial differential equations are simplified using boundary layer approximations. The resultant nonlinear ordinary differential equations are solved for the series solutions. The convergence of series solutions is obtained by plotting theη-curves for the velocity, temperature and concentration fields. Results of this work describe the role of different physical parameters involved in the problem. The Deborah numbers corresponding to relaxation time(β1 and β2) and angle of inclination(α) decrease the fluid velocity and concentration field. Concentration field decays as Deborah numbers corresponding to retardation time(β3) and mixed convection parameter(G) increase. Large values of heat generation/absorption parameters A/B, and the temperature distribution across the boundary layer increase. Numerical values of local Nusselt number,-θ′(0), and local Sherwood number,-f′(0), are computed and analyzed. It is found that θ′(0) increases with an increase in β3.
出处 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第8期3180-3188,共9页 中南大学学报(英文版)
关键词 Burgers' fluid thermal radiation inclined stretching sheet non-uniform heat source variable thermal conductivity 热质迁移 非线性偏微分方程 温度依赖性 拉张 速度曲线 微分方程解 浓度场 热传导率
  • 相关文献

参考文献24

  • 1FETECAU C, ZIEREP J, BOHNING R, FETECAU C. On the energetic balance for the flow of an Oldroyd-B fluid due to a flat plate subject to a time-dependent shear stress [J]. Comp Math Appl, 2010, 60: 7482.
  • 2FETECAU C, JAMIL M, FETECAU C, SIDDIQUE I. A note on the second problem of Stokes for Maxwell fluids [J]. Int J Nonlinear Meeh, 2009, 44: 1085-1090.
  • 3TAN Wen-chang, PAN Wen-xiao, XU Ming-yu. A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates [J]. Int J Nonlinear Mech, 2003, 38: 645-650.
  • 4XUE Chang-feng, NIE Jun-xiang, TAN Wen-chang. An exact solution of start-up flow for the fractional generalized Burgers' fluid in a porous half-space [J]. Nonlinear Analysis, 2008, 69: 2086-2094.
  • 5HAYAT T, SAFDAR A, AWAIS M, MESLOUBB S. Soret and Dufour effects for three-dimensional flow in a viscoelastic fluid over a stretching surface [J]. Int J Heat Mass Transfer, 2012, 55: 2129-2136.
  • 6HAYAT T, AWAIS M, OBAIDAT S. Three-dimensional flow of a Jeffery fluid over a linearly stretching sheet, Comm [J]. Nonlinear Sci Num Sire, 2012, 17: 699-707.
  • 7HAYAT T, ALI N, ASGHAR S. Peristaltic motion of a Burgers' fluid in a planar channel [J]. App Math Comp, 2007, 186: 309-329.
  • 8JAMIL M, FETECAU C. Some exact solutions for rotating flows of a generalized Burgers' fluid in cylindrical domains [J]. J Non- Newtonian Fluid Mech, 2010, 165: 1700-1712.
  • 9KHAN M, HAYAT T. Some exact solutions for fractional generalized Burgers' fluid in a porous space [J]. Nonlinear Analysis: Real World Appl, 2008, 9: 1952-1965.
  • 10RASHIDI M M, DOMAIRRY G, DINARVAND S. Approximate solutions for the Burgers' fluid and regularized long wave equations by means of the homotopy analysis method [J]. Comm Nonlinear Sci Num Sim, 2009, 14: 708-717.

同被引文献5

引证文献2

二级引证文献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