Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (5): 557-564.doi: https://doi.org/10.1007/s10483-010-0503-6

• Articles • 上一篇    下一篇

Transient free convection flow of a viscoelastic fluid over vertical surface

H.M.DUWAIRI1 R.A.DAMSEH2 A.J.CHAMKHA3 M.S.ABDEL_JABER4   

  1. 1. Mechanical Engineering Department, Faculty of Engineering and Technology, The University of Jordan, Amman 11942, Jordan;
    2. Mechanical Department, Al-Husun University College, Albalqa Applied University, Irbid 21510, Jordan;
    3. Manufacturing Engineering Department, The Public Authority for Applied Education and Training, Shuweikh 70654, Kuwait;
    4. Civil Engineering Department, Faculty of Engineering and Technology, The University of Jordan, Amman 11942, Jordan
  • 收稿日期:2009-07-08 修回日期:2010-01-21 出版日期:2010-05-20 发布日期:2010-05-01

Transient free convection flow of a viscoelastic fluid over vertical surface

H.M.DUWAIRI1 R.A.DAMSEH2 A.J.CHAMKHA3 M.S.ABDEL_JABER4   

  1. 1. Mechanical Engineering Department, Faculty of Engineering and Technology, The University of Jordan, Amman 11942, Jordan;
    2. Mechanical Department, Al-Husun University College, Albalqa Applied University, Irbid 21510, Jordan;
    3. Manufacturing Engineering Department, The Public Authority for Applied Education and Training, Shuweikh 70654, Kuwait;
    4. Civil Engineering Department, Faculty of Engineering and Technology, The University of Jordan, Amman 11942, Jordan
  • Received:2009-07-08 Revised:2010-01-21 Online:2010-05-20 Published:2010-05-01

摘要: In this paper, the viscoelsatic boundary layer flow and the heat transfer near a vertical isothermal impermeable surface and in a quiescent fluid are examined. The governing equations are formulated and solved numerically using MackCormak’s technique. The results show excellent agreement with previously published results by a comparision. Representative results for the velocity and temperature profiles, boundary layer thicknesses, Nusselt numbers, and local skin friction coefficients are shown graphically for different values of viscoelsatic parameters. In general, it is found that the velocities increase inside the hydrodynamic boundary layers and the temperatures decrease inside the thermal boundary layers for the viscoelsatic fluid as compared with the Newtonian fluid due to favorable tensile stresses. Consequently, the coefficients of friction and heat transfer enhance for higher viscoelsatic parameters.

关键词: viscoelastic flows, transient, free convection heat transfer

Abstract: In this paper, the viscoelsatic boundary layer flow and the heat transfer near a vertical isothermal impermeable surface and in a quiescent fluid are examined. The governing equations are formulated and solved numerically using MackCormak’s technique. The results show excellent agreement with previously published results by a comparision. Representative results for the velocity and temperature profiles, boundary layer thicknesses, Nusselt numbers, and local skin friction coefficients are shown graphically for different values of viscoelsatic parameters. In general, it is found that the velocities increase inside the hydrodynamic boundary layers and the temperatures decrease inside the thermal boundary layers for the viscoelsatic fluid as compared with the Newtonian fluid due to favorable tensile stresses. Consequently, the coefficients of friction and heat transfer enhance for higher viscoelsatic parameters.

Key words: viscoelastic flows, transient, free convection heat transfer

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