Newtonian heating effects in three-dimensional flow of viscoelastic fluid

doi:10.1088/1674-1056/23/5/054703

中国物理B ›› 2014, Vol. 23 ›› Issue (5): 54703-054703.doi: 10.1088/1674-1056/23/5/054703

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Newtonian heating effects in three-dimensional flow of viscoelastic fluid

A. Qayyum^a, T. Hayat^{a b}, M. S. Alhuthali^b, H. M. Malaikah^b

a Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan;
b Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

收稿日期:2013-07-17 修回日期:2013-10-22 出版日期:2014-05-15 发布日期:2014-05-15
基金资助:
Project supported by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah (Grant No. 10-130/1434HiCi).

Newtonian heating effects in three-dimensional flow of viscoelastic fluid

A. Qayyum^a, T. Hayat^{a b}, M. S. Alhuthali^b, H. M. Malaikah^b

a Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan;
b Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Received:2013-07-17 Revised:2013-10-22 Online:2014-05-15 Published:2014-05-15
Contact: A. Qayyum E-mail:abq_bw76@yahoo.com
About author:47.50.Gj; 44.20.+b
Supported by:
Project supported by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah (Grant No. 10-130/1434HiCi).

摘要/Abstract

摘要： A mathematical model is constructed to investigate the three-dimensional flow of a non-Newtonian fluid. An incompressible viscoelastic fluid is used in mathematical formulation. The conjugate convective process (in which heat the transfer rate from the bounding surface with a finite capacity is proportional to the local surface temperature) in three-dimensional flow of a differential type of non-Newtonian fluid is analyzed for the first time. Series solutions for the nonlinear differential system are computed. Plots are presented for the description of emerging parameters entering into the problem. It is observed that the conjugate heating phenomenon causes an appreciable increase in the temperature at the stretching wall.

关键词: viscoelastic fluid, three-dimensional flow, Newtonian heating

Abstract: A mathematical model is constructed to investigate the three-dimensional flow of a non-Newtonian fluid. An incompressible viscoelastic fluid is used in mathematical formulation. The conjugate convective process (in which heat the transfer rate from the bounding surface with a finite capacity is proportional to the local surface temperature) in three-dimensional flow of a differential type of non-Newtonian fluid is analyzed for the first time. Series solutions for the nonlinear differential system are computed. Plots are presented for the description of emerging parameters entering into the problem. It is observed that the conjugate heating phenomenon causes an appreciable increase in the temperature at the stretching wall.

Key words: viscoelastic fluid, three-dimensional flow, Newtonian heating

中图分类号: (Instabilities)

47.50.Gj

44.20.+b (Boundary layer heat flow)

A. Qayyum, T. Hayat, M. S. Alhuthali, H. M. Malaikah. Newtonian heating effects in three-dimensional flow of viscoelastic fluid[J]. 中国物理B, 2014, 23(5): 54703-054703.

A. Qayyum, T. Hayat, M. S. Alhuthali, H. M. Malaikah. Newtonian heating effects in three-dimensional flow of viscoelastic fluid[J]. Chin. Phys. B, 2014, 23(5): 54703-054703.

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Newtonian heating effects in three-dimensional flow of viscoelastic fluid

Newtonian heating effects in three-dimensional flow of viscoelastic fluid

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