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Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (12): 1509-1524.doi: https://doi.org/10.1007/s10483-014-1881-6

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Hall and ion slip effects on peristaltic flow and heat transfer analysis with Ohmic heating

S. ASGHAR1,2, Q. HUSSAIN1, T. HAYAT2,3, F. ALSAADI2   

  1. 1. Department of Mathematics, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan;
    2. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
    3. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
  • 收稿日期:2013-09-27 修回日期:2014-04-03 出版日期:2014-12-01 发布日期:2014-12-01
  • 通讯作者: Q. HUSSAIN, Professor, Ph.D., E-mail: q.hussain@hotmail.com E-mail:q.hussain@hotmail.com

Hall and ion slip effects on peristaltic flow and heat transfer analysis with Ohmic heating

S. ASGHAR1,2, Q. HUSSAIN1, T. HAYAT2,3, F. ALSAADI2   

  1. 1. Department of Mathematics, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan;
    2. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
    3. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
  • Received:2013-09-27 Revised:2014-04-03 Online:2014-12-01 Published:2014-12-01

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被引次数

1

摘要：

The peristaltic transport of a magnetohydrodynamic (MHD) fluid is examined for both symmetric and asymmetric channels. Hall and ion slip effects are taken into account. The heat transfer is analyzed by considering the effects of viscous and Ohmic dissipations. The relevant flow problems are first modeled, and then the closed form solutions are constructed under the assumptions of long wavelength and low Reynolds number. The solutions are analyzed through graphical illustration. It is noted that the velocity increases but the temperature decreases with the increases in the Hall and ion slip parameters. The axial pressure gradient is less in magnitude in the presence of Hall and ion slip currents. The Hall and ion slip effects are to decrease the maximum pressure against which peristalsis works as a pump. The free pumping flux decreases with the increases in the Hall and ion slip parameters. The increases in the Hall and ion slip parameters result in an increase in the size of the trapped bolus.

关键词: viscous and Ohmic heating, Hall and ion slip, heat transfer, peristalsis

Abstract:

The peristaltic transport of a magnetohydrodynamic (MHD) fluid is examined for both symmetric and asymmetric channels. Hall and ion slip effects are taken into account. The heat transfer is analyzed by considering the effects of viscous and Ohmic dissipations. The relevant flow problems are first modeled, and then the closed form solutions are constructed under the assumptions of long wavelength and low Reynolds number. The solutions are analyzed through graphical illustration. It is noted that the velocity increases but the temperature decreases with the increases in the Hall and ion slip parameters. The axial pressure gradient is less in magnitude in the presence of Hall and ion slip currents. The Hall and ion slip effects are to decrease the maximum pressure against which peristalsis works as a pump. The free pumping flux decreases with the increases in the Hall and ion slip parameters. The increases in the Hall and ion slip parameters result in an increase in the size of the trapped bolus.

Key words: peristalsis, viscous and Ohmic heating, Hall and ion slip, heat transfer

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