Analytical Solution for Peristaltic Transport of Viscous Nanofluid in an Asymmetric Channel with Full Slip and Convective Conditions

Abdelhalim Ebaid, Emad H. Aly, K. Vajravelu

理论物理通讯 ›› 2017, Vol. 68 ›› Issue (01) : 96-102.

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会计学季刊
Quarterly Journal of Accounting
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香港中文大学会计学院
上海财经大学会计学院
南京大学商学院会计学系
ISSN: 3006-1415
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理论物理通讯 ›› 2017, Vol. 68 ›› Issue (01) : 96-102.

Analytical Solution for Peristaltic Transport of Viscous Nanofluid in an Asymmetric Channel with Full Slip and Convective Conditions

  • Abdelhalim Ebaid1, Emad H. Aly2,3, K. Vajravelu4
作者信息 +

Analytical Solution for Peristaltic Transport of Viscous Nanofluid in an Asymmetric Channel with Full Slip and Convective Conditions

  • Abdelhalim Ebaid1, Emad H. Aly2,3, K. Vajravelu4
Author information +
文章历史 +

摘要

The peristaltic flow of nanofluids is a relatively new area of research.Scientists are of the opinion that the no-slip conditions at the boundaries are no longer valid and consequently,the first and the second order slip conditions should be addressed.In this paper,the effects of slip conditions and the convective boundary conditions at the boundary walls on the peristaltic flow of a viscous nanofluid are investigated for.Also,the exact analytical solutions are obtained for the model.The obtained results are presented through graphs and discussed.The results reveal that the two slip parameters have strong effects on the temperature and the nanoparticles volume fraction profiles.Moreover,it has been seen that the temperature and nanoparticles volume fraction profiles attain certain values when the first slip condition exceeds a specified value.However,no limit value for the second slip parameter has been detected.Further,the effects of the various emerging parameters on the flow and heat transfer characteristics have been presented.

Abstract

The peristaltic flow of nanofluids is a relatively new area of research.Scientists are of the opinion that the no-slip conditions at the boundaries are no longer valid and consequently,the first and the second order slip conditions should be addressed.In this paper,the effects of slip conditions and the convective boundary conditions at the boundary walls on the peristaltic flow of a viscous nanofluid are investigated for.Also,the exact analytical solutions are obtained for the model.The obtained results are presented through graphs and discussed.The results reveal that the two slip parameters have strong effects on the temperature and the nanoparticles volume fraction profiles.Moreover,it has been seen that the temperature and nanoparticles volume fraction profiles attain certain values when the first slip condition exceeds a specified value.However,no limit value for the second slip parameter has been detected.Further,the effects of the various emerging parameters on the flow and heat transfer characteristics have been presented.

关键词

nanofluid / peristaltic flow / slip model / convective conditions / asymmetric channel

Key words

nanofluid / peristaltic flow / slip model / convective conditions / asymmetric channel

引用本文

导出引用
Abdelhalim Ebaid, Emad H. Aly, K. Vajravelu. Analytical Solution for Peristaltic Transport of Viscous Nanofluid in an Asymmetric Channel with Full Slip and Convective Conditions[J]. 理论物理通讯, 2017, 68(01): 96-102
Abdelhalim Ebaid, Emad H. Aly, K. Vajravelu. Analytical Solution for Peristaltic Transport of Viscous Nanofluid in an Asymmetric Channel with Full Slip and Convective Conditions[J]. Communications in Theoretical Physics, 2017, 68(01): 96-102
中图分类号: 47.61.-k    82.60.Qr    65.80.-n    47.20.Gv   

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