Applied Mathematics and Mechanics (English Edition) ›› 2020, Vol. 41 ›› Issue (11): 1671-1684.doi: https://doi.org/10.1007/s10483-020-2669-9

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Flow of colloidal suspension and irreversibility analysis with aggregation kinematics of nanoparticles in a microchannel

S. SINDHU, B. J. GIREESHA   

  1. Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta, Shivamogga 577451, Karnataka, India
  • 收稿日期:2020-05-14 修回日期:2020-07-23 发布日期:2020-10-24
  • 通讯作者: B. J. GIREESHA E-mail:bjgireesu@rediffmail.com

Flow of colloidal suspension and irreversibility analysis with aggregation kinematics of nanoparticles in a microchannel

S. SINDHU, B. J. GIREESHA   

  1. Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta, Shivamogga 577451, Karnataka, India
  • Received:2020-05-14 Revised:2020-07-23 Published:2020-10-24
  • Contact: B. J. GIREESHA E-mail:bjgireesu@rediffmail.com

摘要: The current exploration focuses on the ethylene glycol (EG) based nanoliquid flow in a microchannel. The effectiveness of the internal heat source and linear radiation is reflected in the present investigation. The estimation of suitable thermal conductivity model has affirmative impact on the convective heat transfer phenomenon. The examination is conceded with the nanoparticle aggregation demonstrated by the MaxwellBruggeman and Krieger-Dougherty models which tackle the formation of nanolayer. These models effectively describe the thermal conductivity and viscosity correspondingly. The dimensionless mathematical expressions are solved numerically by the Runge Kutta Fehlberg approach. A higher thermal field is attained for the Bruggeman model due to the formation of thermal bridge. A second law analysis is carried out to predict the sources of irreversibility associated with the thermal system. It is remarked that lesser entropy generation is obtained for the aggregation model. The entropy generation rate declines with the slip flow and the thermal heat flux. A notable enhancement in the Bejan number is attained by increasing the Biot number. It is established that the nanoparticle aggragation model exhibits a higher Bejan number in comparision with the usual flow model.

关键词: nanoparticle aggregation, nanoliquid, microchannel, slip parameter, heat flux

Abstract: The current exploration focuses on the ethylene glycol (EG) based nanoliquid flow in a microchannel. The effectiveness of the internal heat source and linear radiation is reflected in the present investigation. The estimation of suitable thermal conductivity model has affirmative impact on the convective heat transfer phenomenon. The examination is conceded with the nanoparticle aggregation demonstrated by the MaxwellBruggeman and Krieger-Dougherty models which tackle the formation of nanolayer. These models effectively describe the thermal conductivity and viscosity correspondingly. The dimensionless mathematical expressions are solved numerically by the Runge Kutta Fehlberg approach. A higher thermal field is attained for the Bruggeman model due to the formation of thermal bridge. A second law analysis is carried out to predict the sources of irreversibility associated with the thermal system. It is remarked that lesser entropy generation is obtained for the aggregation model. The entropy generation rate declines with the slip flow and the thermal heat flux. A notable enhancement in the Bejan number is attained by increasing the Biot number. It is established that the nanoparticle aggragation model exhibits a higher Bejan number in comparision with the usual flow model.

Key words: nanoparticle aggregation, nanoliquid, microchannel, slip parameter, heat flux

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