仿生工程学报

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Natural Propulsion with Lorentz Force and Nanoparticles in a Bioinspired Lopsided Ciliated Channel

Noreen Sher Akbar1, Liaqat Ali Khan2, Zafar Hayat Khan3, Nazir Ahmed Mir2   

  1. 1. DBS&H CEME, National University of Sciences and Technology, Islamabad, Pakistan
    2. Basic Science Department Ripha International University, Islamabad, Pakistan
    3. Department of Mathematics, University of Malakand, Chakdara, Dir (Lower), Khyber Pakhtunkhwa, Pakistan
  • 收稿日期:2016-06-16 修回日期:2016-12-16 出版日期:2017-01-10 发布日期:2017-01-16
  • 通讯作者: Liaqat Ali Khan E-mail:liaqatkhanripha@gmail.com
  • 作者简介:Noreen Sher Akbar1, Liaqat Ali Khan2, Zafar Hayat Khan3, Nazir Ahmed Mir2

Natural Propulsion with Lorentz Force and Nanoparticles in a Bioinspired Lopsided Ciliated Channel

Noreen Sher Akbar1, Liaqat Ali Khan2, Zafar Hayat Khan3, Nazir Ahmed Mir2   

  1. 1. DBS&H CEME, National University of Sciences and Technology, Islamabad, Pakistan
    2. Basic Science Department Ripha International University, Islamabad, Pakistan
    3. Department of Mathematics, University of Malakand, Chakdara, Dir (Lower), Khyber Pakhtunkhwa, Pakistan
  • Received:2016-06-16 Revised:2016-12-16 Online:2017-01-10 Published:2017-01-16
  • Contact: Liaqat Ali Khan E-mail:liaqatkhanripha@gmail.com
  • About author:Noreen Sher Akbar1, Liaqat Ali Khan2, Zafar Hayat Khan3, Nazir Ahmed Mir2

摘要: The transportation of biological and industrial nanofluids by natural propulsion like cilia movement and self-generated contraction-relaxation of flexible walls has tremendous applications in various fields. Inspired by multidisciplinary invention in this direction, a fluid mechanical model is proposed to study the Magneto-hydrodynamics (MHD) and heat transfer for nanofluids fabricated by the dispersion of nanoparticles in water as base fluid. The steady flow is induced by metachronal wave propulsion due to beating cilia. The flow regime is asymmetric channel. The flow is restricted under the low Reynolds number and long wavelength approximations. Cilia boundary conditions for velocity components are employed to find the exact solutions. The impacts of pertinent physical parameters on temperature profile, velocity profile, pressure, and stream lines are computed numerically. It is observed that velocity is inversely proportional to magnetic Reynolds number, Reynolds number, Strommer’s number and velocity is directly proportional to flow rate. It is analyzed that temperature is inversely proportional to Strommer’s number and magnetic Reynolds number and directly proportional to Brinkmann number and flow rate. The temperature is maximum at the center of the channel and it starts decreasing towards the boundary walls.

关键词: copper water, induced magnetic field, asymmetric ciliated channel, nanoparticles

Abstract: The transportation of biological and industrial nanofluids by natural propulsion like cilia movement and self-generated contraction-relaxation of flexible walls has tremendous applications in various fields. Inspired by multidisciplinary invention in this direction, a fluid mechanical model is proposed to study the Magneto-hydrodynamics (MHD) and heat transfer for nanofluids fabricated by the dispersion of nanoparticles in water as base fluid. The steady flow is induced by metachronal wave propulsion due to beating cilia. The flow regime is asymmetric channel. The flow is restricted under the low Reynolds number and long wavelength approximations. Cilia boundary conditions for velocity components are employed to find the exact solutions. The impacts of pertinent physical parameters on temperature profile, velocity profile, pressure, and stream lines are computed numerically. It is observed that velocity is inversely proportional to magnetic Reynolds number, Reynolds number, Strommer’s number and velocity is directly proportional to flow rate. It is analyzed that temperature is inversely proportional to Strommer’s number and magnetic Reynolds number and directly proportional to Brinkmann number and flow rate. The temperature is maximum at the center of the channel and it starts decreasing towards the boundary walls.

Key words: copper water, nanoparticles, asymmetric ciliated channel, induced magnetic field