Microsystem Technologies

, Volume 25, Issue 1, pp 283–294 | Cite as

Nanoparticles shape effects on peristaltic transport of nanofluids in presence of magnetohydrodynamics

  • Noreen Sher Akbar
  • A. Bintul Huda
  • Muhammad Bilal Habib
  • D. Tripathi
Technical Paper


Magnetohydrodynamics plays important role to manipulate the physiological fluids due to magnetic nature of physiological fluids. Magnetohydrodynamics pumps are a robust technology which provide more elegant and sustainable performance compared with conventional medical pumps. To study the effects of suspension of the nanoparticles (drugs) in physiological fluids (blood) flow are important in biomedical science and engineering. Motivated by such applications, an analytical approach is presented to study the nanoparticle shape effects on peristaltic transport of nanofluids in presence of magnetohydrodynamics in the present article. A two dimensional continuity, momentum and energy equations are considered to govern the present biophysical model. The governing equations are also linearized using lubrication theory where we consider the low Reynolds number and long wavelength approximations. Closed form solutions are obtained for axial velocity, axial pressure gradient, temperature, pressure rise, wall shear stress and stream function. The effects of three different type of shapes (bricks, cylinders, and platelets) of nanoparticles on peristaltic pumping characteristics and thermal characteristics are computed with the help of graphical illustrations. The interesting outcomes of this study are relevant to more realistic designs for ocular peristaltic pumps in drug delivery systems.



  1. Abbas Z, Naveed M, Sajid M (2016) Hydromagnetic slip flow of nanofluid over a curved stretching surface with heat generation and thermal radiation. J Mol Liq 215:756–762CrossRefGoogle Scholar
  2. Akbar NS, Tripathi D, Khan ZH, Bég OA (2016a) A numerical study of magnetohydrodynamic transport of nanofluids over a vertical stretching sheet with exponential temperature-dependent viscosity and buoyancy effects. Chem Phys Lett 661:20–30CrossRefGoogle Scholar
  3. Akbar NS, Huda AB, Tripathi D (2016b) Thermally developing MHD peristaltic transport of nanofluids with velocity and thermal slip effects. Eur Phys J Plus 131(9):332CrossRefGoogle Scholar
  4. Akbar NS, Tripathi D, Khan ZH, Bég OA (2017a) Mathematical model for ciliary-induced transport in MHD flow of Cu–H2O nanofluids with magnetic induction. Chin J Phys 55(3):947–962CrossRefGoogle Scholar
  5. Akbar NS, Abid SA, Tripathi D, Mir NA (2017b) Nanostructures study of CNT nanofluids transport with temperature-dependent variable viscosity in a muscular tube. Eur Phys J Plus 132(3):110CrossRefGoogle Scholar
  6. Akbar NS, Butt AW, Tripathi D (2017c) Nanoparticle shapes effects on unsteady physiological transport of nanofluids through a finite length non-uniform channel. Results Phys 7:2477–2484CrossRefGoogle Scholar
  7. Akbar NS, Butt AW, Tripathi D (2017d) Biomechanically driven unsteady non-uniform flow of copper water and Silver water nanofluids through finite length channel. Comput Methods Progr Biomed 146:1–9CrossRefGoogle Scholar
  8. Angue Minsta H, Roy G, Nguyen CT, Doucet D (2009) New temperature and conductivity data for water-based nanofluids. Int J Therm Sci 48(2):363–371CrossRefGoogle Scholar
  9. Assael MJ, Metaxa I, Kakosimos KE, Constantinou D (2006) Thermal conductivity of nanofluids—experimental and theoretical. Int J Thermophys 27(4):999–1017CrossRefGoogle Scholar
  10. Batchelor GK, Green JT (1972) Determination of bulk stress in a suspension of spherical-articles to order C-2. J Fluid Mech 56:401–427CrossRefzbMATHGoogle Scholar
  11. Brinkman HC (1952) The viscosity of concentrated suspensions and solutions. J Chem Phys 20:571CrossRefGoogle Scholar
  12. Bruno L, Bruno A, Alexandra F, Nelson M, Mónica O (2014) Critical analysis of the thermal conductivity models for CNT based nanofluids. Int J Therm Sci 78:65–76CrossRefGoogle Scholar
  13. Burns JC, Parkes T (1967) Peristaltic motion. J Fluid Mech 29(4):731–743CrossRefGoogle Scholar
  14. Choi US, Eastman JA (1995) Enhancing thermal conductivity of fluids with nanoparticles. ASME International Mechanical Engineering Congress and Exposition, San FranciscoGoogle Scholar
  15. Chon CH, Kihm KD, Lee SP, Choi SUS (2005) Empirical correlation finding the role of temperature and particle size for nanofluid (Al2O3) thermal conductivity enhancement. Appl Phys Lett 87(97):153107CrossRefGoogle Scholar
  16. Einstein A (1906) Eine neue bestimmung der molek¨uldimensionen. Ann Phys 19:289–306CrossRefzbMATHGoogle Scholar
  17. Fung YC, Yih CS (1968) ASME. J Appl Mech 35:669–675CrossRefGoogle Scholar
  18. George O, Sanjeeva W, Joseph A, Yulong D (2012) Computational analysis of factors influencing enhancement of thermal conductivity of nanofluids. Institute of Particle Science and Engineering, University of Leeds, LeedsGoogle Scholar
  19. Hamilton RL, Crosser OK (1962) Thermal conductivity of heterogeneous two-component systems. I&EC Fund 1(3):187–191CrossRefGoogle Scholar
  20. Joan Ibbora R (2012) Nanofluids: thermophysical analysis and heat transfer performance. Master of Science thesis, KTH School of Industrial Engineering and Management Energy Technology, Division of Applied Thermodynamics, StockholmGoogle Scholar
  21. Khan WA, Makinde OD, Khan ZH (2016) Non-aligned MHD stagnation point flow of variable viscosity nanofluids past a stretching sheet with radiative heat. Int J Heat Mass Transf 96:525–534CrossRefGoogle Scholar
  22. Latham W (1966) Fluid motion in a peristaltic pump. MSc thesis, Massachusetts Institute of Technology, CambridgeGoogle Scholar
  23. Makinde OD, Onyejekwe OO (2011) A numerical study of MHD generalized Couette flowand heat transfer with variable viscosity and electrical conductivity. J Magn Magn Mater 323:2757–2763CrossRefGoogle Scholar
  24. Makinde OD, Khan WA, Culham JR (2016a) MHD variable viscosity reacting flow over a convectively heated plate in a porous medium with thermophoresis and radiative heat transfer. Int J Heat Mass Transf 93:595–604CrossRefGoogle Scholar
  25. Makinde OD, Mabood F, Khan WA, Tshehla MS (2016b) MHD flow of a variable viscosity nanofluid over a radially stretching convective surface with radiative heat. J Mol Liq 219:624–630CrossRefGoogle Scholar
  26. Maxwell JCA (1881) reatise on electricity and magnetism, 2nd edn. Clarendon Press, OxfordGoogle Scholar
  27. Nayak MK, Akbar NS, Pandey VS, Khan ZH, Tripathi D (2017a) 3D free convective MHD flow of nanofluid over permeable linear stretching sheet with thermal radiation. Powder Technol 315:205–215CrossRefGoogle Scholar
  28. Nayak MK, Akbar NS, Tripathi D, Khan ZH, Pandey VS (2017b) MHD 3D free convective flow of nanofluid over an exponentially stretching sheet with chemical reaction. Adv Powder Technol 28(9):2159–2166CrossRefGoogle Scholar
  29. Nayak MK, Akbar NS, Tripathi D, Pandey VS (2017c) Three dimensional MHD flow of nanofluid over an exponential porous stretching sheet with convective boundary conditions. Therm Sci Eng Progr 3:133–140CrossRefGoogle Scholar
  30. Nguyen CT, Desgranges F, Roy G, Galanis N, Mare T, Boucher S, Angue Minsta H (2007) Temperature and particle-size dependent viscosity data for water based nanofluids hysteresis phenomenon. Int J Heat Fluid Flow 28:1492–1506CrossRefGoogle Scholar
  31. Ozerinc S, Kakac S, Yazıcıoglu AG (2010) Enhanced thermal conductivity of nanofluids: a state-of-the-art review. Microfluids Nanofluids 8:145–170CrossRefGoogle Scholar
  32. Tertsinidou GJ, Tsolakidou CM, Pantzali Maria, Assael MJ (2017) New measurements of the apparent thermal conductivity of nanofluids and investigation of their heat transfer capabilities. J Chem Eng Data 62(1):491–507CrossRefGoogle Scholar
  33. Tripathi D, Sharma A, Bég OA (2017) Electrothermal transport of nanofluids via peristaltic pumping in a finite micro-channel: effects of Joule heating and Helmholtz-Smoluchowski velocity. Int J Heat Mass Transf 111:138–149CrossRefGoogle Scholar
  34. Wang X-Q, Mujumdar AS (2007) Heat transfer characteristics of nanofluids: a review. Int J Therm Sci 46(1):1–19CrossRefGoogle Scholar
  35. Xuan Y, Li Q (2000) Heat transfer enhancement of nanofluids. Int J Heat Fluid Flow 21(1):58–64CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Noreen Sher Akbar
    • 1
  • A. Bintul Huda
    • 2
  • Muhammad Bilal Habib
    • 3
  • D. Tripathi
    • 4
  1. 1.DBS&H, CEME, National University of Sciences and TechnologyIslamabadPakistan
  2. 2.Mathematics and Statistics DepartmentRiphah International University I-14IslamabadPakistan
  3. 3.College of Medical Laboratory TechnologyNational Institute of Health IslamabadIslamabadPakistan
  4. 4.Department of Mechanical EngineeringManipal University JaipurJaipurIndia

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