Skip to main content
Log in

Analysis of magnetic properties of nanoparticles due to applied magnetic dipole in aqueous medium with momentum slip condition

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

This article examines the boundary layer flow of magnetic nanofluid over a stretching surface with velocity slip condition. Water is selected as a base liquid whereas ferromagnetic, paramagnetic, diamagnetic, anti-ferromagnetic, and ferrimagnetic are chosen as nanoparticles. The use of magnetic nanoparticle is to control the flow and heat transfer process via external magnetic field. The governing partial differential equations are transformed into highly nonlinear ordinary differential equations. Numerical solution of the resulting problem is obtained. Effect of emerging physical parameters on velocity, temperature, skin friction coefficient, and Nusselt number are explained graphically. We observe that diamagnetic case has gained maximum thermal conductivity as compared with the other ones. Furthermore, skin friction coefficient increases with the variation of β and K1, and opposite interpretation is noted for Nusselt number.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Keblinski P, Prasher R, Eapen J (2008) Thermal conductance of nanofluids: is the controversy over? J Nanopart Res 10(7):1089–1097

    Article  Google Scholar 

  2. Volz S (Ed) (2009) Thermal nanosystems and nanomaterials (Vol. 118). Springer Science and Business Media

  3. Godson L, Raja B, Lal DM, Wongwises S (2010) Enhancement of heat transfer using nanofluids—an overview. Renew Sust Energ Rev 14(2):629–641

    Article  Google Scholar 

  4. Das SK, Choi SU, Yu W, Pradeep T (2007) Nanofluids: science and technology. John Wiley and Sons

  5. Özerinç S, Kakaç S, Yazıcıoğlu AG (2010) Enhanced thermal conductivity of nanofluids: a state-of-the-art review. Microfluid Nanofluid 8(2):145–170

    Article  Google Scholar 

  6. Wen D, Lin G, Vafaei S, Zhang K (2009) Review of nanofluids for heat transfer applications. Particuology 7(2):141–150

    Article  Google Scholar 

  7. Nkurikiyimfura I, Wang Y, Pan Z (2013) Heat transfer enhancement by magnetic nanofluids—a review. Renew Sust Energ Rev 21:548–561

    Article  Google Scholar 

  8. Odenbach S (2004) Recent progress in magnetic fluid research. J Physic Conden Matter 16(32):R1135

    Article  Google Scholar 

  9. Ganguly R, Puri IK (2007) Field-assisted self-assembly of superparamagnetic nanoparticles for biomedical, MEMS and BioMEMS applications. Adv Appl Mechanics 41:293–335

    Article  Google Scholar 

  10. Vales-Pinzón C, Alvarado-Gil JJ, Medina-Esquivel R, Martínez-Torres P (2014) Polarized light transmission in ferrofluids loaded with carbon nanotubes in the presence of a uniform magnetic field. J Magn Magn Mat 369:114–121

    Article  Google Scholar 

  11. Yellen BB, Fridman G, Friedman G (2004) Ferrofluid lithography. Nanotechnology 15(10):S562

    Article  Google Scholar 

  12. Odenbach S (Ed) (2008) Ferrofluids: magnetically controllable fluids and their applications (vol. 594). Springer

  13. Choi SUS, George Z, Keblinski P (2004) Encyclopedia. Nanosci Nano Technol 6:755–757

    Google Scholar 

  14. Yu DM, Routbort JL, Choi SUS (2008) Review and comparison of nanofluid thermal conductivity and heat transfer enhancements. Heat Transf Eng 29:432–460

    Article  Google Scholar 

  15. Sheikholeslami M (2017) Numerical simulation of magnetic nanofluid natural convection in porous media. Phys Lette A 381(5):494–503

    Article  Google Scholar 

  16. Abareshi M, Goharshadi EK, Zebarjad SM, Fadafan HK, Youssefi A (2010) Fabrication, characterization and measurement of thermal conductivity of Fe3O4 nanofluids. J Magn Magn Mater 322(24):3895–3901

    Article  Google Scholar 

  17. Li Q, Xuan Y, Wang J (2005) Experimental investigations on transport properties of magnetic fluids. Exp Thermal Fluid Sci 30:109–116

    Article  Google Scholar 

  18. Yirga Y, Tesfay D (2015) Heat and mass transfer in MHD flow of nanofluids through a porous media due to a permeable stretching sheet with viscous dissipation and chemical reaction effects. World Acad Sci, Eng Tech, Int J Mech, Aero, Indus, Mecha Manu Eng 9:674–681

    Google Scholar 

  19. Sheikholeslami M, Vajravelu K (2017) Nanofluid flow and heat transfer in a cavity with variable magnetic field. Applied Math Comput 298:272–282

    MathSciNet  Google Scholar 

  20. Sheikholeslami M, Rokni HB (2017) Nanofluid two phase model analysis in existence of induced magnetic field. Int J Heat Mass Transf 107:288–299

    Article  Google Scholar 

  21. Sheikholeslami M, Rashidi MM (2015) Effect of space dependent magnetic field on free convection of Fe3O4–water nanofluid. J Taiwan Inst Chem Eng 56:6–15

    Article  Google Scholar 

  22. Sheikholeslami M, Ganji DD, Rashidi MM (2015) Ferrofluid flow and heat transfer in semi annulus enclosure in the presence of magnetic source considering thermal radiation. J Taiwan Inst Chem Eng 47:6–17

    Article  Google Scholar 

  23. Li Q, Xuan Y (2009) Experimental investigation on heat transfer characteristics of magnetic fluid flow around a fine wire under the influence of an external magnetic field. Exp Therm Fluid S 33:91–596

    Google Scholar 

  24. Ramzan M, Bilal M, Chung JD (2017) Radiative flow of Powell-Eyring magneto-Nanofluid over a stretching cylinder with chemical reaction and double stratification near a stagnation point. PLoS One 12(1):e0170790

    Article  Google Scholar 

  25. Ramzan M, Bilal M, Farooq U, Chung JD (2016) Mixed convective radiative flow of second grade nanofluid with convective boundary conditions. An optimal solution. Results Phy 6:796–804

    Article  Google Scholar 

  26. Issa B, Obaidat IM, Albiss BA, Haik Y (2013) Magnetic nanoparticles: surface effects and properties related to biomedicine applications. Int J Mol Sci 14(11):21266–21305

    Article  Google Scholar 

  27. Shahzad F, Haq RU, Al-Mdallal QM (2016) Water driven Cu nanoparticles between two concentric ducts with oscillatory pressure gradient. J Mol Liq 224:322–332

    Article  Google Scholar 

  28. Haq RU, Shahzad F, Al-Mdallal QM (2017) MHD pulsatile flow of engine oil based carbon nanotubes between two concentric cylinders. Results in Physics 7:57–68

    Article  Google Scholar 

  29. Khan JA, Mustafa M, Hayat T, Alsaedi A (2015) Three-dimensional flow of nanofluid over a non-linearly stretching sheet: an application to solar energy. Int J Heat Mass Transf 86:158–164

    Article  Google Scholar 

  30. Hayat T, Imtiaz M, Alsaedi A (2015) MHD 3D flow of nanofluid in presence of convective conditions. J Mol Liq 212:203–208

    Article  Google Scholar 

  31. Majeed A, Zeeshan A, Ellahi R (2016) Unsteady ferromagnetic liquid flow and heat transfer analysis over a stretching sheet with the effect of dipole and prescribed heat flux. J Mol Liq 223:528–533

    Article  Google Scholar 

  32. Farooq U, Zhao YL, Hayat T, Alsaedi A, Liao SJ (2015) Application of the HAM-based Mathematica package BVPh 2.0 on MHD Falkner-Skan flow of nano-fluid. Comp Fluids 111:69–75

    Article  MathSciNet  MATH  Google Scholar 

  33. Hussain T, Shehzad SA, Hayat T, Alsaedi A (2015) Hydromagnetic flow of third grade nanofluid with viscous dissipation and flux conditions. AIP Adv 5(8):087169

    Article  Google Scholar 

  34. Sheikholeslami M, Hayat T, Alsaedi A (2016) MHD free convection of Al2O3-water nanofluid considering thermal radiation: a numerical study. Int J Heat Mass Transf 96:513–524

    Article  Google Scholar 

  35. Imtiaz M, Hayat T, Alsaedi A (2016) Flow of magneto nanofluid by a radiative exponentially stretching surface with dissipation effect. Adv Powd Tech 27(5):2214–2222

    Article  Google Scholar 

  36. Ramzan M, Bilal M, Chung JD, Mann AB (2017) On MHD radiative Jeffery nanofluid flow with convective heat and mass boundary conditions. Neural Comput Appl:1–10

  37. Ramzan M, Yousaf F, Farooq M, Chung JD (2016) Mixed convective viscoelastic nanofluid flow past a porous media with Soret-Dufour effects. Commun in Theor Phy 66(1):133

    Article  MathSciNet  MATH  Google Scholar 

  38. Prabhakar B, Bandari S, Haq RU (2016) Impact of inclined Lorentz forces on tangent hyperbolic nanofluid flow with zero normal flux of nanoparticles at the stretching sheet. Neural Comput Appl 1–10. doi:10.1007/s00521-016-2601-4

  39. Prabhakar B, Haq RU, Bandari S, Al-Mdallal QM (2016) Mixed convection flow of thermally stratified MHD nanofluid over an exponentially stretching surface with viscous dissipation effect. J Taiwan Inst of Chem Eng 71:307–314

    Google Scholar 

  40. Sheikholeslami M (2017) Magnetic field influence on nanofluid thermal radiation in a cavity with tilted elliptic inner cylinder. J Mol Liq 229:137–147

    Article  Google Scholar 

  41. Mooney M (1931) Explicit formulas for slip and fluidity. J Rheol 2(2):210–222

    Article  Google Scholar 

  42. Bocquet L, Barrat JL (2007) Flow boundary conditions from nano- to micro-scales. Soft Matter 3:685e693

    Article  Google Scholar 

  43. Van Gorder RA, Sweet E, Vajravelu K (2010) Nano boundary layers over stretching surfaces. Commun Nonlinear Sci Numer Simulat 15:1494-1500

  44. Titus LS, Abraham A (2015) Ferromagnetic liquid flow due to gravity-aligned stretching of an elastic sheet. J Appl Fluid Mech 8(3):591–600

    Article  Google Scholar 

  45. Tiwari RK, Das MN (2007) Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. Int J Heat Mass Transf 50:2002–2018

    Article  MATH  Google Scholar 

  46. Andersson HI, Valnes OA (1998) Flow of a heated Ferrofluid over a stretching sheet in the presence of a magnetic dipole. Acta Mech 12:39–47

    Article  MATH  Google Scholar 

  47. Sheikholeslami M, Chamkha AJ (2016) Flow and convective heat transfer of a ferro-nanofluid in a double-sided lid-driven cavity with a wavy wall in the presence of a variable magnetic field. Numer Heat Transf Part A Applications 69(10):1186–1200

    Article  Google Scholar 

  48. Domkundwar AV, Domdundwar VM (2004) Heat and mass transfer data book. Dhanparai and co (p) Ltd. Edu Tech Pub, Delhi

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Zeeshan.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Majeed, A., Zeeshan, A. & Hayat, T. Analysis of magnetic properties of nanoparticles due to applied magnetic dipole in aqueous medium with momentum slip condition. Neural Comput & Applic 31, 189–197 (2019). https://doi.org/10.1007/s00521-017-2989-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-017-2989-5

Keywords

Navigation