Skip to main content
Log in

Effect of magnetic field on the time-dependent flow due to a disk with non-torsional oscillation and a Newtonian fluid at infinity rotating about distinct axes

  • Published:
Sādhanā Aims and scope Submit manuscript

Abstract

This work aims to study the effect of magnetic field on the time-dependent flow of an insulated disk executing non-torsional oscillation in its own plane and a Newtonian fluid at infinity while they are initially rotating at the same speed about two vertical axes. It is shown that the presence of a magnetic field causes a resistive force and the required time to reach the periodic state becomes shorter. Further, it is demonstrated that there is an excellent agreement between the exact solution that is appropriate for all values of time and the periodic solution that is valid after the periodicity of the flow starts.

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

Access this article

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

Instant access to the full article PDF.

Figure 1
Figure 2
Figure 3
Figure 4

References

  1. Coirier J 1972 Rotations non coaxiales d’un disque et d’un fluide à l’infini. J. Méc. 11(2): 317–340

    MathSciNet  MATH  Google Scholar 

  2. Kasiviswanathan S R and Rao A R 1987 An unsteady flow due to eccentrically rotating porous disk and a fluid at infinity. Int. J. Eng. Sci. 25(11–12): 1419–1425

    Article  Google Scholar 

  3. Hayat T, Asghar S and Siddiqui A M 1999 Unsteady flow of an oscillating porous disk and a fluid at infinity. Meccanica 34(4): 259–265

    Article  Google Scholar 

  4. Guria M, Das B K and Jana R N 2007 Oscillatory flow due to eccentrically rotating porous disk and a fluid at infinity. Meccanica 42(5): 487–493

    Article  Google Scholar 

  5. Erdoğan M E 2000 Flow induced by non-coaxial rotation of a disk executing non-torsional oscillations and a fluid rotating at infinity. Int. J. Eng. Sci. 38(2): 175–196

    Article  Google Scholar 

  6. Hayat T, Ellahi R and Asghar S 2004 Flow induced by non-coaxial rotation of a porous disk executing non-torsional oscillations and a second grade fluid rotating at infinity. Appl. Math. Model. 28(6): 591–605

    Article  Google Scholar 

  7. Hayat T, Zamurad M, Asghar S and Siddiqui A M 2003 Magnetohydrodynamic flow due to non-coaxial rotations of a porous oscillating disk and a fluid at infinity. Int. J. Eng. Sci. 41(11): 1177–1196

    Article  Google Scholar 

  8. Hayat T, Ellahi R and Asghar S 2004 Unsteady periodic flows of a magnetohydrodynamic fluid due to noncoaxial rotations of a porous disk and a fluid at infinity. Math. Comput. Model. 40(1–2): 173–179

    Article  MathSciNet  Google Scholar 

  9. Hayat T, Ellahi R and Asghar S 2008 Hall effects on unsteady flow due to non-coaxially rotating disk and a fluid at infinity. Chem. Eng. Commun. 195(8): 958–976

    Article  Google Scholar 

  10. Hayat T, Ellahi R and Asghar S 2007 Unsteady magnetohydrodynamic non-Newtonian flow due to non-coaxial rotations of disk and a fluid at infinity. Chem. Eng. Commun. 194(1): 37–49

    Article  Google Scholar 

  11. Wang Y and Wu W 2007 Time-dependent magnetohydrodynamic flow induced by non-coaxial rotations of a non-torsionally oscillating porous plate and a third-order fluid at infinity. Math. Comput. Model. 46(9–10): 1277–1293

    Article  MathSciNet  Google Scholar 

  12. Ersoy H V 2017 Unsteady flow due to a disk executing non-torsional oscillation and a Newtonian fluid at infinity rotating about non-coaxial axes. Sadhana – Acad. Proc. Eng. Sci. 42(3): 307–315

    MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

The author would like to express his sincere thanks to the referees for their valuable comments and suggestions.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to H Volkan Ersoy.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ersoy, H.V. Effect of magnetic field on the time-dependent flow due to a disk with non-torsional oscillation and a Newtonian fluid at infinity rotating about distinct axes. Sādhanā 44, 152 (2019). https://doi.org/10.1007/s12046-019-1132-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12046-019-1132-y

Keywords

Navigation