Skip to main content
SpringerLink
Log in

Significance of exponential space- and thermal-dependent heat source effects on nanofluid flow due to radially elongated disk with Coriolis and Lorentz forces

  • Published:
Journal of Thermal Analysis and Calorimetry Aims and scope Submit manuscript

Abstract

In this paper, the nanofluid flow near an infinite disk which stretches in the radial direction in the presence of exponential space-based heat source (ESHS) and thermal-based heat source (THS) is investigated. The Brownian motion and thermophoresis effects are accounted to study the nanofluids. Effects of radial magnetism and the Coriolis force are also deployed. The pertinent nonlinear equations are approximated under boundary layer notion and modified von Kármán transformations. The subsequent nonlinear differential system is treated via shooting method. The impacts of controlling parameters on flow profiles are discussed and depicted with the aid of graphs. Results show that as the ESHS and THS parameters increase, the thermal field increases. However, ESHS phenomenon is highly influential than THS phenomenon on energy transport and its gradient. Further, it is found that thermophoresis slip mechanism has more effect on heat transport rate than the Brownian motion.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  1. Choi SUS. Enhancing thermal conductivity of fluids with nanoparticles. In: ASME, FED 231/MD, vol 66, p 99–105. 1995.

  2. Kuznetsov AV, Nield DA. Natural Convective boundary-layer flow of a nanofluid past a vertical plate: a revised model. Int J Therm Sci. 2014;77:126–9.

    Article  Google Scholar 

  3. Sheikholeslami M, Mustafa MT, Ganji DD. Effect of Lorentz forces on forced convection nanofluid flow over a stretched surface. Particuology. 2016;26:108–13.

    Article  CAS  Google Scholar 

  4. Hayat T, Aziz A, Muhammad T, Alsaedi A, Mustafa M. On magnetohydrodynamic flow of second-grade nanofluid over a convectively heated nonlinear stretching surface. Adv Powder Technol. 2016;27:1992–2004.

    Article  Google Scholar 

  5. Hsiao KL. Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia feature. Int J Heat Mass Transf. 2017;112:983–90.

    Article  Google Scholar 

  6. Reddy JR, Sugunamma V, Sandeep N. Thermophoresis and Brownian motion effects on unsteady MHD nanofluid flow over a slendering stretching surface with slip effects. Alex Eng J. 2018;57(4):2465–73.

    Article  Google Scholar 

  7. Makinde OD, Animasaun IL. Thermophoresis and Brownian motion effects on MHD bioconvection of nanofluid with nonlinear thermal radiation and quartic chemical reaction past an upper horizontal surface of a paraboloid of revolution. J Mol Liq. 2016;221:733–43.

    Article  CAS  Google Scholar 

  8. Mahanthesh B, Gireesha BJ, Raju CSK. Cattaneo–Christov heat flux on UCM nanofluid flow across a melting surface with double stratification and exponential space dependent internal heat source. Inform Med Unlocked. 2017;9:26–34.

    Article  Google Scholar 

  9. Kumar RK, Raju CS, Mahanthesh B, Gireesha BJ, Varma SV. Chemical reaction effects on nano carreau liquid flow past a cone and a wedge with Cattaneo–Christov heat flux model. Int J Chem React Eng. 2017. https://doi.org/10.1515/ijcre-2017-0108.

    Article  Google Scholar 

  10. Sheikholeslami M, Ganji DD, Javed MY, Ellahi R. Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model. J Magn Magn Mater. 2015;374:36–43.

    Article  CAS  Google Scholar 

  11. Hayat T, Hussain Z, Muhammad T, Alsaedi A. Effects of homogeneous and heterogeneous reactions in flow of nanofluids over a nonlinear stretching surface with variable surface thickness. J Mol Liq. 2016;221:1121–7.

    Article  CAS  Google Scholar 

  12. Hayat T, Muhammad K, Muhammad T, Alsaedi A. Melting heat in radiative flow of carbon nanotubes with homogeneous-heterogeneous reactions. Commun Theor Phys. 2018;69(4):441.

    Article  CAS  Google Scholar 

  13. Koriko OK, Omowaye AJ, Sandeep N, Animasaun IL. Analysis of boundary layer formed on an upper horizontal surface of a paraboloid of revolution within nanofluid flow in the presence of thermophoresis and Brownian motion of 29 nm CuO. Int J Mech Sci. 2017;124:22–36.

    Article  Google Scholar 

  14. Hayat T, Waqas M, Shehzad SA, Alsaedi A. On model of Burgers fluid subject to magneto nanoparticles and convective conditions. J Mol Liq. 2016;222:181–7.

    Article  CAS  Google Scholar 

  15. Mahanthesh B, Gireesha BJ, Gorla RSR, Abbasi FM, Shehzad SA. Numerical solutions for magnetohydrodynamic flow of nanofluid over a bidirectional non-linear stretching surface with prescribed surface heat flux boundary. J Magn Magn Mater. 2016;417:189–96.

    Article  CAS  Google Scholar 

  16. Mebarek-oudina F, Bessaïh R. Numerical modeling of MHD stability in a cylindrical configuration. J Frankl Inst. 2014;351:667–81.

    Article  Google Scholar 

  17. Mahender D, Srikanth Rao P. Unsteady MHD free convection and mass transfer flow past a porous vertical plate in presence of viscous dissipation”. J Phys Conf Ser. 2015;662:012012. https://doi.org/10.1088/1742-6596/662/1/012012.

    Article  Google Scholar 

  18. Mebarek-Oudina F, Bessaih R. Oscillatory magnetohydrodynamic natural convection of liquid metal between vertical coaxial cylinders. J Appl Fluid Mech. 2016;9(4):1655–65.

    Google Scholar 

  19. Mebarek-Oudina F. Numerical modeling of the hydrodynamic stability in vertical annulus with heat source of different lengths. Eng Sci Technol Int J. 2017;20(4):1324–33.

    Google Scholar 

  20. Gireesha BJ, Mahanthesh B, Rashidi MM. MHD boundary layer heat and mass transfer of a chemically reacting Casson fluid over a permeable stretching surface with non-uniform heat source/sink. Int J ind Math. 2015;7(3):247–60.

    Google Scholar 

  21. Von Karman T. Uber laminar and turbulent reibung. ZAMM. 1921;1:233–5.

    Article  Google Scholar 

  22. Fang T. Flow over a stretchable disk. Phys Fluids. 2007;19(12):128105.

    Article  Google Scholar 

  23. Turkyilmazoglu M. MHD fluid flow and heat transfer due to a stretching rotating disk. Int J Therm Sci. 2012;51:195–201.

    Article  Google Scholar 

  24. Mushtaq A, Mustafa M. Computations for nanofluid flow near a stretchable rotating disk with axial magnetic field and convective conditions. Results Phys. 2017;7:3137–44.

    Article  Google Scholar 

  25. Aziz A, Alsaedi A, Muhammad T, Hayat T. Numerical study for heat generation/absorption in flow of nanofluid by a rotating disk. Results Phys. 2018;8:785–92.

    Article  Google Scholar 

  26. Mahanthesh B, Gireesha BJ, Shashikumar NS, Shehzad SA. Marangoni convective MHD flow of SWCNT and MWCNT nanoliquids due to a disk with solar radiation and irregular heat source. Phys E. 2017;94:25–30.

    Article  CAS  Google Scholar 

  27. Mahanthesh B, Gireesha BJ, Prasannakumara BC, Kumar PBS. Magneto-Thermo-Marangoni convective flow of Cu–H2O nanoliquid past an infinite disk with particle shape and exponential space based heat source effects. Results Phys. 2017;7:2990–6.

    Article  Google Scholar 

  28. Mahanthesh B, Gireesha BJ, Shehzad SA, Rauf A, Kumar PBS. Nonlinear radiated MHD flow of nanoliquids due to a rotating disk with irregular heat source and heat flux condition. Phys B. 2018;537:98–104.

    Article  CAS  Google Scholar 

Download references

Acknowledgements

The author (B Mahanthesh) is thankful to the Management of CHRIST (Deemed to be University), Bangalore, India, for their support to complete this research work. We would also like to thank the Editor and the anonymous reviewers for their constructive suggestions.

Author information

Authors and Affiliations

  1. Department of Mathematics, CHRIST (Deemed to be University), Bangalore, 560029, India

    Basavarajappa Mahanthesh

  2. Department of Engineering and Architecture, University of Parma, Parco Area Delle Scienze 181/A, 43124, Parma, Italy

    Giulio Lorenzini

  3. Department of Physics, Faculty of Sciences, University of 20 août 1955 - Skikda, B.P 26 Road El-Hadaiek, 21000, Skikda, Algeria

    Feteh Mebarek Oudina

  4. Fluid Dynamics Research Group, Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria

    Isac Lare Animasaun

Authors
  1. Basavarajappa Mahanthesh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Giulio Lorenzini
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Feteh Mebarek Oudina
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Isac Lare Animasaun
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Giulio Lorenzini.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mahanthesh, B., Lorenzini, G., Oudina, F.M. et al. Significance of exponential space- and thermal-dependent heat source effects on nanofluid flow due to radially elongated disk with Coriolis and Lorentz forces. J Therm Anal Calorim 141, 37–44 (2020). https://doi.org/10.1007/s10973-019-08985-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10973-019-08985-0

Keywords

Search

Navigation