Skip to main content

Performance of Magnetic Dipole Contribution on Ferromagnetic Heat and Mass Transfer Flow with the Influence of Nonlinear Radiative Heat Flux

  • Conference paper
  • First Online:
Advances in Mathematical Modeling and Scientific Computing (ICRDM 2022)

Abstract

This theoretical simulation investigates the effect of nonlinear radiative heat flux, chemical reaction, and quadric thermal radiation on ferromagnetic flow over a sheet. The governing PDEs are reduced into ODEs using the appropriate similarity variables. The dimensionless ODEs are solved using the Runge-Kutta (RK) method and the shooting technique with appropriate boundary conditions. A comparative study is performed to validate the present numerical scheme. The impact of distinct parameters on the transport phenomena is graphically illustrated. The mass and heat transmission rate as well as the surface-friction coefficient are estimated and presented in the form of tables. Considering a magnetic dipole with a heat flow across the stretched sheet is the novelty of this problem. Notable applications of this study are metallurgy, extrusion of polymers, production of papers, and rubber-manufactured sheets. The significant remarks of the present model reveal that energy transmission can be enhanced by augmenting the radiation parameter. Magnification in the Biot number causes an enhancement in the rate of heat transmission.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Hayat, T., Ahmad, S., Khan, M.I., Alsaedi, A.: Simulation of ferromagnetic nanomaterial flow of Maxwell fluid. Results Phys. 8, 34–40 (2018)

    Article  Google Scholar 

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

    Article  Google Scholar 

  3. Ali, L., Liu, X., Ali, B., Mujeed, S., Abdal, S., Khan, S.A.: Analysis of magnetic properties of Nano-particles due to a magnetic dipole in micropolar fluid flow over a stretching sheet. Coatings. 10, 170 (2020)

    Article  Google Scholar 

  4. Albrecht, T., Bührer, C., Fähnle, M., Maier, K., Platzek, D., Reske, J.: First observation of ferromagnetism and ferromagnetic domains in a liquid metal. Appl. Phys. A Mater. Sci. Process. 65, 215–220 (1997)

    Article  Google Scholar 

  5. Andersson, H., Valnes, O.: Flow of a heated ferrofluid over a stretching sheet in the presence of a magnetic dipole. Acta Mech. 128, 39–47 (1998)

    Article  Google Scholar 

  6. Shliomis, M.: Comment on “ferrofluids as thermal ratchets”. Phys. Rev. Lett. 92, 1–6 (2004)

    Article  Google Scholar 

  7. Neuringer, J.L., Rosensweig, R.E.: Ferrohydrodynamics. Phys. Fluids. 7, 1927–1937 (1964)

    Article  MathSciNet  Google Scholar 

  8. Bailey, R.: Lesser known applications of ferrofluids. J. Magn. Magn. Mater. 39, 178–182 (1983)

    Article  Google Scholar 

  9. Gupta, P.S., Gupta, A.S.: Heat and mass transfer on a stretching sheet with suction or blowing. Can. J. Chem. Eng. 55(6), 744–746 (1977)

    Article  Google Scholar 

  10. Rasool, G., Shafiq, A., Alqarni, M.S., Wakif, A., Khan, I., Bhutta, M.S.: Numerical scrutinization of Darcy-forchheimer relation in convective magnetohydrodynamic nanofluid flow bounded by nonlinear stretching surface in the perspective of heat and mass transfer. Micromachines. 12(4), 374 (2021)

    Article  Google Scholar 

  11. Shahid, A., Bhatti, M.M., Bég, O.A., Kadir, A.: Numerical study of radiative Maxwell viscoelastic magnetized flow from a stretching permeable sheet with the Cattaneo–Christov heat flux model. Neural Compu. Appl. 30(11), 3467–3478 (2018)

    Article  Google Scholar 

  12. Anantha Kumar, K., Venkata Ramudu, A.C., Sugunamma, V., Sandeep, N.: Effect of non-linear thermal radiation on MHD Casson fluid flow past a stretching surface with chemical reaction. Int. J. Ambient Energy. (2022). https://doi.org/10.1080/01430750.2022.2097947

  13. Devi, T.S., Lakshmi, C.V., Venkatadri, K., Reddy, M.S.: Influence of external magnetic wire on natural convection of non-Newtonian fluid in a square cavity. Partial Differ. Equ. Appl. Math. 4, 100041 (2021)

    Article  Google Scholar 

  14. Venkatadri, K., Shobha, A., Venkata Lakshmi, C., Ramachandra Prasad, V., Hidayathulla Khan, B.M.: Influence of magnetic wire positions on free convection of Fe3O4-water nanofluid in a square enclosure utilizing with MAC algorithm. J. Comput. Appl. Mech. 51(2), 323–331 (2020)

    Google Scholar 

  15. Kandelousi, M.S.: Effect of spatially variable magnetic field on ferrofluid flow and heat transfer considering constant heat flux boundary condition. Eu. Phys. J. Plus. 129(11), 1–12 (2014)

    Google Scholar 

  16. Senapati, M., Parida, S.K., Swain, K., Ibrahim, S.M.: Analysis of variable magnetic field on chemically dissipative MHD boundary layer flow of Casson fluid over a nonlinearly stretching sheet with slip conditions. Int. J. Ambient Energy. (2020). https://doi.org/10.1080/01430750.2020.1831601

  17. Gowda, R.P., Kumar, R.N., Prasannakumara, B.C., Nagaraja, B., Gireesha, B.J.: Exploring magnetic dipole contribution on ferromagnetic nanofluid flow over a stretching sheet: an application of Stefan blowing. J. Mol. Liq. 335, 116215 (2021)

    Article  Google Scholar 

  18. Chen, C.H.: Laminar mixed convection adjacent to vertical, continuously stretching sheets. Heat Mass Transf. 33, 471–476 (1998)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Venkatadri, K. et al. (2024). Performance of Magnetic Dipole Contribution on Ferromagnetic Heat and Mass Transfer Flow with the Influence of Nonlinear Radiative Heat Flux. In: Kamalov, F., Sivaraj, R., Leung, HH. (eds) Advances in Mathematical Modeling and Scientific Computing. ICRDM 2022. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-41420-6_34

Download citation

Publish with us

Policies and ethics