Skip to main content

Advertisement

SpringerLink
Log in

Influence of binary chemical reaction with Arrhenius activation energy in MHD nonlinear radiative flow of unsteady Carreau nanofluid: dual solutions

  • Published:
Applied Physics A Aims and scope Submit manuscript

Abstract

Nanofluids are stable colloidal suspensions of metal or nonmetal element in a disreputable liquid, which intensify the heat transfer of the solution and exaggerate the storage aptitude. The forthright intention of this communication is to scrutinize the impact of binary chemical reaction and activation energy on dual nature structure for unsteady flow of Carreau magnetite nanofluid owing to shrinking/stretching sheet. In addition, the collective stimulus of convective conditions with nonlinear thermal radiation, viscous dissipation, joule heating and heat sink/source has been established for heat and mass transport phenomena. With assistance of compatible conversions, the partial differential equations are condensed into ordinary differential equations which are then elucidated numerically via bvp4c scheme and the impacts of intricate parameters on the flow fields are exposed explicitly. It is noted that the intensifying values of activation energy parameter and fitted rate constant clue to an enhancement in the nanofluid concentration.

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

Similar content being viewed by others

References

  1. S.U.S. Choi, Enhancing thermal conductivity of fluids with nanoparticles. ASME Int. Mech. Eng. 66, 99–105 (1995)

    Google Scholar 

  2. M.J. Babu, N. Sandeep, Three-dimensional MHD slip flow of nanofluids over a slendering stretching sheet with thermophoresis and Brownian motion effects. Adv. Powder Technol. 27, 2039–2050 (2016)

    Article  Google Scholar 

  3. M. Atlas, R.U. Haq, T. Mekkaoui, Active and zero flux of nanoparticles between a squeezing channel with thermal radiation effects. J. Mol. Liq. 223, 289–298 (2016)

    Article  Google Scholar 

  4. M. Waqas, M. Ijaz Khan, T. Hayat, A. Alsaedi, Numerical simulation for magneto Carreau nanofluid model with thermal radiation: a revised model. Comput. Methods Appl. Mech. Eng. 324, 640–653 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  5. T. Hayat, M. Rashid, A. Alsaedi, MHD convective flow of magnetite-Fe3O4 nanoparticles by curved stretching sheet. Results Phys. 7, 3107–3115 (2017)

    Article  ADS  Google Scholar 

  6. M.S. Anwar, A. Rasheed, Simulations of a fractional rate type nanofluid flow with non-integer Caputo time derivatives. Comput. Math. Appl. 74, 2485–2502 (2017)

    Article  MathSciNet  Google Scholar 

  7. M. Irfan, M. Khan, W.A. Khan, M. Sajid, Thermal and solutal stratifications in flow of Oldroyd-B nanofluid with variable conductivity. Appl. Phys. A (2018). https://doi.org/10.1007/s00339-018-2086-3

    Article  Google Scholar 

  8. K. Vajravelu, G. Sarojamma, K. Sreelakshmi, Ch Kalyani, Dual solutions of an unsteady flow, heat and mass transfer of an electrically conducting fluid over a shrinking sheet in the presence of radiation and viscous dissipation. Int. J. Mech. Sci. 130, 119–132 (2017)

    Article  Google Scholar 

  9. M. Irfan, M. Khan, W.A. Khan, Numerical analysis of unsteady 3D flow of Carreau nanofluid with variable thermal conductivity and heat source/sink. Results Phys. 7, 3315–3324 (2017)

    Article  ADS  Google Scholar 

  10. T. Hayat, M. Rashid, A. Alsaedi, Three dimensional radiative flow of magnetite-nanofluid with homogeneous-heterogeneous reactions. Results Phys. 8, 268–275 (2018)

    Article  ADS  Google Scholar 

  11. A. Hashim, M. Hamid, Khan, U. Khan, Thermal radiation effects on Williamson fluid flow due to an expanding/contracting cylinder with nanomaterials: dual solutions, Phy. Lett. A. https://doi.org/10.1016/j.physleta.2018.04.0570

  12. A.R. Bestman, Natural convection boundary layer with suction and mass transfer in a porous medium. Int. J. Energy Res. 14, 389–396 (1990)

    Article  Google Scholar 

  13. Z. Shafique, M. Mustafa, A. Mushtaq, Boundary layer flow of Maxwell fluid in rotating frame with binary chemical reaction and activation energy. Results Phys. 6, 627–633 (2016)

    Article  ADS  Google Scholar 

  14. M. Mustafa, J.A. Khan, T. Hayat, A. Alsaedi, Buoyancy effects on the MHD nanofluid flow past a vertical surface with chemical reaction and activation energy. Int. J. Heat Mass Transf. 108, 1340–1346 (2017)

    Article  Google Scholar 

  15. X. Ren, J. Chen, G. Li, Y. Wang, X. Lang, S. Fan, Thermal oxidative degradation kinetics of agricultural residues using distributed activation energy model and global kinetic model. Bioresour. Technol. 261, 403–411 (2018)

    Article  Google Scholar 

  16. A. Zeeshan, N. Shehzad, R. Ellahi, Analysis of activation energy in Couette–Poiseuille flow of nanofluid in the presence of chemical reaction and convective boundary conditions. Results Phys. 8, 502–512 (2018)

    Article  ADS  Google Scholar 

  17. M.I. Khan, S. Qayyum, T. Hayat, M. Waqas, M.I. Khan, A. Alsaedi, Entropy generation minimization and binary chemical reaction with Arrhenius activation energy in MHD radiative flow of nanomaterial. J. Mol. Liq. 259, 274–283 (2018)

    Article  Google Scholar 

  18. A. Hamid, Hashim, M. Khan, Impacts of binary chemical reaction with activation energy on unsteady flow of magneto-Williamson nanofluid. J. Mol. Liq. 262, 435–442 (2018)

    Article  Google Scholar 

  19. M.I. Khan, T. Hayat, M.I. Khan, A. Alsaedi, Activation energy impact in nonlinear radiative stagnation point flow of cross nanofluid. Int. Commun. Heat Mass Transf. 91, 216–224 (2018)

    Article  Google Scholar 

  20. M. Sheikholeslami, D.D. Ganji, M.Y. Javed, R. Ellahi, Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model. J. Magn. Magn. Mater. 374, 36–43 (2015)

    Article  ADS  Google Scholar 

  21. C.S.K. Raju, M.M. Hoque, T. Sivasankar, Radiative flow of Casson fluid over a moving wedge filled with gyrotactic microorganisms. Adv. Powder Tech. 28, 575–583 (2017)

    Article  Google Scholar 

  22. M. Khan, M. Irfan, W.A. Khan, Impact of forced convective radiative heat and mass transfer mechanisms on 3D Carreau nanofluid: a numerical study. Eur. Phys. J. Plus (2017). https://doi.org/10.1140/epjp/i2017-11803-3

    Article  Google Scholar 

  23. B. Mahanthesh, B.J. Gireesha, G.T. Thammanna, S.A. Shehzad, F.M. Abbasi, R.S.R. Gorla, Nonlinear convection in nano Maxwell fluid with nonlinear thermal radiation: a three-dimensional study. Alex Eng. J. (2017). https://doi.org/10.1016/j.aej.2017.03.037

    Article  MATH  Google Scholar 

  24. M. Rashid, M.I. Khan, T. Hayat, M.I. Khan, A. Alsaedi, Entropy generation in flow of ferromagnetic liquid with nonlinear radiation and slip condition. J. Mol. Liq. 276, 441–452 (2019)

    Article  Google Scholar 

  25. M. Khan, M. Irfan, L. Ahmad, W.A. Khan, Simultaneous investigation of MHD and convective phenomena on time-dependent flow of Carreau nanofluid with variable properties: dual solutions. Phys. Lett. A 382, 2334–2342 (2018)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Acknowledgements

The authors wish to convey their true thanks to the reviewers for their substantial suggestions and comments to progress the superiority of this manuscript. This work has the financial support from Higher Education Commission (HEC) of Pakistan under the project number 6210.

Author information

Authors and Affiliations

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000, Pakistan

    M. Irfan & M. Khan

  2. Department of Mathematics, Mohi-Ud-Din Islamic University, Nerian Sharif, Azad, Jammu and Kashmir, Pakistan

    W. A. Khan

  3. Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Upper Dir, 18000, Pakistan

    L. Ahmad

Authors
  1. M. Irfan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Khan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. W. A. Khan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. L. Ahmad
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Irfan.

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

Irfan, M., Khan, M., Khan, W.A. et al. Influence of binary chemical reaction with Arrhenius activation energy in MHD nonlinear radiative flow of unsteady Carreau nanofluid: dual solutions. Appl. Phys. A 125, 179 (2019). https://doi.org/10.1007/s00339-019-2457-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00339-019-2457-4

Search

Navigation