Skip to main content
Log in

Insight into the dynamics of non-Newtonian Carreau fluid when viscous dissipation, entropy generation, convective heating and diffusion are significant

  • Published:
Applied Mathematics-A Journal of Chinese Universities Aims and scope Submit manuscript

Abstract

The investigation endorsed the convective flow of Carreau nanofluid over a stretched surface in presence of entropy generation optimization. The novel dynamic of viscous dissipation is utilized to analyze the thermal mechanism of magnetized flow. The convective boundary assumptions are directed in order to examine the heat and mass transportation of nanofluid. The thermal concept of thermophoresis and Brownian movements has been re-called with the help of Buongiorno model. The problem formulated in dimensionless form is solved by NDSolve MATHEMATICA. The graphical analysis for parameters governed by the problem is performed with physical applications. The affiliation of entropy generation and Bejan number for different parameters is inspected in detail. The numerical data for illustrating skin friction, heat and mass transfer rate is also reported. The motion of the fluid is highest for the viscosity ratio parameter. The temperature of the fluid rises via thermal Biot number. Entropy generation rises for greater Brinkman number and diffusion parameter.

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.

Similar content being viewed by others

References

  1. S U S Choi. Enhancing thermal conductivity of fluids with nanoparticles, Int Mech Eng Cong Exp, ASME, FED 231/ MD, 1995, 66: 99–105.

    Google Scholar 

  2. J Buongiorno. Convective transport in nanofluids, J Heat Transfer, 2006, 128(3): 240–250.

    Article  Google Scholar 

  3. M Turkyilmazoglu. Fully developed slip flow in a concentric annuli via single and dual phase nanofluids models, Comput Meth Prog Biomed, 2019, 179: 104997.

    Article  Google Scholar 

  4. B Souayeh, K G Kumar, M G Reddy, S Rani, N Hdhiri, H Alfannakh, M Rahimi-Gorji. Slip flow and radiative heat transfer behavior of Titanium alloy and ferromagnetic nanoparticles along with suspension of dusty fluid, J Mol Liq, 2019, 290: 111223.

    Article  CAS  Google Scholar 

  5. A Wakif, I L Animasaun, P V S Narayana, G Sarojamma. Meta-analysis on thermo-migration of tiny/nano-sized particles in the motion of various fluids, Chin J Phys, 2020, 68: 293–307.

    Article  CAS  Google Scholar 

  6. A Hajizadeh, N A Shah, S I A Shah, I L Animasaun, M Rahimi-Gorji, I M Alarifi. Free convection flow of nanofluids between two vertical plates with damped thermal flux, J Mol Liq, 2019, 289: 110964.

    Article  CAS  Google Scholar 

  7. Z Nisar, T Hayat, A Alsaedi, B Ahmad. Significance of activation energy in radiative peristaltic transport of Eyring-Powell nanofluid, Int Commun Heat Mass Transf, 2020, 116: 104655.

    Article  CAS  Google Scholar 

  8. I Mustafa, A Ghaffari, T Javed, J N Abbasi. Numerical examination of thermophysical properties of Cobalt Ferroparticles over a wavy surface saturated in non-Darcian porous medium, J Non-Equilib Thermodyn, 2020, 45(2): 109–120.

    Article  ADS  CAS  Google Scholar 

  9. Y M Chu, F Ahmad, M I Khan, M Nazeer, F Hussain, N B Khan, S Kadry, L Mei. Numerical and scale analysis of non-Newtonian fluid (Eyring-Powell) through pseudo-spectral collocation method (PSCM) towards a magnetized stretchable Riga surface, Alex Eng J, 2021, 60(2): 2127–2137.

    Article  Google Scholar 

  10. Y M Chu, S Aziz, M I Khan, S U Khan, M Nazeer, I Ahmed, I Tlili. Nonlinear radiative bioconvection flow of Maxwell nanofluid configured by bidirectional oscillatory moving surface with heat generation phenomenon, Phys Scripta, 2020, 95(10): 105007.

    Article  ADS  CAS  Google Scholar 

  11. M Kumar, K P Kashyap, N N Kumar. Effect of magnetite nanoparticles on couple stress fluid between two parallel squeezing and expanding surfaces, SN Appl Sci, 2020, 2: 848.

    Article  CAS  Google Scholar 

  12. A S Oke, I L Animasaun, W N Mutuku, M Kimathi, N A Shah, S Saleem. Significance of Coriolis force, volume fraction, and heat source/sink on the dynamics of water conveying 47 nm alumina nanoparticles over a uniform surface, Chinese J Phys, 2021, https://doi.org/10.1016/j.cjph.2021.02.005.

  13. M Kumar, G J Reddy, N Dalir. Transient entropy analysis of the magnetohydrodynamics flow of a Jeffrey fluid past an isothermal vertical flat plate, Pramana, 2018, 60: 91.

    Google Scholar 

  14. N Shukla, P Rana, O A Bg. Unsteady MHD non-Newtonian heat transfer nanofluids with entropy generation analysis, Nonlinear Eng, 2019, 8: 630–644.

    Article  ADS  Google Scholar 

  15. M R Salimi, M Taeibi-Rahni, H Rostamzadeh. Heat transfer and entropy generation analysis in a three-dimensional impinging jet porous heat sink under local thermal non-equilibrium condition, Int J Thermal Sci, 2020, 153: 106348.

    Article  Google Scholar 

  16. M Khan, A Shahid, M ElShafey, T Salahuddin, F Khan. Predicting entropy generation in flow of non-Newtonian flow due to a stretching sheet with chemically reactive species, Comput Meth Prog Biomed, 2020, 187: 105246.

    Article  Google Scholar 

  17. Y M Chu, F Shah, M I Khan, S Kadry, Z Abdelmalek, W A Khan. Cattaneo-Christov double diffusions (CCDD) in entropy optimized magnetized second grade nanofluid with variable thermal conductivity and mass diffusivity, J Mater Resear Techn, 2020, 9(6): 13977–13987.

    Article  Google Scholar 

  18. N Khan, I Riaz, M S Hashmi, S A Musmar, S U Khan, Z Abdelmalek, I Tlili. Aspects of chemical entropy generation in flow of Casson nanofluid between radiative stretching disks, Entropy, 2020, 22(5): 495.

    Article  ADS  MathSciNet  CAS  PubMed  PubMed Central  Google Scholar 

  19. S M Seyyedi, A S Dogonchi, M H Tilehnoee, M Waqas, D D Ganji. Entropy generation and economic analyses in a nanofluid filled L-shaped enclosure subjected to an oriented magnetic field, Appl Thermal Eng, 2020, 168: 114789.

    Article  CAS  Google Scholar 

  20. M Kumar, G J Reddy, G R Kiran, M A M Aslam, O A Beg. Computation of entropy generation in dissipative transient natural convective viscoelastic flow, Heat Transfer Asian Resear, 2019, 48(3): 1067–1092.

    Article  Google Scholar 

  21. O K Koriko, K S Adegbie, N A Shah, I L Animasaun, M A Olotu. Numerical solutions of the partial differential equations for investigating the significance of partial slip due to lateral velocity and viscous dissipation: The case of blood-gold Carreau nanofluid and dusty fluid, Numer Meth Partial Diff Eq, 2021, https://doi.org/10.1002/num.22754.

  22. P J Carreau. Rheological equations from molecular network theories, Trans Soc Rheol, 1972, 16: 99–127.

    Article  CAS  Google Scholar 

  23. T Hayat, S Qayyum, M Waqas, B Ahmed. Influence of thermal radiation and chemical reaction in mixed convection stagnation point flow of Carreau fluid, Results Phys, 2017, 7: 4058–4064.

    Article  ADS  Google Scholar 

  24. M Khan, M Y Malik, T Salahuddin. Heat generation and solar radiation effects on Carreau nanofluid over a stretching sheet with variable thickness: Using coefficients improved by cash and carp, Results Phys, 2017, 7: 2512–2519.

    Article  ADS  Google Scholar 

  25. M Farooq, Q A Anzar, T Hayat, M I Khan, A Anjum. Local similar solution of MHD stagnation point flow in Carreau fluid over a non-linear stretched surface with double stratified medium, Results Phys, 2017, 7: 3078–3089.

    Article  ADS  Google Scholar 

  26. I L Animasaun, R O Ibraheem, B Mahanthesh, H A Babatunde. A meta-analysis on the effects of haphazard motion of tiny/nano-sized particles on the dynamics and other physical properties of some fluids, Chinese J Phys, 2019, 60: 676–687.

    Article  ADS  MathSciNet  CAS  Google Scholar 

  27. O A Abegunrin, S O Okhuevbie, I L Animasaun. Comparison between the flow of two non-Newtonian fluids over an upper horizontal surface of paraboloid of revolution: Boundary layer analysis, Alex Eng J, 2016, 55(3): 1915–1929.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Muhammad Ijaz Khan.

Ethics declarations

Conflict of interest The authors declare 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

Zhou, Ss., Khan, M.I., Khan, S.U. et al. Insight into the dynamics of non-Newtonian Carreau fluid when viscous dissipation, entropy generation, convective heating and diffusion are significant. Appl. Math. J. Chin. Univ. 39, 34–46 (2024). https://doi.org/10.1007/s11766-024-3682-y

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11766-024-3682-y

Keywords

MR Subject Classification

Navigation