Abstract
The purpose of the present study is to examine the swirling flow problem for hybrid nanoliquid \(\left( {A{l_2}{O_3} - Cu/{H_2}O} \right)\) over a rotating disk under the influence of Hall current and a convectively heated surface. The flow model is developed using the well-known Tiwari and Das nanofluid model. Joule and viscous dissipations produced in the presence of magnetic field and viscosity, respectively, are accounted in the energy equation. Mathematical modeling of the total entropy production rate is also presented. The nonlinear partial differential equations, which describe the flow phenomenon, are metamorphosed by transformation into the non-dimensional ordinary differential equations (ODEs). The bvp4c technique is then employed in conjunction with the boundary conditions to solve the constructed ODEs. The influences of the relevant flow characteristics on entropy production, flow field (axial and tangential velocity), Bejan number and temperature profiles are depicted graphically. In addition, the effect of shape factor of scattered nanoparticles, such as \(Al_2O_3\) and Cu, on the surface drag force and rate of heat transference is measured and tabulated. The results show that as the Hall parameter rises, the axial fluid velocity rises as well. Entropy generation improves with either the increase in magnetic parameter or Brinkman number.
Similar content being viewed by others
References
M S Liu, M C C Lin, I T Huang and C C Wang Int. Comm. Heat Mass Transf. 32 1202 (2005)
M Turkyilmazoglu Chem. Engg. Sci. 84 182 (2012)
J Sarkar, P Ghosh and A Adil Ren. Sus. Energ. Rev. 43 164 (2015)
F Selimefendigil and A J Chamkha Comp. Therm. Sci.: An Int. J. 8 555 (2016)
S Ghadikolaei M Yassari, H Sadeghi, K Hosseinzadeh and D Ganji Powder Tech. 322 428 (2017)
A Kumar, R Singh, G Seth and R Tripathi J. Nanofluids 7 338 (2018)
A Kumar, R Singh, G S Seth and R Tripathi Int. J. Heat Tech. 36 1430 (2018)
A Kumar, R Singh and R Tripathi Int. Conf. Math. Modell. Sci. Comp. 308 279 (2020)
S Dinarvand, M N Rostami and I Pop Scientific Reports 9 1 (2019)
M Sheikholeslami, S A Farshad, Z. Ebrahimpour and Z Said J. Clean. Product. 293 126119 (2021)
S Deng, M Li, Y Yang and T Xiao App. Ther. Engg. 196 117314 (2021)
M Sheikholeslami, S A Farshad and Z Said Int. Comm. Heat Mass Transf. 123 (2021) 105190
M Sheikholeslami, M Jafaryar, Z Saidc, A I Alsabery, H Babazadeh and A Shafee App. Ther. Engg. 182 115935 (2021)
Z Said, L S Sundar, A K Tiwari, H M Ali, M Sheikholeslami, E Bellos and H Babar Phy. Rep.https://doi.org/10.1016/j.physrep.2021.07.002(2021)
B Vasu and A K Ray Int. J. Num. Meth. Heat Fluid Flow 29 702 (2018)
A K Ray, B Vasu, O A Beg, R S R Gorla and PVSN Murthy Int J. Num. Meth. Heat and Fluid Flow 29 4277 (2019)
A Kumar, R Singh and M A Sheremet Math. Meth. App. Sci. DOI.org/10.1002/mma.7124 (2021)
T V Karman Z. Angew. Math. Mech. 1 233 (1921)
H Xu Int. Comm. Heat Mass Transf. 108 104275 (2019)
M Zangooee K Hosseinzadeh and D. Ganji Case Studies Therm. Engg. 14 100460 (2019)
J Ahmed, M Khan and L Ahmad Physics Letters A 383 1300 (2019)
S M R S Naqvi, H M Kim, T Muhammad, F Mallawi and M Z Ullah Int. Comm. Heat Mass Transf. 116 104643 (2020)
G W Sutton and A Sherman Engineering magnetohydrodynamics (Dover Civil and Mechanical Engineering) (2006)
C R Braiding and M Wardle Mont. Not. Royal Astron. Soc. 422 261 (2012)
H A Attia and A L A Hassan App. Math. Modell. 25 1089 (2001)
M Ahmad, H Zaman and N Rehman Open Phys. 8 422 (2010)
H Zaman App. Math. Phys. 1 31 (2013)
T Hayat, M Rafiq and A Alsaedi Int. J. Therm. Sci. 112 129 (2017)
N Acharya, R Bag and P K Kundu Physica E 111 103 (2019)
A Kumar, R Tripathi, R Singh and G Seth Indian J. Phys. 94 319 (2020)
A Bejan Second law analysis in heat transfer Energy 5 720 (1980)
A Arikoglu, I Ozkol and G Komurgoz App. Energy 85 1225 (2008)
M I Khan, A Alsaedi, T Hayat and N B Khan Comp. Meth. Prog. Biom. 179 104973 (2019)
M I Afridi, T A Alkanhal, M Qasim and I Tlili Entropy 21 941 (2019)
X Chen, T Zhao, M Q Zhang and Q Chen Int. J. Heat Mass Transf. 137 1191 (2019)
M I Khan, F Shah, T Hayat and A Alsaedi Physica A 527 121154 (2019)
W Deebani, A Tassaddiq, Z Shah, A Dawar and F Ali Entropy 22 480 (2020)
M W Ahmad, L B McCash, Z Shah and R. Nawaz Coatings 10 610 (2020)
A Kumar, R Tripathi, R Singh and V K Chaurasiya Physica A 551 123972 (2020)
A Kumar, R Tripathi, R Singh and M A Sheremet Indian J. Phys. 95 1423 (2021)
H Attia Int. Comm. Heat Mass Transf. 28 439 (2001)
D Cimpean, M Sheremet and I Pop Int. Comm. Heat Mass Transf. 116 104627 (2020)
U Farooq, M I Afridi, M Qasim and D Lu Entropy 20 668 (2018)
A Bhattad and J Sarkar J. Therm. Anal. Calorim. 143 767 (2019)
E H Aly and I Pop Powder Tech. 367 192 (2020)
M Awad Int. J. Heat Mass Transf. 94 101 (2016)
H I Andersson, E Korte, R. Meland Fluid Dyn. Res. 28 75 (2001)
Ming, L Zheng and X Zhang Int. Commun. Heat Mass Tran. 38 280 (2011)
Acknowledgements
The authors are thankful to the Science and Engineering Research Board (SERB), Department of Science and Technology (DST), Govt. of India, for providing the financial support through the research project with no.: ECR/2017/001754, Dated 31-07-2018.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of Interest
On behalf of all authors, the corresponding author states that there is no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Kumar, A., Ray, R.K. Shape effect of nanoparticles and entropy generation analysis for magnetohydrodynamic flow of \(\left( {A{l_2}{O_3} - Cu/{H_2}O} \right)\) hybrid nanomaterial under the influence of Hall current. Indian J Phys 96, 3817–3830 (2022). https://doi.org/10.1007/s12648-022-02300-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12648-022-02300-8