Abstract
This research article looks at entropy generation and activation energy analysis on hydromagnetic and thermally radiated nanofluid flow generated by a nonlinearly stretching sheet of variable thickness considering heat generation, mixed convection, velocity slip, viscous dissipation, thermal slip, binary chemical reaction and Ohmic dissipation aspects. Governing model equations of continuity, momentum, energy and concentration are converted into ODEs by employing appropriate similarity transformations. The resulting coupled highly nonlinear equations have been solved numerically with the help of the Runge–Kutta–Fehlberg method-based shooting technique. Results obtained for a particular case of the current fluid flow problem are in good agreement with the existing results. The graphical outcomes are discussed for velocity, temperature, entropy generation and concentration regarding various controlling parameters. The impacts of different controlling parameters on the local skin-friction coefficient, local Nusselt and Sherwood numbers are also analyzed and the numerical results are presented in tabular form. The obtained results reveal a reduction in entropy generation for growing values of magnetic and temperature ratio parameters near the solid surface, while a reverse effect is noticed for power-law index and Brinkmann number.
Similar content being viewed by others
References
A V Kuznetsov and D A Nield Int. J. Therm. Sci. 49 243 (2010)
W A Khan and I Pop Int. J. Heat Mass Transf. 53 2477 (2010)
C Kleinstreuer and Y Feng Nanoscale Res. Lett. 6 229 (2011)
W A Khan and A Aziz Int. J. Therm. Sci. 50 1207 (2011)
O D Makinde and A Aziz Int. J. Therm. Sci. 50 1326 (2011)
S Nandi and B Kumbhakar Indian J. Phys. (2021). https://doi.org/10.1007/s12648-020-02001-0
W Ibrahim, B Shankar and M M Nandeppanavar Int. J. Heat Mass Transf. 56 1 (2013)
B Ganga, S Saranya, G N Vishnu and H A K Abdul J. Hydrodyn. 27 945 (2015)
S P A Devi and P Suriyakumar J. Taibah Univ. Sci. 11 1275 (2017)
W Ibrahim Propuls. Power Res. 6 214 (2017)
S Ghosh and S Mukhopadhyay Pramana-J. Phys. 94 61 (2020)
T V Laxmi and B Shankar J. Appl. Math. Phys. 4 307 (2016)
M J Babu and N Sandeep Alex. Eng. J. 55 1931 (2016)
U Khan, N Ahmed, B Bin-mohsen and S T Mohyud-din Int. J. Numer. Method Heat Fluid Flow 27 48 (2017)
O D Makinde, K G Kumar, S Manjunatha and B J Gireesha Defect Diffus. Forum 378 125 (2017)
K G Kumar, B J Gireesha, S Manjunatha and N G Rudraswamy Int. J. Mech. Mater. Eng. 12 18 (2017)
D Pal, K Vajravelu and G Mandal J. Mech. 30 289 (2014)
M G Reddy, P Padma and B Shankar Ain Shams Eng. J. 6 1195 (2015)
M R Krishnamurthy, B C Prasannakumara, B J Gireesha and R S R Gorla Cogent math. 2 1050973 (2015)
K Govardhan, G Narender and G S Sarma Int. J. Math. Eng. Manag. Sci. 5 343 (2020)
A B Jafar, S Shafie and I Ullah Heliyon 6 e04201 (2020)
T Hayat, M Imtiaz and A Alsaedi Adv. Powder Technol. 27 1301 (2016)
Y S Daniel, Z A Aziz, Z Ismail and F Salah Chinese J. Phys. 55 630 (2017)
S M Ibrahim, P V Kumar, G Lorenzini and E Lorenzini J. Eng. Thermophys. 28 332 (2019)
D Srinivasacharya and P Jgadeeshwar Math. Sci. 13 201 (2019)
W Ibrahim and B Shankar Comput. Fluids 75 1 (2013)
R U Haq, S Nadeem, Z H Khan and N S Akbar Physica E 65 17 (2015)
A Awais, T Hayat, A Ali and S Irum Alex. Eng. J. 55 2107 (2016)
D Ramya, R S Raju, J A Rao and A J Chamkha Propuls. Power Res. 7 182 (2018)
N Najib, N Bachok, N MD Arifin and F MD Ali Numer. Algebra Control. Optim. 9 423 (2019)
S Nandi and B Kumbhakar Int. Commun. Heat Mass Transf. 118 104813 (2020)
M M Rashidi, M M Bhatti, M A Abbas and M El-S Ali Entropy 18 117 (2016)
S Das, S Chakraborty, R N Jana and O D Makinde Appl. Math. Mech. 36 1593 (2015)
N Freidoonimehr and A B Rahimi Appl. Math. Mech. 28 671 (2016)
T Abbas, M Ayub, M M Bhatti, M M Rashidi and M El-S Ali Entropy 18 223 (2016)
M M Bhatti, T Abbas, M M Rashidi, M El-S Ali and Z Yang Entropy 18 224 (2016)
T Armaghani, A Kasaeipoor, N Alavi and M M Rashidi J. Mol. Liq. 36 243 (2016)
M M Rashidi, M Nasiri, M S Shadloo and Z Yang Heat Transf. Eng. 38 853 (2016)
N Shukla, P Rana and O A Beg Nonlinear Eng. 8 630 (2019)
S Jain and P Gupta Int. J. Heat Technol. 37, 131 (2019)
S Ahmad, T Hayat and A Alsaedi Int. Commun. Heat Mass Transf. 117 104772 (2020)
H Berrehal, F Mabood and O D Makinde Eur. Phys. J. Plus 135 535 (2020)
S Shaw, A S Dogonchi, M K Nayak and O D Makinde Arab. J. Sci. Eng. 45 5471 (2020)
A Kumar, R K Ray and M A Sheremet Indian J. Phys. (2021). https://doi.org/10.1007/s12648-021-02015-2
S Anuradha and K Sasikala Glob. J. Pure Appl. Math. 13 6483 (2017)
M Ramzan, N Ullah, J D Chung, D Lu and U Farooq Sci. Rep. 7 12901 (2017)
C J Etwire, I Y Seini, R Musah and O D Makinde Eng. Trans. 67 387 (2019)
M Dhlamini, P K Kameswaran, P Sibanda, S Motsa and H Mondal J. Comput. Des. Eng. 6 149 (2019)
N S Khan, P Kumam and P Thounthong Sci. Rep. 10 1226 (2020)
R Nandkeolyar, S S Motsa and P Sibanda J. Nanotechnol. Eng. Med. 4 041002 (2013)
M H M Yasin, A Ishak and I Pop Sci. Rep. 5 17848 (2015)
S P Goqo, S D Oloniiju, H Mondal, P Sibanda and S S Motsa Case Stud. Therm. Eng. 12 774 (2018)
H Sithole, H Mondal and P Sibanda Results Phys. 9 1077 (2018)
T Hayat, M Kanwal, S Qayyum and A Alsaedi Physica A 544 123437 (2020)
S Nandi, B Kumbhakar, G S Seth, A J Chamkha Phys. Scr. 96 065206 (2021)
T Fang, J Zhang and Y Zhong Appl. Math. Comput. 218 7241 (2012)
M M Khader and A M Megahed Eur. Phys. J. Plus128 100 (2013)
Acknowledgements
The authors express their sincere thanks to the National Institute of Technology Meghalaya for providing financial support and resources for carrying out the present analysis. Further, the authors would like to thank all the reviewers for their valuable comments and suggestions for improving the quality of the paper.
Author information
Authors and Affiliations
Corresponding author
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
Nandi, S., Kumbhakar, B. Entropy generation in MHD nanofluid flow induced by a slendering stretching sheet with activation energy, viscous dissipation and Joule heating impacts. Indian J Phys 96, 2873–2892 (2022). https://doi.org/10.1007/s12648-021-02206-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12648-021-02206-x