Entropy Generation of Three-Dimensional Williamson Nanofluid Flow Explored with Hybrid Carbon Nanotubes over a Stretching Sheet

P.S.S. Nagalakshmi; N. Vijaya; Shaik Mohammed Ibrahim

doi:10.37934/cfdl.15.7.112130

Authors

P.S.S. Nagalakshmi Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram, A.P, 522502, India.
N. Vijaya Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram, A.P, 522502, India
Shaik Mohammed Ibrahim Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram, A.P, 522502, India.

DOI:

https://doi.org/10.37934/cfdl.15.7.112130

Keywords:

Python, Hybrid CNT, Peclet number

Abstract

The current study simulated the three-dimensional Williamson nanofluid flow model over a stretching sheet in the presence of Cason parameter explored with hybrid carbon nanotubes. The governing equations are modelled and interpreted using adequate similarity transformations and physical phenomena to convert into nonlinear coupled ordinary differential equations. In order to solve these equations, a Python coding program is used with an open-source boundary value problem solver. The obtained numerical results are validated with related literature results. The results are interpreted through graphs and tables with thermos-physical parameters like thermal Peclet number. It is found that the growth rate of heat transfer from fluid to wall with booming non-linear thermal radiation, radiation, and thermal Peclet number parameters

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Author Biographies

P.S.S. Nagalakshmi, Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram, A.P, 522502, India.

sathya.krishnat@gmail.com

N. Vijaya, Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram, A.P, 522502, India

vijayanalleboyina@gmail.com

Shaik Mohammed Ibrahim, Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram, A.P, 522502, India.

ibrahim@kluniversity.in

References

Modather, M., A. M. Rashad, and A. J. Chamkha. "An analytical study of MHD heat and mass transfer oscillatory flow of a micropolar fluid over a vertical permeable plate in a porous medium." Turkish Journal of Engineering and Environmental Sciences 33, no. 4 (2009): 245-258.

Chamkha, Ali J., A. S. Dogonchi, and D. D. Ganji. "Magnetohydrodynamic nanofluid natural convection in a cavity under thermal radiation and shape factor of nanoparticles impacts: a numerical study using CVFEM." Applied Sciences 8, no. 12 (2018): 2396. https://doi.org/10.3390/app8122396

Dogonchi, A. S., Seyyed Masoud Seyyedi, M. Hashemi-Tilehnoee, Ali J. Chamkha, and D. D. Ganji. "Investigation of natural convection of magnetic nanofluid in an enclosure with a porous medium considering Brownian motion." Case Studies in Thermal Engineering 14 (2019): 100502. https://doi.org/10.1016/j.csite.2019.100502

Krishna, M. Veera, and Ali J. Chamkha. "Hall and ion slip effects on MHD rotating boundary layer flow of nanofluid past an infinite vertical plate embedded in a porous medium." Results in Physics 15 (2019): 102652. https://doi.org/10.1016/j.rinp.2019.102652

Krishna, M. Veera, and Ali J. Chamkha. "Hall effects on MHD squeezing flow of a water-based nanofluid between two parallel disks." Journal of Porous Media 22, no. 2 (2019): 209-223. https://doi.org/10.1615/JPorMedia.2018028721

Krishna, M. Veera, and Ali J. Chamkha. "Hall and ion slip effects on Unsteady MHD Convective Rotating flow of Nanofluids-Application in Biomedical Engineering." Journal of the Egyptian Mathematical Society 28, no. 1 (2020): 1. https://doi.org/10.1186/s42787-019-0065-2

Krishna, M. Veera, N. Ameer Ahamad, and Ali J. Chamkha. "Hall and ion slip effects on unsteady MHD free convective rotating flow through a saturated porous medium over an exponential accelerated plate." Alexandria Engineering Journal 59, no. 2 (2020): 565-577. https://doi.org/10.1016/j.aej.2020.01.043

Dogonchi, A. Sattar, M. S. Sadeghi, M. Ghodrat, Ali J. Chamkha, Yasser Elmasry, and Radi Alsulami. "Natural convection and entropy generation of a nanoliquid in a crown wavy cavity: effect of thermo-physical parameters and cavity shape." Case Studies in Thermal Engineering 27 (2021): 101208. https://doi.org/10.1016/j.csite.2021.101208

Dogonchi, A. Sattar, S. R. Mishra, Ali J. Chamkha, M. Ghodrat, Yasser Elmasry, and Hesham Alhumade. "Thermal and entropy analyses on buoyancy-driven flow of nanofluid inside a porous enclosure with two square cylinders: Finite element method." Case Studies in Thermal Engineering 27 (2021): 101298. https://doi.org/10.1016/j.csite.2021.101298

Hamrelaine, Salim, Fateh Mebarek-Oudina, and Mohamed Rafik Sari. "Analysis of MHD Jeffery Hamel flow with suction/injection by homotopy analysis method." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 58, no. 2 (2019): 173-186.

Khan, Ansab Azam, Khairy Zaimi, Suliadi Firdaus Sufahani, and Mohammad Ferdows. "MHD flow and heat transfer of double stratified micropolar fluid over a vertical permeable shrinking/stretching sheet with chemical reaction and heat source." Journal of Advanced Research in Applied Sciences and Engineering Technology 21, no. 1 (2020): 1-14. https://doi.org/10.37934/araset.21.1.114

Nadeem, S., and S. T. Hussain. "Heat transfer analysis of Williamson fluid over exponentially stretching surface." Applied Mathematics and Mechanics 35, no. 4 (2014): 489-502. https://doi.org/10.1007/s10483-014-1807-6

Kumar, K. Ganesh, N. G. Rudraswamy, B. J. Gireesha, and S. Manjunatha. "Non linear thermal radiation effect on Williamson fluid with particle-liquid suspension past a stretching surface." Results in Physics 7 (2017): 3196-3202. https://doi.org/10.1016/j.rinp.2017.08.027

Amanulla, C. H., N. Nagendra, and M. Suryanarayana Reddy. "Numerical simulation of slip influence on the flow of a MHD Williamson fluid over a vertical convective surface." Nonlinear Engineering 7, no. 4 (2018): 309-321. https://doi.org/10.1515/nleng-2017-0079

Lund, Liaquat Ali, Zurni Omar, and Ilyas Khan. "Analysis of dual solution for MHD flow of Williamson fluid with slippage." Heliyon 5, no. 3 (2019): e01345. https://doi.org/10.1016/j.heliyon.2019.e01345

Kho, Yap Bing, Abid Hussanan, Muhammad Khairul Anuar Mohamed, and Mohd Zuki Salleh. "Heat and mass transfer analysis on flow of Williamson nanofluid with thermal and velocity slips: Buongiorno model." Propulsion and Power Research 8, no. 3 (2019): 243-252. https://doi.org/10.1016/j.jppr.2019.01.011

Rasool, Ghulam, Ting Zhang, Ali J. Chamkha, Anum Shafiq, Iskander Tlili, and Gullnaz Shahzadi. "Entropy generation and consequences of binary chemical reaction on MHD Darcy-Forchheimer Williamson nanofluid flow over non-linearly stretching surface." Entropy 22, no. 1 (2019): 18. https://doi.org/10.3390/e22010018

Dawar, Abdullah, Zahir Shah, and Saeed Islam. "Mathematical modeling and study of MHD flow of Williamson nanofluid over a nonlinear stretching plate with activation energy." Heat Transfer 50, no. 3 (2021): 2558-2570. https://doi.org/10.1002/htj.21992

Qureshi, Muhammad Amer. "Numerical simulation of heat transfer flow subject to MHD of Williamson nanofluid with thermal radiation." Symmetry 13, no. 1 (2020): 10. https://doi.org/10.3390/sym13010010

Goud, B. Shankar. "Boundary layer and heat transfer Williamson fluid flow over a stretching sheet with Newtonian heating." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 10 (2021): 1275-1280.

Ahmed, Kamran, and Tanvir Akbar. "Numerical investigation of magnetohydrodynamics Williamson nanofluid flow over an exponentially stretching surface." Advances in Mechanical Engineering 13, no. 5 (2021): 16878140211019875. https://doi.org/10.1177/16878140211019875