Numerical simulation of melting heat transfer towards the stagnation point region over a permeable shrinking surface

Document Type : Research Note

Authors

1 College of Water Conservancy and Ecological Engineering, Nanchang Institute of Technology, Nanchang 330099, China

2 Department of Sciences and Humanities, National University of Computer and Emerging Sciences (FAST), A. K. Brohi Road H-11/4 Islamabad, Pakistan

3 Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

4 Faculty of Engineering and Technology, Future University in Egypt New Cairo 11835, Egypt

5 - Department of Mechanical Engineering, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi Addawaser 11991, Saudi Arabia - Department of Production Engineering and Mechanical Design, Faculty of Engineering, Mansoura University, P.O 35516, Mansoura, Egypt

Abstract

The aim of deploying hybrid nanofluids is to optimize the heat transfer features of the model under consideration. Hybrid nanofluids contain composite nanoparticles, which improve thermal conductivity. Here, Silver (Ag) and Graphene oxide (Go) are used as nanoparticles with kerosene oil as a base fluid. The impact of Ohmic heating, viscous dissipation, and thermal radiation are taken to model the problem of steady flow over a stretching/shrinking geometry. The governing equations are numerically solved by a built-in scheme, bvp4c in Matlab. Moreover, the existence of dual solutions is found for a given range of pertinent parameters. The impact of the melting heat transfer parameter is heeded on the coefficient of skin friction and Nusselt number for both hybrid nanofluid and nanoparticles. A comparison is established with the pre-existing results, which is in good agreement. It is noted that the values of the coefficient of skin friction for the stable branch decrease for a particular range of shrinking parameter; however, for the lower branch opposite trend is observed. The magnetic force decreases the flow field and energy distribution for the upper branch; however, enhances for lower branch.

Keywords

References

References:
1. Iijima, S. "Helical microtubules of graphitic carbon", Nature, 354(6348), pp. 56-58 (1991).
2. Huang, D., Wu, Z., and Sunden, B. "Effects of hybrid nano fluid mixture in plate heat exchangers", Exp. Therm. Fluid Sci., 72, pp. 190-196 (2016).
3. Liu, Y., Wang, Q., Wu, T., et al. "Fluid structure and transport properties of water inside carbon nanotubes", J. Chem. Phys., 123(23), 234701 (2005).
4. Madhesh, D. and Kalaiselvam, S. "Experimental analysis of hybrid nano fluid as a coolant", Procedia Eng., 97, pp. 1667-1675 (2014).
5. Toghraie, D., Chaharsoghi, V.A., and Afrand, M. "Measurement of thermal conductivity of ZnO-TiO2 /EG hybrid nano fluid", J. Therm. Anal. Calorim., 125(1), pp. 527-535 (2016).
6. Tlili, I., Bhatti, M.M., Hamad, S.M., et al. "Macroscopic modeling for convection of Hybrid nano fluid with magnetic effects", Phys. A: Stat. Mech. Appl., 534, 122136 (2019).
7. Yang, D., Yasir, M., and Hamid, A. "Thermal transport analysis in stagnationpoint flow of Casson nano fluid over a shrinking surface with viscous dissipation", Waves Random Complex Media, pp. 1-15 (2021). https://doi.org/10.1080/17455030.2021.1972183.
8. Tang, W., Zou, C., Liang, H., et al. "The comparison of interface properties on crude oil-water and rheological behavior of four polymeric nano fluids (nano-SiO2, nano-CaO, GO and CNT) in carbonates for enhanced oil recovery", J. Pet. Sci. Eng., 214, 110458 (2022).
9. Upreti, H., Pandey, A.K., and Kumar, M. "Assessment of entropy generation and heat transfer in threedimensional hybrid nano fluids flow due to convective surface and base  fluids", J. Porous Media, 24(3), pp. 35-50 (2021).
10. Hakeem, A.K., Indumathi, N., Ganga, B., et al. "Comparison of disparate solid volume fraction ratio of hybrid nano fluids flow over a permeable  at surface with aligned magnetic field and Marangoni convection", Sci. Iran., 27(6), pp. 3367-3380 (2020).
11. Upreti, H., Pandey, A.K., and Kumar, M. "Thermophoresis and suction/injection roles on free convective MHD  flow of Ag-kerosene oil nanofluid", J. Comput. Des. Eng., 7(3), pp. 386-396 (2020).
12. Nadeem, S., Amin, A., Abbas, N., et al. "Effects of heat and mass transfer on stagnation point flow of micropolar Maxwell 
uid over Riga plate", Sci. Iran., 28(6), pp. 3753-3766 (2021).
13. Yasir, M., Hafeez, A., and Khan, M. "Thermal conductivity performance in hybrid (SWCNTs-CuO/Ehylene glycol) nanofluid flow: Dual solutions", Ain Shams Eng. J., 13(5), 101703 (2022).
14. Hafeez, M.B., Khan, M.S., Qureshi, I.H., et al. "Particle rotation effects in Cosserat-Maxwell boundary layer flow with non-Fourier heat transfer using a new novel approach", Sci. Iran., 28(3), pp. 1223-1235 (2021).
15. Shahid, M.I., Ahmad, S., and Ashraf, M. "Simulation Analysis of Mass and Heat Transfer Attributes in Nanoparticles Flow subject to Darcy-Forchheimer Medium", Sci. Iran., 29(4), pp. 1828-1837 (2022).
16. Yasir, M., Ahmed, A., and Khan, M. "Carbon nanotubes based fluid flow past a moving thin needle examine through dual solutions: Stability analysis", J. Energy Storage, 48, 103913 (2022).
17. Roberts, L. "On the melting of a semi-infinite body of ice placed in a hot stream of air", J. Fluid Mech., 4(5), pp. 505-528 (1958).
18. Yacob, N.A., Ishak, A., and Pop, I. "Melting heat transfer in boundary layer stagnation-point  flow towards a stretching/shrinking sheet in a micropolar fluid", Comput. Fluids, 47(1), pp. 16-21 (2011).
19. Bachok, N., Ishak, A., and Pop, I. "Melting heat transfer in boundary layer stagnation-point flow towards a stretching/shrinking sheet", Phys. Lett. A, 374(40), pp. 4075-4079 (2010).
20. Hayat, T., Mustafa, M., Shehzad, S.A., et al. "Melting heat transfer in the stagnation-point flow of an Upper- Convected Maxwell (UCM) fluid past a stretching sheet", Int. J. Numer. Methods Fluids., 68(2), pp. 233-243 (2012).
21. Das, K. "Radiation and melting effects on MHD boundary layer flow over a moving surface", Ain Shams Eng. J., 5(4), pp. 1207-1214 (2014).
22. Singh, K., Kumar, M., and Pandey, A.K. "Melting and chemical reaction effects in stagnation point flow of micropolar fluid over a stretchable porous medium in the presence of nonuniform heat source/sink", J. Porous Media, 23(8), pp. 767-781 (2020).
23. Singh, K., Pandey, A.K., and Kumar, M. "Numerical solution of micropolar  fluid flow via stretchable surface with chemical reaction and melting heat transfer using Keller-Box method", Propuls. Power Res., 10(2), pp. 194-207 (2021).
24. Hayat, T. and Alsaedi, A. "Development of bioconvection flow of nanomaterial with melting effects", Chaos Solitons Fractals, 148, 111015 (2021).
25. Pop, I., Waini, I., and Ishak, A. "MHD stagnation point flow on a shrinking surface with hybrid nanoparticles and melting phenomenon effects", Int. J. Numer. Methods Heat Fluid Flow., 32(5), pp. 1728- 1741 (2021).
26. Singh, K., Pandey, A.K., and Kumar, M. "Melting heat transfer assessment on magnetic nano fluid flow past a porous stretching cylinder", J. Egypt. Math. Soc., 29(1), pp. 1-14 (2021).
27. Yasir, M. and Khan, M. "Comparative analysis for radiative flow of Cu-Ag/blood and Cu/blood nanofluid through porous medium", J. Pet. Sci. Eng., 215, 110650 (2022).
28. Lakshmi Devi, G., Niranjan, H., and Sivasankaran, S. "Effects of chemical reactions, radiation, and activation energy on MHD buoyancy induced nano fluid  flow past a vertical surface", Sci. Iran., 29(1), pp. 90-100 (2022).
29. Swalmeh, M.Z., Alkasasbeh, H.T., Hussanan, A., et al. "Numerical investigation of heat transfer enhancement with Ag-GO water and kerosene oil based micropolar nano fluid over a solid sphere", J. Adv. Res. Fluid Mech., 59(2), pp. 269-282 (2019).
30. Wang, C.Y. "Stagnation flow towards a shrinking sheet", Int. J. Non-Linear Mech., 43(5), pp. 377-382 (2008).
Scientia Iranica
Volume 30, Issue 3
Transactions on Mechanical Engineering (B)
May and June 2023
Pages 1039-1048

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History

  • Receive Date: 13 February 2022
  • Revise Date: 22 May 2022
  • Accept Date: 21 November 2022

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