Abstract
This study reports the chemically reacting flow of carbon nanotubes (CNTs) over a stretchable curved sheet. The flow is initialised due to a stretched surface. A heat source is present. Water is considered as the base liquid. The vital interest of this work is that heat phenomenon is studied via melting heat transfer. Xue relation of nanoliquid is implemented to explain the properties of both single- and multiwall CNTs. Mathematical systems (partial differential equations) for the flow field are obtained. Appropriate transformations are utilised in order to transform partial differential systems into nonlinear ordinary differential systems. Further, these systems are solved numerically. Variations in flow, temperature, concentration, skin friction coefficient and Nusselt number via the involved influential variables are illustrated graphically.
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References
S U S Choi, Enhancing thermal conductivity of fluids with nanoparticles, in Development and application of non-Newtonian flows edited by D A Siginer and H P Wang (ASME, New York, 1995), FED-Vol. 231\(/\)MD 66, pp. 99–105
M M Elias, M Miqdad, I M Mahbubul, R Saidur, M Kamalisarvestani, M R Sohel, A Hepbasli, N A Rahim and M A Amalina, Int. Commun. Heat Mass Transfer 44, 93 (2013)
M F L D Volder, S H Tawfick, R H Baughman and A J Hart, Science 339, 535 (2013)
T Hayat, K Muhammad, M Farooq and A Alsaedi, PLOS One 11, 0152923 (2016)
M Turkyilmazoglu, Eur. J. Mech. B \(/\) Fluids 53, 272 (2015)
S Qayyum, T Hayat, A Alsaedi and B Ahmad, Int. J. Mech. Sci. 134, 306 (2017)
T Hayat, M I Khan, M Waqas, A Alsaedi and M Farooq, Comput. Method Appl. Mech. Eng. 315, 1011 (2017)
M Shiekholeslami and R Ellahi, Int. J. Heat Mass Transfer 89, 799 (2015)
T Hayat, M I Khan, M Farooq, A Alsaedi and T Yasmeen, Int. J. Heat Mass Transfer 106, 810 (2017)
S Qayyum, M I Khan, T Hayat and A Alsaedi, Results Phys. 7, 1907 (2017)
S Soltani, A Kasaeian, H Sarrafha and D Wen, Sol. Energy 155, 1033 (2017)
T Hayat, M I Khan, S Qayyum and A Alsaedi, Colloid. Surf. A Physicochem. Eng. Aspect. 539, 335 (2018)
L J Crane, Z. Angew. Math. Phys. 21, 645 (1970)
T Hayat, M I Khan, M Farooq, A Alsaedi, M Waqas and T Yasmeen, Int. J. Heat Mass Transfer 99, 702 (2016)
M Shiekholeslami, R Ellahi, H R Ashorynejad, G Domairry and T Hayat, J. Comput. Theor. Nanosci. 11, 486 (2014)
T Hayat, K Muhammad, M Farooq and A Alsaedi, J. Mol. Liq. 220, 216 (2016)
M I Khan, M Waqas, T Hayat and A Alsaedi, J. Colloid Interface Sci. 498, 85 (2017)
M Sajid, N Ali, T Javed and Z Abbas, Chin. Phys. Lett. 27, 024703 (2010)
T Hayat, T Nasir, M I Khan and A Alsaedi, Results Phys. 8, 1017 (2018)
M Imtiaz, T Hayat and A Alsaedi, Powder Technol. 310, 154 (2017)
M Naveed, Z Abbas and M Sajid, Eng. Sci. Technol. Int. J. 19, 841 (2016)
M I Khan, T Hayat, M I Khan and A Alsaedi, Int. Commun. Heat Mass Transfer 91, 216 (2018)
N F Okechi, M Jalila and S Asghar, Results Phys. 7, 2851 (2017)
J H Merkin, Math. Comput. Model. 24, 125 (1996)
M I Khan, T Hayat and A Alsaedi, Results Phys. 7, 2644 (2017)
T Hayat, M I Khan, M Farooq, T Yasmeen and A Alsaedi, J. Mol. Liq. 220, 49 (2016)
S Qayyum, T Hayat and A Alsaedi, Results Phys. 7, 2752 (2017)
M I Khan, M I Khan, M Waqas, T Hayat and A Alsaedi, Int. Commun. Heat Mass Transfer 86, 231 (2017)
M I Khan, T Yasmeen, M I Khau, M Farooq and M Wakeel, Renew. Sust. Energ. Rev. 66, 702 (2016)
N B Khan, Z Ibrahim, M I Khan, T Hayat and M F Javed, Int. J. Heat Mass Transfer 121, 309 (2018)
T Hayat, S Qayyum, M I Khan and A Alsaedi, Chin. J. Phys. 55, 2501 (2017)
M Turkyilmazoglu, Int. J. Heat Mass Transfer 126, 974 (2018)
T Hayat, M I Khan, S Qayyum, A Alsaedi and M I Khan, Phys. Lett. A 382, 749 (2018)
M Turkyilmazoglu, Phys. Fluids 29, 013302 (2017)
M I Khan, T Hayat, M Waqas, M I Khan and A Alsaedi, J. Mol. Liq. 256, 108 (2018)
M Turkyilmazoglu, Energy Convers. Manag. 114, 1 (2016)
T Hayat, M I Khan, M Waqas and A Alsaedi, Results Phys. 7, 2711 (2017)
M Turkyilmazoglu, Eur. J. Mech. B \(/\) Fluids 65, 184 (2017)
M I Khan, M Waqas, T Hayat, A Alsaedi and M I Khan, Eur. Phys. J. Plus 132, 489 (2017)
W A Khan, A S Alshomrani, A K Alzahrani, M Khan and M Irfan, Pramana – J. Phys. 91: 63 (2018)
M I Khan, S Sumaira, T Hayat, M Waqas, M I Khan and A Alsaedi, J. Mol. Liq. 259, 274 (2018)
E Azhar, Z Iqbal, S Ijaz and E N Maraj, Pramana – J. Phys. 91: 61 (2018)
T Hayat, M W A Khan, A Alsaedi, M Ayub and M I Khan, Results Phys. 7, 2470 (2017)
M F Javed, M I Khan, N B Khan, R Muhammad, M U Rehman, S W Khan and T A Khan, Results Phys. 9, 1250 (2018)
M Kumar, G J Reddy and N Dalir, Pramana – J. Phys. 91: 60 (2018)
M I Khan, T Hayat and A Alsaedi, Phys. Fluids 30, 023601 (2018)
S Iram, M Nawaz and A Ali, Pramana – J. Phys. 91: 47 (2018)
M I Khan, T Hayat, M I Khan and A Alsaedi, Int. J. Heat Mass Transfer 113, 310 (2017)
Q Xue, Physica B 368, 302 (2005)
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Hayat, T., Muhammad, K., Khan, M.I. et al. Theoretical investigation of chemically reactive flow of water-based carbon nanotubes (single-walled and multiple walled) with melting heat transfer. Pramana - J Phys 92, 57 (2019). https://doi.org/10.1007/s12043-019-1722-6
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DOI: https://doi.org/10.1007/s12043-019-1722-6
Keywords
- Stretchable curved surface
- melting heat transfer
- single wall and multiwall carbon nanotubes
- chemical reaction
- numerical solution