Abstract
Two-dimensional magneto-Sisko nanofluid flow bounded by nonlinearly stretching sheet is studied. Thermophoretic diffusion and Brownian motion effects are also scrutinised. Additionally, impacts of activation energy, chemical reaction and nonlinear convection are considered. The purpose of this study is to analyse entropy generation in the Sisko fluid model. Suitable transformations are used to reduce the governing equation of motion, concentration and temperature. Effects of some pertinent variables on skin friction coefficient, temperature, velocity, concentration and Nusselt number are graphically presented. Clearly, for larger Brownian and thermophoresis parameters, the temperature increases while concentration distribution decreases with Brownian parameter. Bejan number is maximum away from the sheet in the case of shear thickening fluids while it approaches zero for shear thinning fluids.
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References
A W Sisko, Ind. Eng. Chem. Res. 50, 1789 (1958)
A W Sisko, J. Colloid Sci. 15, 89 (1960)
T Hayat, S Qayyum, M Imtiaz and A Alsaedi, PLoS ONE 11(2), e0148662 (2016)
R Malik and M Khan, Result Phys. 8, 64 (2018)
M M Bhatti, A Zeeshan and R Ellahi, Comput. Biol. Med.78, 29 (2016)
M I Khan, T Hayat, M I Khan and A Alsaedi, Int. Commun. Heat Mass Transf. 91, 216 (2018)
M Turkyilmazoglu, Int. J. Heat Mass Transf. 8, 150 (2014)
M Khan, S Munawar and S Abbasbandy, Int. J. Heat Mass Transf. 53, 1290 (2010)
A Tanveer, T Hayat, A Alsaedi and B Ahmad, J. Mol. Liq. 236, 290 (2017)
M I Khan, M Waqas, T Hayat and A Alsaedi, J. Colloid Interface Sci. 498, 85 (2017)
K Ayub, M Y Khan, Q M Hassan, M Ashraf and M Shakeel, Pramana – J. Phys. 91: 83 (2018)
S Choi, ASME Publ.-Fed 231, 99 (1995)
M Mustafa, T Hayat, I Pop, S Asghar and S Obaidat, Int. J. Heat Mass Transf. 54, 5588 (2011)
L Zheng, C Zhang, X Zhang and J Zhang, J. Frank. Inst. 350, 990 (2013)
M Mustafa, J A Khan, T Hayat and A Alsaedi, J. Mol. Liq. 211, 119 (2015)
Y Lin, L Zheng and X Zhang, Int. J. Heat Mass Transf. 77, 708 (2014)
B Mahanthesh, B J Gireesha, R S R Gorla, F M Abbasi and S A Shehzad, J. Magn. Magn. Mater. 417, 189 (2016)
C Yin, L Zheng, C Zhang and X Zhang, Propuls. Power Res. 6, 25 (2017)
D Kumar, J Singh and D Baleanu, Rom. Rep. Phys. 69, 103 (2017)
A K Pandey and M Kumar, Alex. Eng. J. 56, 671 (2017)
A Kumar, R Singh, G Seth and R Tripathi, Int. J. Heat Technol. 36, 1430 (2018)
A Kumar, R Singh, G Seth and R Tripathi, J. Nanofluids 7, 1 (2018)
A R Bestman, Int. J. Eng. Res. 14, 389 (1990), http://dx.doi.org/10.1002/er.4440140403
O D Makinde, P O Olanrewaju and W M Charles, Afr. Mat. 22, 65 (2011)
K A Malique, J. Thermodyn.2013, 692516 (2013)
Z Abbas, M Sheikh and S S Motsa, Energy 95, 12 (2016)
Z Shafique, M Mustafa and A Mushtaq, Result Phys. 6, 627 (2016)
F G Awad, S Motsa and M Khumalo, PLoS ONE 9(9), e107622 (2014)
A Bejan, J. Appl. Phys. 79, 1191 (1996)
T Hayat, S Qayyum, M I Khan and A Alsaedi, Phys. Fluid 30, 017101 (2018)
R Ellahi, M Hassan and A Zeeshan, Int. J. Heat Mass Transf. 81, 449 (2015)
A S Butt and A Ali, J. Brazil. Soc. Mech. Sci. Eng. 37(1), 211 (2015)
J Guo, M Xu, J Cai and X Huai, Energy 36, 5416 (2011)
A Noghrehabadi, M R Saffarian, R Pourrajab and M Ghalambaz, J. Mech. Sci. Technol. 27, 927 (2013)
A Zaib, S Abdelman, A J Chamkha and M M Rashidi, Heat Transf. Res.49(12), 1131 (2018), https://doi.org/10.1615/HeatTransRes.201819743
K Ghasemi and M Siavashi, J. Magn. Magn. Mater. 442, 474 (2017)
O D Makinde and A S Eegunjobi, J. Porous Media 19, 799 (2016)
M I Khan, A Kumar and T Hayat, J. Mol. Liq. 278, 677 (2019)
S J Liao, Homotopy analysis method in nonlinear differential equations (Springer, Heidelberg, 2012)
M I Khan, S Qayyum, T Hayat and A Alsaedi, Chin. J. Phys. 56, 1525 (2018)
T Hayat, M I Khan, M Farooq, T Yasmeen and A Alsaedi, J. Mol. Liq. 220, 49 (2016)
M Sheikholeslami, M Hatami and D D Ganji, J. Mol. Liq. 194, 30 (2014)
T Hayat, M I Khan, M Farooq, A Alsaedi, M Waqas and T Yasmeen, Int. J. Heat Mass Transf. 99, 702 (2016)
S Qayyum, M I Khan, T Hayat and A Alsaedi, Physica B 534, 173 (2018)
J Sui, L Zheng, X Zhang and G Chen, Int. J. Heat Mass Transf. 85, 1023 (2015)
T Hayat, M I Khan, S Qayyum and A Alsaedi, Colloids Surf. A: Phys. Eng. Asp. 539, 335 (2018)
T Hayat, M I Khan, S Qayyum and A Alsaedi, Chin. J. Phys. 55, 2501 (2017)
A Kumar, R Tripathi, R Singh and G S Seth, Indian J. Phys. (2019), https://doi.org/10.1007/s12648-019-01460-4, pp. 1–14
T Hayat, S Qayyum, M I Khan and A Alsaedi, Int. J. Hydrogen Energy 42, 29107 (2017)
T Hayat, M Waqas, S A Shehzad and A Alsaedi, Pramana – J. Phys. 86, 3 (2016)
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Hayat, T., Masood, F., Qayyum, S. et al. Entropy generation minimisation: Nonlinear mixed convective flow of Sisko nanofluid. Pramana - J Phys 93, 96 (2019). https://doi.org/10.1007/s12043-019-1838-8
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DOI: https://doi.org/10.1007/s12043-019-1838-8
Keywords
- Sisko nanofluid
- magnetohydrodynamics
- nonlinear mixed convection
- entropy generation
- activation energy
- chemical reaction