Abstract
This paper examines the steady flow due to a rotating disk with variable thickness. Equations are modelled by considering the homogeneous–heterogeneous reactions and variable thermal conductivity. The modified Von Karman transformations are utilised to convert the governing partial differential equations into dimensionless nonlinear ordinary differential equations. Convergent series solutions are computed. The impact of relevant parameters on flow fields is computed and interpreted. It is predicted that an increase in disk thickness index decreases the axial velocity while increases the radial and tangential velocities. The Nusselt number enhances by increasing the thickness parameter of a disk.
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References
T V Karman, Z. Angew. Math. Mech. 1, 233 (1921)
K Stewartson, Proc. Camb. Phil. Soc. 49, 333 (1953)
S K Kumar, W I Tacher and L T Watson, Appl. Math. Model. 13, 494 (1989)
C Y Ming, L C Zheng and X X Zhang, Int. Commun. Heat Mass 38, 280 (2011)
M Turkyilmazoglu, Comput. Fluid 90, 51 (2014)
P V S Narayana, B Venkateswarlu and S Venkataramana, Heat Transf. Asian Res. 44, 21101 (2015)
S Xun, J Zhao, L Zheng, X Chen and X Zhang, Int. J. Heat Mass Transf. 103, 1214 (2016)
D Pal and S Chatterjee, Appl. Math. Comput. 219, 7556 (2013)
K Vajravelu, K V Prasad and C Ng, Nonlinear Anal. Real World Appl. 14, 455 (2013)
S A Shehzad, A Alsaedi, T Hayat and M S Alhuthali, PLoS One 8, e78240 (2013)
T Hayat, S A Shehzad and A Alsaedi, Appl. Math. Mech. 34, 823 (2013)
T Hayat, A Shafiq, A Alsaedi and S Asghar, AIP Adv. 5, 087108 (2015)
B Venkateswarlu and P V S Narayana, Front. Heat Mass Transf. 7, 16 (2016)
T Hayat, M I Khan, M Farooq, A Alsaedi, M Waqas and T Yasmeen, Int. J. Heat Mass Transf. 99, 702 (2016)
G Sarojamma, R V Lakshmi, P V S Narayana and K Vajravelu, J. Appl. Comput. Mech. 5, 441 (2019)
I Shufrin and M Eisenberger, Int. J. Solids Struct. 42, 1225 (2005)
T G Fang, J Zhang and Y F Zhong, Appl. Math. Comput. 218, 7241 (2012)
S V Subhashini, R Sumathi and I Pop, Int. Commun. Heat Mass 48, 61 (2013)
T Hayat, M Farooq, A Alsaedi and F AlSolamy, AIP Adv. 5, 087159 (2015)
T Hayat, G Bashir, M Waqas and A Alsaedi, J. Mol. Liq. 44, 844 (2016)
J H Merkin, Math. Comput. Model. 24, 125 (1996)
M A Chaudhary and J H Merkin, Fluid Dyn. Res. 16, 311 (1995)
W A Khan and I Pop, Commun. Nonlinear Sci. Numer. Simul. 15, 3435 (2010)
T Hayat, M Awais, S Ambreen and A A Hendi, Nonlinear Anal. Modell. Control 17, 47 (2012)
W A Khan and I Pop, ASME J. Heat Transf. 134, 1 (2012)
T Hayat, A Tanveer, F Alsaadi and N D Alotaibi, AIP Adv. 5, 067172 (2015)
T Hayat, M Imtiaz, A Alsaedi and S Almezal, J. Magn. Magn. Mater. 401, 296 (2016)
T Hayat, S Qayyum, M Imtiaz and A Alsaedi, PLoS One 11, e0148662 (2016)
T Hayat, K Muhammad, M I Khan and A Alsaedi, Pramana – J. Phys. 92: 57 (2019)
S J Liao, Beyond perturbation (Springer and Higher Education Press, Heidelberg, 2012)
S Abbasbandy, M Yurusoy and H Gulluce, Math. Comput. Appl. 19, 124 (2014)
M Turkyilmazoglu, Filomat 30, 1633 (2016)
Y Lin, L Zheng and G Chen, Powder Technol. 274, 332 (2016)
S Qayyum, M Imtiaz, A Alsaedi and T Hayat, Chin. J. Phys.56, 2404 (2018)
M Imtiaz, A Kiran, T Hayat and A Alsaedi, J. Braz. Soc. Mech. Sci. Eng. 41, 149 (2019)
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Imtiaz, M., Shahid, F., Hayat, T. et al. Consequences of chemical reaction in temperature-dependent thermal conductivity fluid flow by a rotating disk with variable thickness. Pramana - J Phys 93, 95 (2019). https://doi.org/10.1007/s12043-019-1848-6
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DOI: https://doi.org/10.1007/s12043-019-1848-6