Abstract.
Comparative flow features of two different nanofluids containing TiO2 nanoparticles along a rotating disk near a stagnation point are theoretically addressed here. The primary fluids are presumed as ethylene glycol and water. The influences of non-uniform heat absorption/generation with homogeneous and heterogeneous chemical reactions have been integrated to modify the energy and concentration profiles. By virtue of similarity conversions, the leading partial differential system has been standardized into non-linear ODEs and then cracked analytically by NDM and numerically by RK-4 based shooting practice. Impressions of emerging parameters on the flow regime have been reported by tables and graphs coupled with required discussions. One of our results predicts that, with the augmentation of TiO2 nanoparticles concentration, the rate of heat transport for ethylene glycol nanofluid becomes 30-36% higher compared to that of a water nanofluid.
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References
T.V. Kármán, Z. Angew. Math. Mech. 1, 233 (1921)
W.G. Cochran, Proc. Camb. Philos. Soc. 30, 365 (1934)
D.M. Hannah, Forced flow against a rotating disk, in British Aeronautical Research Council Reports and Memoranda (1952) No. 2772
M.E. Erdogan, Int. J. Non-Linear Mech. 32, 285 (1997)
S.U.S. Choi, ASME Int. Mech. Eng. Cong. Exp. 66, 99 (1995)
I. Mustafa, T. Javed, A. Majeed, Can. J. Phys. 93, 1365 (2015)
M.M. Rashidi, S. Abelman, N. Freidooni Mehr, Int. J. Heat Mass Transfer 62, 515 (2013)
MD. Tausif Sk., K. Das, P.K. Kundu, Eur. Phys. J. Plus 131, 314 (2016)
K. Das, T. Chakraborty, P.K. Kundu, J. Mech. Eng. Sci. C 230, 2473 (2016)
I. Mustafa, T. Javed, A. Ghaffari, J. Mol. Liq. 219, 526 (2016)
M. Turkyilmazoglu, Int. J. Therm. Sci. 51, 195 (2012)
S. Xun, J. Zhao, L. Zheng, X. Chen, X. Zhang, Int. J. Heat Mass Transfer 103, 1214 (2016)
T. Hayat, T. Muhammad, S.A. Shehzad, A. Alsaedi, Comput. Methods Appl. Mech. Eng. 315, 467 (2017)
M. Mustafa, Int. J. Heat Mass Transfer 108, 1910 (2017)
K. Mehmood, M. Sajid, N. Ali, T. Javed, Eng. Sci. Tech. Int. J. 19, 1949 (2016)
B.J. Gireesha, B. Mahanthesh, M.M. Rashidi, Int. J. Indust. Math. 7, 247 (2015)
F. Mabood, S.M. Ibrahim, M.M. Rashidi, M.S. Shadloo, G. Lorenzini, Int. J. Heat Mass Transfer 93, 674 (2016)
C.Y.P.D. Phani Rajanish, B. Nageswara Rao, J. Heat Transf. 139, 014501 (2017)
K. Mehmood, S. Hussain, M. Sagheer, AIP Adv. 6, 065126 (2016)
N. Sandeep, C. Sulochana, Eng. Sci. Tech. Int. J. 18, 738 (2015)
P.S. Reddy, P. Sreedevi, Ali. J. Chamkha, Powder Tech. 307, 46 (2017)
M.A. Chaudhary, J.H. Merkin, Fluid Dyn. Res. 16, 311 (1995)
J.H. Merkin, Math. Comput. Mod. 24, 125 (1996)
P.K. Kameswaran, S. Shaw, P. Sibanda, P.V.S.N. Murthy, Int. J. Heat Mass Transfer 57, 465 (2013)
T. Hayat, M. Farooq, A. Alsaedi, AIP Adv. 5, 027130 (2015)
R. Nandkeolyar, S.S. Motsa, P. Sibanda, J. Nanotech. Eng. Med. 4, 041002 (2013)
S. Mansur, A. Ishak, I. Pop, J. Appl. Fluid Mech. 9, 1073 (2016)
T. Hayat, M. Imtiaz, A. Alsaedi, J. Magn. & Magn. Mater. 395, 294 (2015)
T. Hayat, M. Imtiaz, A. Alsaedi, F. Alzahrani, J. Mol. Liq. 216, 845 (2016)
S. Liao, Commun. Nonlinear Sci. Numer. Simul. 15, 2003 (2010)
T. Chakraborty, K. Das, P.K. Kundu, J. Mol. Liq. 229, 443 (2017)
J.H. He, Phys. Lett. A 350, 87 (2006)
M. Sheikholeslami, D.D. Ganji, H.R. Ashorynejad, Powder Tech. 239, 259 (2013)
N. Acharya, K. Das, P.K. Kundu, Eur. Phys. J. Plus 131, 303 (2016)
Z.H. Khan, W.A. Khan, NUST J. Eng. Sci. 1, 127 (2008)
H.C. Brinkman, J. Chem. Phys. 20, 571 (1952)
J.C. Maxwell Garnett, Philos. Trans. R. Soc. London Ser. A 203, 385 (1904)
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Das, K., Chakraborty, T. & Kumar Kundu, P. Analytical exploration of a TiO2 nanofluid along a rotating disk with homogeneous-heterogeneous chemical reactions and non-uniform heat source/sink. Eur. Phys. J. Plus 132, 555 (2017). https://doi.org/10.1140/epjp/i2017-11818-8
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DOI: https://doi.org/10.1140/epjp/i2017-11818-8