Abstract.
Our attention here in this research is on scrutinizing the nonlinear convection characteristics in a flow induced by a slendering surface. Flow expression is developed through electrically conducting Williamson nanomaterial. Nonlinear forms of stretching and free stream velocities are imposed. Consideration of nonlinear thermal radiation, non-uniform heat generation/absorption, Joule and convective heating aspects describe the phenomenon of heat transfer. The zero-mass condition for concentration is also considered. The compatible transformations produce strong nonlinear differential systems. The problems are computed analytically utilizing the bvp4c procedure. Heat transfer rate and drag force are also explained for various physical variables. Our analysis reveals that the heat transfer rate augments via larger radiation parameter and Biot number. Moreover, larger Brownian motion and thermophoresis parameters have opposite characteristics on concentration field. For the verification of the present findings, the results of the presented analysis have been compared with the available works in particular situations and reasonable agreement is noted.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
B.C. Sakiadis, AIChE 7, 26 (1961)
L. Zheng, J. Niu, X. Zheng, L. Ma, Int. J. Heat Mass Transfer 55, 7577 (2012)
M. Khan, W.A. Khan, J. Braz. Soc. Mech. Sci. Eng. 38, 2359 (2016)
M. Waqas, T. Hayat, M. Farooq, S.A. Shehzad, A. Alsaedi, J. Mol. Liq. 220, 642 (2016)
M.I. Khan, M. Waqas, T. Hayat, A. Alsaedi, J. Colloid Interface Sci. 498, 85 (2017)
T. Hayat, M.I. Khan, M. Waqas, A. Alsaedi, T. Yasmeen, Chin. J. Chem. Eng. 25, 257 (2017)
K. Vajravelu, J.R. Cannon, J. Leto, R. Semmoum, S. Nathan, M. Draper, D. Hammock, J. Math. Anal. Appl. 277, 609 (2003)
R. Nandkeolyar, S.S. Motsa, P. Sibanda, J. Nanotechnol. Eng. Med. 4, 041002 (2013)
S. Shaw, G. Mahanta, P. Sibanda, Alex. Eng. J. 55, 1295 (2016)
S.A. Shehzad, F.M. Abbasi, T. Hayat, A. Alsaedi, J. Mol. Liq. 224, 274 (2016)
F.M. Abbasi, S.A. Shehzad, J. Mol. Liq. 220, 848 (2016)
T. Hayat, S. Qayyum, S.A. Shehzad, A. Alsaedi, J. Mol. Liq. 230, 641 (2017)
A. Sharma, V.V. Tyagi, C.R. Chen, D. Buddhi, Renew. Sustain. Energy Rev. 13, 318 (2009)
S.U.S. Choi, J.A. Eastman, Enhancing thermal conductivity of fluids with nanoparticles, in The Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, USA, FED 231/MD, 66 (ASME, 1995) pp. 99--105
H. Masuda, A. Ebata, K. Teramae, N. Hishinuma, Netsu Bussei 7, 227 (1993)
B. Jalilpour, S. Jafarmadar, D.D. Ganji, A.B. Shotorban, H. Taghavifar, J. Mol. Liq. 195, 194 (2014)
M. Farooq, M.I. Khan, M. Waqas, T. Hayat, A. Alsaedi, M.I. Khan, J. Mol. Liq. 221, 1097 (2016)
T. Hayat, M. Waqas, M.I. Khan, A. Alsaedi, Int. J. Heat Mass Transfer 102, 1123 (2016)
M.J. Babu, N. Sandeep, J. Mol. Liq. 222, 1003 (2016)
A. Alsaedi, M.I. Khan, M. Farooq, N. Gull, T. Hayat, Adv. Powder Tech. 28, 288 (2017)
A. Abdollahi, M.R. Salimpour, Eur. Phys. J. Plus 131, 414 (2016)
T. Hayat, M.I. Khan, M. Waqas, A. Alsaedi, J.Mol. Liq. 231, 126 (2017)
S.S. Giri, K. Das, P.K. Kundu, Eur. Phys. J. Plus 132, 101 (2017)
S. Farooq, T. Hayat, A. Alsaedi, B. Ahmad, Int. J. Heat Mass Transfer 112, 521 (2017)
W.A. Khan, M. Irfan, M. Khan, A.S. Alshomrani, A.K. Alzahrani, M.S. Alghamdi, J. Mol. Liq. 234, 201 (2017)
A. Pantokratoras, T. Fang, Phys. Scr. 87, 015703 (2012)
R. Cortell, J. King Saud Univ. Sci. 26, 161 (2014)
Masood Khan, W.A. Khan, A.S. Alshomrani, Int. J. Heat Mass Transfer 101, 570 (2016)
T. Hayat, S. Qayyum, A. Alsaedi, B. Ahmad, Int. J. Heat Mass Transfer 110, 506 (2017)
B. Mahanthesh, B.J. Gireesha, G.T. Thammanna, S.A. Shehzad, F.M. Abbasi, R.S.R. Gorla, Alex. Eng. J. (2017) DOI:10.1016/j.aej.2017.03.037
T. Hayat, M.I. Khan, M. Farooq, T. Yasmeen, A. Alsaedi, J. Mol. Liq. 224, 786 (2016)
T. Hayat, M. Tamoor, M.I. Khan, A. Alsaedi, Results Phys. 6, 1031 (2016)
M.I. Khan, M. Tamoor, T. Hayat, A. Alsaedi, Results Phys. 7, 1207 (2017)
T. Hayat, M.I. Khan, M. Waqas, A. Alsaedi, Results Phys. 7, 256 (2017)
T. Hayat, G. Bashir, M. Waqas, A. Alsaedi, J. Mol. Liq. 223, 836 (2016)
T. Hayat, M. Waqas, S.A. Shehzad, A. Alsaedi, J. Mol. Liq. 222, 181 (2016)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Waqas, M., Khan, M.I., Hayat, T. et al. Nonlinear thermal radiation in flow induced by a slendering surface accounting thermophoresis and Brownian diffusion. Eur. Phys. J. Plus 132, 280 (2017). https://doi.org/10.1140/epjp/i2017-11555-0
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2017-11555-0