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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
Dual solutions in MHD stagnation-point flow and heat transfer of Williamson nanofluid over a nonlinear shrinking sheet
TANG Shujiang,LI Mingjun
School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411105
*Correspondence author
#Submitted by
Subject:
Funding:
National Natural Science Foundation of China(No.11171281), Natural Science Foundation of Liaoning Province(No.201602673)
Opened online:26 December 2017
Accepted by:
none
Citation: TANG Shujiang,LI Mingjun.Dual solutions in MHD stagnation-point flow and heat transfer of Williamson nanofluid over a nonlinear shrinking sheet[OL]. [26 December 2017] http://en.paper.edu.cn/en_releasepaper/content/4742888
A MHD stagnation-point flow and heat transfer of Williamson nanofluid over a nonlinear shrinking sheet is investigated. The boundary-layer governing equations with a variable induced magnetic field are formulated and reduced to ordinary differential equations. The similar equations are solved numerically using Bvp4c with Matlab, and the dual solutions are found. Interestingly, there exists mc as a critical power-law index for the special dual solutions, in fact, there exists no critical value for the general Williamson nanofluid model. And on the two sides of the critical value, the dimensionless physical quantity will show different trending with the increase of the power low index.