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Heat Transfer Research
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ISSN Druckformat: 1064-2285
ISSN Online: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2017016413
pages 1531-1544

FRACTIONAL BOUNDARY-LAYER FLOW AND HEAT TRANSFER OF A NANOFLUID OVER AN UNSTEADY MOVING PLATE

Zhi Cao
School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China
Jinhu Zhao
School of Mathematics and Statistics, Fuyang Normal College, Fuyang 236037, Anhui, China
Liancun Zheng
School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China

ABSTRAKT

This paper studies the fractional unsteady boundary layer and heat transfer of a two-dimensional nanofluid flow over a moving plate. Time-dependent fractional derivatives are considered in the constitutive relation for the nanofluid. Different nanoparticles and volume fractions are used in the viscoelastic-fluid-based fluid. Finite difference method is employed to solve the fractional boundary governing equations. The influences of involved parameters, namely fractional parameter, relaxation time, unsteadiness parameter, and the volume fraction of nanoparticles, on the velocity and temperature characteristics are discussed in detail. The results show that the relaxation time can adequately describe the long-term memory of flow and heat transfer, as well as the time-dependent fractional parameters. These parameters have a tendency to slow down the motion and the heat transfer of the nanofluid in the velocity and thermal boundary layer.


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