Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 242, Issue -, Pages 528-540Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2014.05.126
Keywords
Two-layer flow; Third grade nano-fluid; Homotopy analysis method; BVPh 2.0
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Funding
- Deanship of Scientific Research (DSR), King Abdulaziz University (KAU) [37-130-35-HiCi]
- State Key Laboratory of Ocean Engineering [GKZD010063]
- National Natural Science Foundation of China [11272209, 51209136]
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The heat and mass transfer of two-layer flows of non-Newtonian (third-grade) fluid in a vertical channel is investigated in details, when one layer of water is nano-fluid and the other is clear, with the viscous dissipation. In each layer, the boundary-layer flow is governed by coupled nonlinear ordinary differential equations (ODEs). The systems of coupled nonlinear ODEs are solved analytically by means of a Mathematica package BVPh 2.0 based on the homotopy analysis method (HAM), an analytic approximation method for highly nonlinear problems. The influence of the physical parameters is studied in detailed. It is found that the layer of nano-fluid has many different properties from that of clear fluid. This paper also illustrates the validity and power of the HAM-based Mathematica package BVPh 2.0 for some complicated boundary-layer flows. (C) 2014 Elsevier Inc. All rights reserved.
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