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Math. Comput. Appl. 2016, 21(2), 24; doi:10.3390/mca21020024

A Note on Some Solutions of Copper-Water (Cu-Water) Nanofluids in a Channel with Slowly Expanding or Contracting Walls with Heat Transfer

School of Quantitative Sciences, Universiti Utara Malaysia, Sintok, Kedah 06010, Malaysia
These authors contributed equally to this work.
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Author to whom correspondence should be addressed.
Academic Editor: Mehmet Pakdemirli
Received: 28 March 2016 / Revised: 4 May 2016 / Accepted: 17 May 2016 / Published: 16 June 2016
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Abstract

A study has been carried out to examine the occurrence of multiple solutions for Copper-Water nanofluids flows in a porous channel with slowly expanding and contracting walls. The governing equations are first transformed to similarity equations by using similarity transformation. The resulting equations are then solved numerically by using the shooting method. The effects of wall expansion ratio and solid volume fraction on velocity and temperature profile have been studied. Numerical results are presented graphically for the variations of different physical parameters. The study reveals that triple solutions exist only for the case of suction. View Full-Text
Keywords: porous channel; triple solutions; expanding and contracting walls porous channel; triple solutions; expanding and contracting walls
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MDPI and ACS Style

Raza, J.; Rohni, A.M.; Omar, Z. A Note on Some Solutions of Copper-Water (Cu-Water) Nanofluids in a Channel with Slowly Expanding or Contracting Walls with Heat Transfer. Math. Comput. Appl. 2016, 21, 24.

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