A note on some solutions of copper-water (Cu-Water) nanofluids in a channel with slowly expanding or contracting walls with heat transfer

A study has been carried out to examine the occurrence of multiple solutions for Copper-Water nano fluids 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 equ...

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Bibliographic Details
Main Authors: Raza, Jawad, Mohd Rohni, Azizah, Omar, Zurni
Format: Article
Language:English
Published: Multidisciplinary Digital Publishing Institute 2016
Subjects:
Online Access:http://repo.uum.edu.my/27972/1/MCA%2021%202%202016%201%209.pdf
http://repo.uum.edu.my/27972/
http://doi.org/10.3390/mca21020024
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Summary:A study has been carried out to examine the occurrence of multiple solutions for Copper-Water nano fluids 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.