2016
DOI: 10.3390/mca21020024
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A Note on Some Solutions of Copper-Water (Cu-Water) Nanofluids in a Channel with Slowly Expanding or Contracting Walls with Heat Transfer

Abstract: 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 pre… Show more

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Cited by 15 publications
(15 citation statements)
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“…Rahman et al [36,37] investigated Buongiorno's model on exponentially shrinking surfaces and found dual solutions. Some other interesting studies are given in [38][39][40][41][42][43][44]. In this study, we extend the work of Rahman et al [36,37] to a permeable shrinking surface embedded in an Extended-Darcy-Forchheimer porous medium in the presence of viscous dissipation and velocity, and thermal and concentration slip effects over a shrinking surface, where the occurrence of dual solutions is possible.…”
Section: Introductionmentioning
confidence: 65%
See 2 more Smart Citations
“…Rahman et al [36,37] investigated Buongiorno's model on exponentially shrinking surfaces and found dual solutions. Some other interesting studies are given in [38][39][40][41][42][43][44]. In this study, we extend the work of Rahman et al [36,37] to a permeable shrinking surface embedded in an Extended-Darcy-Forchheimer porous medium in the presence of viscous dissipation and velocity, and thermal and concentration slip effects over a shrinking surface, where the occurrence of dual solutions is possible.…”
Section: Introductionmentioning
confidence: 65%
“…We considered the steady incompressible two-dimensional flow of a Casson electrically conductive nanofluid over an exponentially shrinking surface in Extended Darcy Forchheimer porous medium along with the effects of viscous dissipations and slip conditions, as shown in Figure 1. According to Nakamura and Sawada [39], the rheological equation of the state for isotropic and incompressible flow of a Casson fluid are:…”
Section: Mathematical Description Of the Problemmentioning
confidence: 99%
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“…Xinhui et al [12] and [13] analyzed the flow of non-newtonian fluid in a porous channel with expanding or contracting walls. Recently, Raza et al [14] investigated the multiple solutions of Copperwater nanofluids in a porous channel with expanding or contracting walls. Shooting method was employed in order to investigate the different branches of the solution.…”
Section: Introductionmentioning
confidence: 99%
“…In addition, it was shown that the heat transfer rate is also affected by spin parameter. Raza et al [17] investigated the different branches of the solution of copper-water nanofluid in a channel with expanding or contracting walls. Domairry et al [18] examined binary vertical plates, infinite parallel, natural convection of a non-Newtonian copper-water nanofluid.…”
Section: Introductionmentioning
confidence: 99%