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Optimal and Numerical Solutions for an MHD Micropolar Nanofluid between Rotating Horizontal Parallel Plates.

Nadeem S, Masood S, Mehmood R, Sadiq MA - PLoS ONE (2015)

Bottom Line: The reduced equations are solved analytically with the help of optimal homotopy analysis method (OHAM).It is found that both the solutions are in excellent agreement.Local skin friction coefficient is found to be higher for the case of strong concentration i.e. n=0, as compared to the case of weak concentration n=0.50.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad, 44000, Pakistan.

ABSTRACT
The present analysis deals with flow and heat transfer aspects of a micropolar nanofluid between two horizontal parallel plates in a rotating system. The governing partial differential equations for momentum, energy, micro rotation and nano-particles concentration are presented. Similarity transformations are utilized to convert the system of partial differential equations into system of ordinary differential equations. The reduced equations are solved analytically with the help of optimal homotopy analysis method (OHAM). Analytical solutions for velocity, temperature, micro-rotation and concentration profiles are expressed graphically against various emerging physical parameters. Physical quantities of interest such as skin friction co-efficient, local heat and local mass fluxes are also computed both analytically and numerically through mid-point integration scheme. It is found that both the solutions are in excellent agreement. Local skin friction coefficient is found to be higher for the case of strong concentration i.e. n=0, as compared to the case of weak concentration n=0.50. Influence of strong and weak concentration on Nusselt and Sherwood number appear to be similar in a quantitative sense.

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Effect of Pr on ϕ(η).
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pone.0124016.g023: Effect of Pr on ϕ(η).

Mentions: The effect of physical parameters such as Brownian motion parameter Nb, thermophoresis parameter Nt, Prandtl number Pr, Reynolds number R and Schmidt number Sc on the concentration profile φ(η) is presented through Figs 21–25. Figs 21 and 22 indicate that Brownian motion parameter Nb increases while thermophoresis parameter Nt decreases the concentration profile φ(η) between the plates. From Figs 23 and 24 concentration profile φ(η) decreases with an increase in Prandtl number Pr while it increases with an increase in Reynolds number R. Finally Fig 25 shows that for large values of Schmidt number Sc, concentration profile φ(η) decreases between the parallel plates.


Optimal and Numerical Solutions for an MHD Micropolar Nanofluid between Rotating Horizontal Parallel Plates.

Nadeem S, Masood S, Mehmood R, Sadiq MA - PLoS ONE (2015)

Effect of Pr on ϕ(η).
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4457579&req=5

pone.0124016.g023: Effect of Pr on ϕ(η).
Mentions: The effect of physical parameters such as Brownian motion parameter Nb, thermophoresis parameter Nt, Prandtl number Pr, Reynolds number R and Schmidt number Sc on the concentration profile φ(η) is presented through Figs 21–25. Figs 21 and 22 indicate that Brownian motion parameter Nb increases while thermophoresis parameter Nt decreases the concentration profile φ(η) between the plates. From Figs 23 and 24 concentration profile φ(η) decreases with an increase in Prandtl number Pr while it increases with an increase in Reynolds number R. Finally Fig 25 shows that for large values of Schmidt number Sc, concentration profile φ(η) decreases between the parallel plates.

Bottom Line: The reduced equations are solved analytically with the help of optimal homotopy analysis method (OHAM).It is found that both the solutions are in excellent agreement.Local skin friction coefficient is found to be higher for the case of strong concentration i.e. n=0, as compared to the case of weak concentration n=0.50.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad, 44000, Pakistan.

ABSTRACT
The present analysis deals with flow and heat transfer aspects of a micropolar nanofluid between two horizontal parallel plates in a rotating system. The governing partial differential equations for momentum, energy, micro rotation and nano-particles concentration are presented. Similarity transformations are utilized to convert the system of partial differential equations into system of ordinary differential equations. The reduced equations are solved analytically with the help of optimal homotopy analysis method (OHAM). Analytical solutions for velocity, temperature, micro-rotation and concentration profiles are expressed graphically against various emerging physical parameters. Physical quantities of interest such as skin friction co-efficient, local heat and local mass fluxes are also computed both analytically and numerically through mid-point integration scheme. It is found that both the solutions are in excellent agreement. Local skin friction coefficient is found to be higher for the case of strong concentration i.e. n=0, as compared to the case of weak concentration n=0.50. Influence of strong and weak concentration on Nusselt and Sherwood number appear to be similar in a quantitative sense.

No MeSH data available.


Related in: MedlinePlus