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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 N1 on f′(η).
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pone.0124016.g002: Effect of N1 on f′(η).

Mentions: The aim here is to discuss the behavior of velocity, temperature, micro rotation and concentration profiles against emerging physical parameters in our flow problem. Figs 2–25 are plotted for this purpose. Figs 2–7 are plotted to determine the influence of coupling parameter N1, spin gradient viscosity parameter N2, rotation parameter Kr, Hartman number M, porosity parameter λ and Reynolds number R on velocity profile f′(η). From Figs 2 and 3 we observe that the influence of coupling parameter N1 and spin gradient viscosity parameter N2 on the velocity profile f′(η) is similar, i.e. it initially decreases near the lower stretching plate and from the center of the plates towards the upper plate the behavior is reversed.


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 N1 on f′(η).
© Copyright Policy
Related In: Results  -  Collection

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

pone.0124016.g002: Effect of N1 on f′(η).
Mentions: The aim here is to discuss the behavior of velocity, temperature, micro rotation and concentration profiles against emerging physical parameters in our flow problem. Figs 2–25 are plotted for this purpose. Figs 2–7 are plotted to determine the influence of coupling parameter N1, spin gradient viscosity parameter N2, rotation parameter Kr, Hartman number M, porosity parameter λ and Reynolds number R on velocity profile f′(η). From Figs 2 and 3 we observe that the influence of coupling parameter N1 and spin gradient viscosity parameter N2 on the velocity profile f′(η) is similar, i.e. it initially decreases near the lower stretching plate and from the center of the plates towards the upper plate the behavior is reversed.

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