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Convective Flow of Sisko Fluid over a Bidirectional Stretching Surface.

Munir A, Shahzad A, Khan M - PLoS ONE (2015)

Bottom Line: The numerical results for the velocity and temperature fields are graphically presented and effects of the relevant parameters are discussed in detail.The numerical results are also verified with the results obtained analytically by the homotopy analysis method (HAM).Additionally, the results are validated with previously published pertinent literature as a limiting case of the problem.

View Article: PubMed Central - PubMed

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

ABSTRACT
The present investigation focuses the flow and heat transfer characteristics of the steady three-dimensional Sisko fluid driven by a bidirectional stretching sheet. The modeled partial differential equations are reduced to coupled ordinary differential equations by a suitable transformation. The resulting equations are solved numerically by the shooting method using adaptive Runge Kutta algorithm in combination with Newton's method in the domain [0,∞). The numerical results for the velocity and temperature fields are graphically presented and effects of the relevant parameters are discussed in detail. Moreover, the skin-friction coefficient and local Nusselt number for different values of the power-law index and stretching ratio parameter are presented through tabulated data. The numerical results are also verified with the results obtained analytically by the homotopy analysis method (HAM). Additionally, the results are validated with previously published pertinent literature as a limiting case of the problem.

No MeSH data available.


Related in: MedlinePlus

Profiles of the entrainment velocity for different values of the power-law index n when A = 1.5 is fixed.
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pone.0130342.g007: Profiles of the entrainment velocity for different values of the power-law index n when A = 1.5 is fixed.

Mentions: Fig 7 graphs the relation between stretching ratio parameter α and total entrainment rate, which is proportional to f(∞) + g(∞). This figure depicts that the quantity f(∞) + g(∞) tends to increase monotonically, when α is varied from 0 to 1, both for the shear thinning and shear thickening Sisko fluids. The ambient flow rate entrained perpendicular to the stretching sheet is about 43% for shear thinning Sisko fluids, with axis symmetric stretching (α = 1) than with unidirectional stretching (α = 0). This quantity, however, is 63% higher for shear thickening Sisko fluids.


Convective Flow of Sisko Fluid over a Bidirectional Stretching Surface.

Munir A, Shahzad A, Khan M - PLoS ONE (2015)

Profiles of the entrainment velocity for different values of the power-law index n when A = 1.5 is fixed.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4481413&req=5

pone.0130342.g007: Profiles of the entrainment velocity for different values of the power-law index n when A = 1.5 is fixed.
Mentions: Fig 7 graphs the relation between stretching ratio parameter α and total entrainment rate, which is proportional to f(∞) + g(∞). This figure depicts that the quantity f(∞) + g(∞) tends to increase monotonically, when α is varied from 0 to 1, both for the shear thinning and shear thickening Sisko fluids. The ambient flow rate entrained perpendicular to the stretching sheet is about 43% for shear thinning Sisko fluids, with axis symmetric stretching (α = 1) than with unidirectional stretching (α = 0). This quantity, however, is 63% higher for shear thickening Sisko fluids.

Bottom Line: The numerical results for the velocity and temperature fields are graphically presented and effects of the relevant parameters are discussed in detail.The numerical results are also verified with the results obtained analytically by the homotopy analysis method (HAM).Additionally, the results are validated with previously published pertinent literature as a limiting case of the problem.

View Article: PubMed Central - PubMed

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

ABSTRACT
The present investigation focuses the flow and heat transfer characteristics of the steady three-dimensional Sisko fluid driven by a bidirectional stretching sheet. The modeled partial differential equations are reduced to coupled ordinary differential equations by a suitable transformation. The resulting equations are solved numerically by the shooting method using adaptive Runge Kutta algorithm in combination with Newton's method in the domain [0,∞). The numerical results for the velocity and temperature fields are graphically presented and effects of the relevant parameters are discussed in detail. Moreover, the skin-friction coefficient and local Nusselt number for different values of the power-law index and stretching ratio parameter are presented through tabulated data. The numerical results are also verified with the results obtained analytically by the homotopy analysis method (HAM). Additionally, the results are validated with previously published pertinent literature as a limiting case of the problem.

No MeSH data available.


Related in: MedlinePlus