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Effects of Convective Heat and Mass Transfer in Flow of Powell-Eyring Fluid Past an Exponentially Stretching Sheet.

Hayat T, Saeed Y, Alsaedi A, Asad S - PLoS ONE (2015)

Bottom Line: The governing partial differential equations corresponding to the momentum, energy and concentration are reduced to a set of non-linear ordinary differential equations.Physical interpretation is seen for the embedded parameters of interest.Skin friction coefficient, local Nusselt number and local Sherwood number are numerically computed and examined.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.

ABSTRACT
The aim here is to investigate the effects of convective heat and mass transfer in the flow of Eyring-Powell fluid past an inclined exponential stretching surface. Mathematical formulation and analysis have been performed in the presence of Soret, Dufour and thermal radiation effects. The governing partial differential equations corresponding to the momentum, energy and concentration are reduced to a set of non-linear ordinary differential equations. Resulting nonlinear system is computed for the series solutions. Interval of convergence is determined. Physical interpretation is seen for the embedded parameters of interest. Skin friction coefficient, local Nusselt number and local Sherwood number are numerically computed and examined.

No MeSH data available.


Related in: MedlinePlus

Influences of fluid parameters (λ1 and λ2) on θ(η).
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pone.0133831.g009: Influences of fluid parameters (λ1 and λ2) on θ(η).

Mentions: In order to get a better physical insight of the problem, the dimensionless velocity, temperature and concentration fields are shown graphically. Dimensionless velocity profile f′(η) is depicted in Figs 5–8 for various values of physical parameters. Influence of fluid parameter λ1 is shown in Fig 5. By increasing λ1 the viscosity decreases and hence velocity and momentum boundary layer thickness is increased. Fig 6 presents the effect of fluid parameter λ2. Increase in λ2 shows decrease in the velocity and momentum boundary layer thickness. The inclination angle α has decreasing impact on the velocity field (see Fig 7). In fact an increase in α reduces the buoyancy forces. Combined effects of thermal and solute buoyancy parameters are depicted in Fig 8. By increasing λ and δ the buoyancy forces increase which enhance the velocity field. Figs 9–15 illustrate the temperature field for different physical parameters involved in problem. Fig 9 displays the variation of temperature profile for various values of λ1 and λ2. Larger values of these parameters correspond to the decrease in temperature and thermal boundary layer thickness. Through simultaneous increase of λ and δ the buoyancy forces are increased. As a result the temperature field is decreased (see Fig 10). Fig 11 shows that a pronounced increase is observed in the temperature and corresponding boundary layer thickness when there is an increase in thermal Biot number Bi1. Larger values of radiation parameter R have the tendency to enhance the thermal boundary layersee Fig 12. Effect of Prandtl number Pr on the temperature field is plotted in Fig 13. Increase in Prandtl number greatly reduces the temperature and thermal boundary layer. Temperature profile for collective variation of Dufour and Soret numbers is shown in Fig 14. It is noticed that an increase in Du (decreasein Sr) serves strongly to increase temperature field in the regime. Figs 15–19 illustrate the behavior of concentration field corresponding to involved physical parameters. Effect of fluid parameters (λ1 and λ2) is to decrease concentration boundary layer see Fig 15. Increase of λ and δ, has tendency to decrease the concentration field and associated boundary layer (see Fig 16). Fig 17 indicates that increase of mass Biot number enhances the concentration field. The variation of Schmidt number Sc on the concentration field is displayed in Fig 18. Larger values of Schmidt number increase the viscosity and consequently the concentration field is reduced. Combined variation of Dufour and Soret numbers is displayed in Fig 19. Increasing Dufour number Du (decreasing Soret number Sr) decreases the influence of temperature gradient on the concentration and finally it reduces the concentration field.


Effects of Convective Heat and Mass Transfer in Flow of Powell-Eyring Fluid Past an Exponentially Stretching Sheet.

Hayat T, Saeed Y, Alsaedi A, Asad S - PLoS ONE (2015)

Influences of fluid parameters (λ1 and λ2) on θ(η).
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4556520&req=5

pone.0133831.g009: Influences of fluid parameters (λ1 and λ2) on θ(η).
Mentions: In order to get a better physical insight of the problem, the dimensionless velocity, temperature and concentration fields are shown graphically. Dimensionless velocity profile f′(η) is depicted in Figs 5–8 for various values of physical parameters. Influence of fluid parameter λ1 is shown in Fig 5. By increasing λ1 the viscosity decreases and hence velocity and momentum boundary layer thickness is increased. Fig 6 presents the effect of fluid parameter λ2. Increase in λ2 shows decrease in the velocity and momentum boundary layer thickness. The inclination angle α has decreasing impact on the velocity field (see Fig 7). In fact an increase in α reduces the buoyancy forces. Combined effects of thermal and solute buoyancy parameters are depicted in Fig 8. By increasing λ and δ the buoyancy forces increase which enhance the velocity field. Figs 9–15 illustrate the temperature field for different physical parameters involved in problem. Fig 9 displays the variation of temperature profile for various values of λ1 and λ2. Larger values of these parameters correspond to the decrease in temperature and thermal boundary layer thickness. Through simultaneous increase of λ and δ the buoyancy forces are increased. As a result the temperature field is decreased (see Fig 10). Fig 11 shows that a pronounced increase is observed in the temperature and corresponding boundary layer thickness when there is an increase in thermal Biot number Bi1. Larger values of radiation parameter R have the tendency to enhance the thermal boundary layersee Fig 12. Effect of Prandtl number Pr on the temperature field is plotted in Fig 13. Increase in Prandtl number greatly reduces the temperature and thermal boundary layer. Temperature profile for collective variation of Dufour and Soret numbers is shown in Fig 14. It is noticed that an increase in Du (decreasein Sr) serves strongly to increase temperature field in the regime. Figs 15–19 illustrate the behavior of concentration field corresponding to involved physical parameters. Effect of fluid parameters (λ1 and λ2) is to decrease concentration boundary layer see Fig 15. Increase of λ and δ, has tendency to decrease the concentration field and associated boundary layer (see Fig 16). Fig 17 indicates that increase of mass Biot number enhances the concentration field. The variation of Schmidt number Sc on the concentration field is displayed in Fig 18. Larger values of Schmidt number increase the viscosity and consequently the concentration field is reduced. Combined variation of Dufour and Soret numbers is displayed in Fig 19. Increasing Dufour number Du (decreasing Soret number Sr) decreases the influence of temperature gradient on the concentration and finally it reduces the concentration field.

Bottom Line: The governing partial differential equations corresponding to the momentum, energy and concentration are reduced to a set of non-linear ordinary differential equations.Physical interpretation is seen for the embedded parameters of interest.Skin friction coefficient, local Nusselt number and local Sherwood number are numerically computed and examined.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.

ABSTRACT
The aim here is to investigate the effects of convective heat and mass transfer in the flow of Eyring-Powell fluid past an inclined exponential stretching surface. Mathematical formulation and analysis have been performed in the presence of Soret, Dufour and thermal radiation effects. The governing partial differential equations corresponding to the momentum, energy and concentration are reduced to a set of non-linear ordinary differential equations. Resulting nonlinear system is computed for the series solutions. Interval of convergence is determined. Physical interpretation is seen for the embedded parameters of interest. Skin friction coefficient, local Nusselt number and local Sherwood number are numerically computed and examined.

No MeSH data available.


Related in: MedlinePlus