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Radiation effects on the flow of Powell-Eyring fluid past an unsteady inclined stretching sheet with non-uniform heat source/sink.

Hayat T, Asad S, Mustafa M, Alsaedi A - PLoS ONE (2014)

Bottom Line: The convergence interval of the auxiliary parameter is obtained.Graphical results displaying the influence of interesting parameters are given.Numerical values of skin friction coefficient and local Nusselt number are computed and analyzed.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.

ABSTRACT
This study investigates the unsteady flow of Powell-Eyring fluid past an inclined stretching sheet. Unsteadiness in the flow is due to the time-dependence of the stretching velocity and wall temperature. Mathematical analysis is performed in the presence of thermal radiation and non-uniform heat source/sink. The relevant boundary layer equations are reduced into self-similar forms by suitable transformations. The analytic solutions are constructed in a series form by homotopy analysis method (HAM). The convergence interval of the auxiliary parameter is obtained. Graphical results displaying the influence of interesting parameters are given. Numerical values of skin friction coefficient and local Nusselt number are computed and analyzed.

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Influence of G on the velocity field.
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pone-0103214-g005: Influence of G on the velocity field.

Mentions: This section examines the effects of different physical parameters on the velocity and temperature fields. Hence Figs. (4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16) are plotted. Fig. 4 elucidates the behavior of inclination angle on the velocity and the boundary layer thickness. 0 shows the corresponding velocity profiles in the case of a vertical sheet for which the fluid experiences the maximum gravitational force. On the other hand when changes from 0 to i.e. when the sheet moves from vertical to horizontal direction, the strength of buoyancy force decreases and consequently the velocity and the boundary layer thickness decrease. Fig. 5 indicates that velocity field is an increasing function of . This is because a larger value of accompanies a stronger buoyancy force which leads to an increase in the component of velocity. The boundary layer thickness also increases with an increase in Variation in with an increase in can be seen from Fig. 6. It is noticed that decreases and boundary layer thins when is increased. Influence of unsteady parameter on the velocity field is displayed in Fig. 7. Increasing values of indicates smaller stretching rate in the x - direction which eventually decreases the boundary layer thickness. Interestingly the velocity increases by increasing at sufficiently large distance from the sheet. Variation in the x-component of velocity with an increase in the fluid parameter can be described from Fig. 8. In accordance with Mushtaq et al. [25], the velocity field increases with an increase in .


Radiation effects on the flow of Powell-Eyring fluid past an unsteady inclined stretching sheet with non-uniform heat source/sink.

Hayat T, Asad S, Mustafa M, Alsaedi A - PLoS ONE (2014)

Influence of G on the velocity field.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4114529&req=5

pone-0103214-g005: Influence of G on the velocity field.
Mentions: This section examines the effects of different physical parameters on the velocity and temperature fields. Hence Figs. (4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16) are plotted. Fig. 4 elucidates the behavior of inclination angle on the velocity and the boundary layer thickness. 0 shows the corresponding velocity profiles in the case of a vertical sheet for which the fluid experiences the maximum gravitational force. On the other hand when changes from 0 to i.e. when the sheet moves from vertical to horizontal direction, the strength of buoyancy force decreases and consequently the velocity and the boundary layer thickness decrease. Fig. 5 indicates that velocity field is an increasing function of . This is because a larger value of accompanies a stronger buoyancy force which leads to an increase in the component of velocity. The boundary layer thickness also increases with an increase in Variation in with an increase in can be seen from Fig. 6. It is noticed that decreases and boundary layer thins when is increased. Influence of unsteady parameter on the velocity field is displayed in Fig. 7. Increasing values of indicates smaller stretching rate in the x - direction which eventually decreases the boundary layer thickness. Interestingly the velocity increases by increasing at sufficiently large distance from the sheet. Variation in the x-component of velocity with an increase in the fluid parameter can be described from Fig. 8. In accordance with Mushtaq et al. [25], the velocity field increases with an increase in .

Bottom Line: The convergence interval of the auxiliary parameter is obtained.Graphical results displaying the influence of interesting parameters are given.Numerical values of skin friction coefficient and local Nusselt number are computed and analyzed.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.

ABSTRACT
This study investigates the unsteady flow of Powell-Eyring fluid past an inclined stretching sheet. Unsteadiness in the flow is due to the time-dependence of the stretching velocity and wall temperature. Mathematical analysis is performed in the presence of thermal radiation and non-uniform heat source/sink. The relevant boundary layer equations are reduced into self-similar forms by suitable transformations. The analytic solutions are constructed in a series form by homotopy analysis method (HAM). The convergence interval of the auxiliary parameter is obtained. Graphical results displaying the influence of interesting parameters are given. Numerical values of skin friction coefficient and local Nusselt number are computed and analyzed.

Show MeSH
Related in: MedlinePlus