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Non-alignment stagnation-point flow of a nanofluid past a permeable stretching/shrinking sheet: Buongiorno's model.

Hamid RA, Nazar R, Pop I - Sci Rep (2015)

Bottom Line: The main purpose of the present paper is to examine whether the non-alignment function has the effect on the problem considered when the fluid suction and injection are imposed.The numerical results are shown in the tables and the figures.It is worth mentioning that dual solutions are found to exist for the shrinking sheet.

View Article: PubMed Central - PubMed

Affiliation: Institute of Engineering Mathematics, Universiti Malaysia Perlis, Perlis, Malaysia.

ABSTRACT
The paper deals with a stagnation-point boundary layer flow towards a permeable stretching/shrinking sheet in a nanofluid where the flow and the sheet are not aligned. We used the Buongiorno model that is based on the Brownian diffusion and thermophoresis to describe the nanofluid in this problem. The main purpose of the present paper is to examine whether the non-alignment function has the effect on the problem considered when the fluid suction and injection are imposed. It is interesting to note that the non-alignment function can ruin the symmetry of the flows and prominent in the shrinking sheet. The fluid suction will reduce the impact of the non-alignment function of the stagnation flow and the stretching/shrinking sheet but at the same time increasing the velocity profiles and the shear stress at the surface. Furthermore, the effects of the pertinent parameters such as the Brownian motion, thermophoresis, Lewis number and the suction/injection on the flow and heat transfer characteristics are also taken into consideration. The numerical results are shown in the tables and the figures. It is worth mentioning that dual solutions are found to exist for the shrinking sheet.

No MeSH data available.


Related in: MedlinePlus

Variations of f′′(0) with different λ.
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f2: Variations of f′′(0) with different λ.

Mentions: On the other hand, the effects of the fluid suction and injection for the stretching and shrinking sheets are depicted on the Figs 2, 3, 4, 5, 6, 7, 8, 9, respectively. It is seen in the Figs 2 and 6 that imposition of the fluid suction tends to increase as well as the velocity profiles. Increment of is not only because of the suction parameter but also due to the reduction of the value of λ. It is obvious that the interface shear stress is higher in the shrinking sheet. Moreover, we observed in the Figs 3 and 7 that the non-alignment function of the origin of the stagnation flow and the sheet can be reduced if the fluid is sucked into the surface of the sheet where it is more prominent in the shrinking sheet. It is worth mentioning that the non-alignment function is not affected by the variations in the Prandtl number. Further, Figs 4 and 8 show that the suction parameter also caused the reduction of the nanofluid temperature as the heat is transported into the interface of the sheet. Hence, as the thermal boundary thickness decreases, the heat flux from the surface is rising. The fluid suction also affected the nanoparticle volume fraction by reducing the profiles. This leads to the increasing of the interface mass transfer as shown in the Figs 5 and 9. On the contrary, the imposition of the fluid injection on the wall of the sheet produced the exact opposite behavior from the fluid suction.


Non-alignment stagnation-point flow of a nanofluid past a permeable stretching/shrinking sheet: Buongiorno's model.

Hamid RA, Nazar R, Pop I - Sci Rep (2015)

Variations of f′′(0) with different λ.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4594122&req=5

f2: Variations of f′′(0) with different λ.
Mentions: On the other hand, the effects of the fluid suction and injection for the stretching and shrinking sheets are depicted on the Figs 2, 3, 4, 5, 6, 7, 8, 9, respectively. It is seen in the Figs 2 and 6 that imposition of the fluid suction tends to increase as well as the velocity profiles. Increment of is not only because of the suction parameter but also due to the reduction of the value of λ. It is obvious that the interface shear stress is higher in the shrinking sheet. Moreover, we observed in the Figs 3 and 7 that the non-alignment function of the origin of the stagnation flow and the sheet can be reduced if the fluid is sucked into the surface of the sheet where it is more prominent in the shrinking sheet. It is worth mentioning that the non-alignment function is not affected by the variations in the Prandtl number. Further, Figs 4 and 8 show that the suction parameter also caused the reduction of the nanofluid temperature as the heat is transported into the interface of the sheet. Hence, as the thermal boundary thickness decreases, the heat flux from the surface is rising. The fluid suction also affected the nanoparticle volume fraction by reducing the profiles. This leads to the increasing of the interface mass transfer as shown in the Figs 5 and 9. On the contrary, the imposition of the fluid injection on the wall of the sheet produced the exact opposite behavior from the fluid suction.

Bottom Line: The main purpose of the present paper is to examine whether the non-alignment function has the effect on the problem considered when the fluid suction and injection are imposed.The numerical results are shown in the tables and the figures.It is worth mentioning that dual solutions are found to exist for the shrinking sheet.

View Article: PubMed Central - PubMed

Affiliation: Institute of Engineering Mathematics, Universiti Malaysia Perlis, Perlis, Malaysia.

ABSTRACT
The paper deals with a stagnation-point boundary layer flow towards a permeable stretching/shrinking sheet in a nanofluid where the flow and the sheet are not aligned. We used the Buongiorno model that is based on the Brownian diffusion and thermophoresis to describe the nanofluid in this problem. The main purpose of the present paper is to examine whether the non-alignment function has the effect on the problem considered when the fluid suction and injection are imposed. It is interesting to note that the non-alignment function can ruin the symmetry of the flows and prominent in the shrinking sheet. The fluid suction will reduce the impact of the non-alignment function of the stagnation flow and the stretching/shrinking sheet but at the same time increasing the velocity profiles and the shear stress at the surface. Furthermore, the effects of the pertinent parameters such as the Brownian motion, thermophoresis, Lewis number and the suction/injection on the flow and heat transfer characteristics are also taken into consideration. The numerical results are shown in the tables and the figures. It is worth mentioning that dual solutions are found to exist for the shrinking sheet.

No MeSH data available.


Related in: MedlinePlus