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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

Physical model and coordinate system.
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f1: Physical model and coordinate system.

Mentions: Consider the steady flow of a viscous nanofluid in the region y > 0 driven by a permeable stretching/shrinking surface located at y = 0 as shown in Fig. 1, where x, y and z are the Cartesian coordinates measured along the plate, normal to it and in the transversal direction, respectively. Let (u, v, w) be the velocity components in the directions x, y and z, respectively.


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)

Physical model and coordinate system.
© Copyright Policy - open-access
Related In: Results  -  Collection

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

f1: Physical model and coordinate system.
Mentions: Consider the steady flow of a viscous nanofluid in the region y > 0 driven by a permeable stretching/shrinking surface located at y = 0 as shown in Fig. 1, where x, y and z are the Cartesian coordinates measured along the plate, normal to it and in the transversal direction, respectively. Let (u, v, w) be the velocity components in the directions x, y and z, respectively.

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