Stagnation-point flow of a nanofluid towards a stretching sheet. (English) Zbl 1231.80023
Summary: This communication considers the flow of a nanofluid near a stagnation-point towards a stretching surface. The effects of different Brownian motion and thermophoresis numbers are further taken into account. The analytic solutions are obtained using the homotopy analysis method. Special emphasis is given to parameters of physical interest which include stretching ratio \(a/c\), Prandtl number Pr, Lewis number Le, Brownian motion number Nb and thermophoresis number Nt. It is observed that a reduced Nusselt number is an increasing function of the ratio \(a/c\). A comparison of the present results with existing numerical solutions is also given and yields very good results.
MSC:
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
| 60J65 | Brownian motion |
| 76D10 | Boundary-layer theory, separation and reattachment, higher-order effects |
| 80M25 | Other numerical methods (thermodynamics) (MSC2010) |
| 76M25 | Other numerical methods (fluid mechanics) (MSC2010) |
Keywords:
homotopy analysis method (HAM) solution; boundary-layer flow; stagnation-point flow; heat and mass transferSoftware:
BVPhReferences:
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