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Boundary layer flow over a moving surface in a nanofluid with suction or injection

Acta Mechanica Sinica 2012年第1期28卷 34-40页

作者： norfifah bachok Anuar Ishak Ioan Pop Department of Mathematics and Institute for Mathematical Research Faculty of Science Universiti Putra Malaysia School of Mathematical Sciences Faculty of Science and Technology Universiti Kebangsaan Malaysia Faculty of Mathematics University of Cluj

An analysis is performed to study the heat transfer characteristics of steady two-dimensional boundary layer flow past a moving permeable flat plate in a nanofluid. The effects of uniform suction and injection on the flow field and heat transfer characteristics are numerically studied by using an implicit finite difference method. It is found that dual solutions exist when the plate and the free stream move in the opposite directions. The results indicate that suction delays the boundary layer separation, while injection accelerates it.

关键词： Nanofluid .Moving plate. Boundary layer. Suction/injection - Dual solutions

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Boundary Layer Stagnation-Point Slip Flow and Heat Transfer towards a Shrinking/Stretching Cylinder over a Permeable Surface

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Applied Mathematics 2015年第3期6卷 466-475页

作者： Nor Azian Aini Mat Norihan Md. Arifin Roslinda Nazar norfifah bachok Faculty of Science and Mathematics Universiti Pendidikan Sultan Idris Perak Malaysia Institute for Mathematical Research Universiti Putra Malaysia Selangor Malaysia School of Mathematical Sciences Universiti Kebangsaan Malaysia Selangor Malaysia Department of Mathematics Faculty of Science Universiti Putra Malaysia Selangor Malaysia

In this paper, the boundary layer stagnation-point slip flow and heat transfer towards a shrinking/stretching cylinder over a permeable surface is considered. The governing equations are first transformed into a system of non-dimensional equations via the non-dimensional variables, and then into self-similar ordinary differential equations before they are solved numerically using the shooting method. Numerical results are obtained for the skin friction coefficient and the local Nusselt number as well as the velocity and temperature profiles for some values of the governing parameters, namely the velocity slip parameter (α), the thermal slip parameter (β), the curvature parameter (γ) and the velocity ratio parameter (c/a). The physical quantities of interest are the skin friction coefficient and the local Nusselt number measured by f’’(0) and –θ’(0), respectively. The numerical results show that the velocity slip parameter α increases the heat transfer rate at the surface, while the thermal slip parameter β decreases it. On the other hand, increasing the velocity slip parameter α causes the decrease in the flow velocity. Further, it is found that the solutions for a shrinking cylinder (c/ac/a>0) case. Finally, it is also found that the values of f’’(0) and –θ’(0) increase as the curvature parameter γ increases.

关键词： Boundary Layer Heat Transfer Numerical Solution Shrinking/Stretching Cylinder Slip Flow Stagnation-Point Suction/Injection

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