tailieunhanh - Báo cáo hóa học: " Stagnation-point flow over a stretching/shrinking sheet in a nanofluid"

Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí hóa hoc quốc tế đề tài : Stagnation-point flow over a stretching/shrinking sheet in a nanofluid | Bachok et al. Nanoscale Research Letters 2011 6 623 http content 6 1 623 o Nanoscale Research Letters a SpringerOpen Journal NANO EXPRESS Open Access Stagnation-point flow over a stretching shrinking sheet in a nanofluid Norfifah Bachok1 Anuar Ishak2 and Ioan Pop3 Abstract An analysis is carried out to study the steady two-dimensional stagnation-point flow of a nanofluid over a stretching shrinking sheet in its own plane. The stretching shrinking velocity and the ambient fluid velocity are assumed to vary linearly with the distance from the stagnation point. The similarity equations are solved numerically for three types of nanoparticles namely copper alumina and titania in the water-based fluid with Prandtl number Pr . The skin friction coefficient Nusselt number and the velocity and temperature profiles are presented graphically and discussed. Effects of the solid volume fraction Ộ on the fluid flow and heat transfer characteristics are thoroughly examined. Different from a stretching sheet it is found that the solutions for a shrinking sheet are non-unique. Keywords nanofluids stagnation-point flow heat transfer stretching shrinking sheet dual solutions. Introduction Stagnation-point flow describing the fluid motion near the stagnation region of a solid surface exists in both cases of a fixed or moving body in a fluid. The twodimensional stagnation-point flow towards a stationary semi-infinite wall was first studied by Hiemenz 1 who used a similarity transformation to reduce the Navier-Stokes equations to nonlinear ordinary differential equations. This problem has been extended by Homann 2 to the case of axisymmetric stagnation-point flow. The combination of both stagnation-point flows past a stretching surface was considered by Mahapatra and Gupta 3 4 . There are two conditions that the flow towards a shrinking sheet is likely to exist whether an adequate suction on the boundary is imposed 5 or a stagnation flow is considered 6 . .

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