Abstract

The research of microflow pattern draws great attention from scientists. Its characteristic is the slip on the wall and it is frequently occurred in the real world engineering applications. In this study, the authors will re-explore previous study [Heat and Mass Transfer, vol. 40, pp. 203-209 (2004)] with Oldroyd-B fluid in the circular tube under the influence of wall slip condition. The velocity profile and pressure gradient in a microcircular tube are solved by Laplace transform method. As the velocity slip condition at the wall imposed, the boundary conditions should be modified. The flow motion is induced by a prescribed arbitrary inlet volume flow rate which was proposed by Das et. al. [ASME J. Appl. Mech., vol. 67, pp. 274-281 (2000)]. In this paper, two basic flow situations are solved. These are a suddenly started and a constant acceleration flow, respectively. The linear acceleration and oscillatory flow are also considered.

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