Analytic Approximations for the Nonlinear Problems of Nano Boundary Layer Flows

作者：El Nahhas A^*

来源：Journal of Computational and Theoretical Nanoscience, 2012, 9(4): 516-521.

DOI：10.1166/jctn.2012.2054

• Partial Differential Equations
• Boundary Layers
• Nano Boundary Layer Flows
• Navier Nonlinear Boundary Condition
• Homotopy Analysis Method

In this paper we use the homotopy analysis method as a tool to give analytic approximations to the nonlinear problem of nano boundary layer flows, which has nonlinear boundary conditions. The application of this method is executed via bases which are fractional or fractional in most of their terms. Two types of flows are considered: the flow past a wedge and the flow in a convergent channel. The effects of the slip length l on the velocity profile are described and discussed.

• 出版日期2012-4