Article ID Journal Published Year Pages File Type
1721887 Journal of Hydrodynamics, Ser. B 2015 11 Pages PDF
Abstract

An analysis has been achieved to study the natural convection of a non-Newtonian fluid (namely a Carreau fluid) in a vertical channel with rhythmically contracting walls. The Navier-Stokes and the energy equations are reduced to a system of non-linear PDE by using the long wavelength approximation. The optimal homotopy analysis method (OHAM) is introduced to obtain the exact solutions for velocity and temperature fields. The convergence of the obtained OHAM solution is discussed explicitly. Numerical calculations are carried out for the pressure rise and the features of the flow and temperature characteristics are analyzed by plotting graphs and discussed in detail.

Related Topics
Physical Sciences and Engineering Engineering Ocean Engineering