... evaluation for the Nusselt number compared to the perturbation method is achieved. partial differential equations channel flows non-Newtonian fluids heat transfer homotopy analysis method Studies of channel flows have been attractive for many authors. Non-Newtonian fluid flows and heat...

..., and the induced magnetic field is neglected. The similarity transformations reduce the nonlinear partial differential equations into ordinary differential equations. The convergence of the obtained solutions is checked. Graphs are plotted and discussed for various parameters of interest. The governing equations...

... 2010 16 04 2010 boundary layers convection external flows iterative methods laminar flow nonlinear differential equations partial differential equations Runge-Kutta methods vertical plate boundary layer flow heat transfer local Grashof number convective parameter...

... resolve the dynamics of the complex shallow water flows. Moreover, the computational cost of the approach is less than the one for a fine-scale model. 01 03 2008 16 04 2009 23 06 2009 computational fluid dynamics flow instability Galerkin method partial differential equations...

... on the principles of power expended and mass conservation, is exploited with the Papanastasiou approximation for Casson equation employed to model viscoplasticity. The approximation for the nonlinear set of partial differential equations is performed, using a stabilized finite element methodology. A Galerkin least...

... for calculating ice shapes on simple or complex 3D geometries. The resulting ice simulation system, FENSAP-ICE, is built in a modular fashion to successively solve each flow, impingement and accretion via field models based on partial differential equations (PDEs). The FENSAP-ICE system results are compared...

.... In the present work, the method of multiple scales is applied to take the nonparallel flow effects into consideration. The results demonstrate the stabilizing character of the nonparallel flow effects. The vortex instability mode is also considered within the scope of partial differential equations. The results...

... transforms partial differential equations boundary-value problems Fractional calculus is a mathematical concept of differentiation and integration to arbitrary (noninteger) order, such as ∂ − 2 / 3 f / ∂ x − 2 / 3 . Some useful definitions and properties of fractional...

...C. Prud’homme; D. V. Rovas; K. Veroy; L. Machiels; Y. Maday; A. T. Patera; G. Turinici We present a technique for the rapid and reliable prediction of linear-functional outputs of elliptic (and parabolic) partial differential equations with affine parameter dependence. The essential components...