... for such systems of nonlinear differential equations. According to the OHAM [( 8 9 10 )] the differential Eq. ( 8 ) satisfied by the velocity field u ( y ) can be written as ( 29 ), where we let 34 L = d 2 u d y 2 , N = 6 β ( du dy ) 2 d 2 u d...

...Mustafa Turkyilmazoglu The steady magnetohydrodynamics (MHD) laminar compressible flow of an electrically conducting fluid on a porous rotating disk is considered in the present paper. The governing equations of motion are reduced to a set of nonlinear differential equations by means of similarity...

... natural convection nonlinear differential equations porous materials thermal conductivity thermal diffusion thermal diffusivity nonlinear conduction Kirchhoff transformation Cole–Hopf transformation nonlinear thermal diffusion temperature dependent properties Nonlinear thermal...

... physical properties of different liquid metals. For liquid sodium, as an example test material, variation in the work function produces order-of-magnitude differences in the film thickness and evaporation profile. evaporation liquid films liquid metals metallic thin films nonlinear differential...

.... 29 03 2007 26 09 2007 19 05 2008 capillarity discs (structures) film condensation film flow flow through porous media heat transfer liquid films nonlinear differential equations porous materials Runge-Kutta methods wall suction filmwise condensation porous medium...

... finite element analysis flow instability natural convection nonlinear differential equations partial differential equations temperature distribution natural convection square cavity nonuniform heating temperature difference aspect ratio 2007 American Society of Mechanical Engineers ...

... s ∂ T s ∂ t = 0 heat pipes heat transfer mass transfer nonlinear differential equations partial differential equations shear flow micro heat pipe transient modeling capillary phenomenon interface Electronic devices have increased in computing ability...

... external flows boundary layers mass transfer nonlinear differential equations partial differential equations finite difference methods linearisation techniques friction mixed convection slender cylinder quasi-linearization nonsimilar solution Unsteady mixed convection flows do...

... are also discussed. 29 11 2004 02 08 2005 plates (structures) magnetohydrodynamics convection external flows flow through porous media boundary layers nonlinear differential equations rotational flow iterative methods friction MHD convection micropolar fluid...

... flow flow through porous media viscosity thermal conductivity nonlinear differential equations partial differential equations Runge-Kutta methods The problem of the flow over a rotating disk has a long history, in particular rotating disk flow with heat transfer is one of the classical...

... difference methods nonlinear differential equations partial differential equations flow simulation pattern formation Natural convection flow caused by the combined buoyancy effects of thermal and species diffusion in a saturated porous medium has applications...