... f ′ ) ν x y 2 + x d u e ( x ) d x 17 07 2010 07 03 2011 08 03 2011 13 04 2011 13 04 2011 boundary layers laminar flow Navier-Stokes equations Navier–Stokes similar solutions boundary layer Blasius equation...

...Xiangcheng You; Hang Xu; Shijun Liao In this paper, the nonsimilarity boundary-layer flows of second-order fluid over a flat sheet with arbitrary stretching velocity are studied. The boundary-layer equations describing the steady laminar flow of an incompressible viscoelastic fluid past a semi...

...: Slurry Flow Technology , Gulf Publishing Company , Houston, TX , Chap. 14, p. 568 . 08 03 2007 25 03 2008 23 10 2008 flow through porous media laminar flow shear flow The mathematical model for these types of problems has been based on Darcy’s law, which...

...-shaped rods. Our Ritz method and our systematic modified perturbation methods are more efficient than direct numerical integration for this geometry. Shah , R. K. , and London , A. L. , 1978 , Laminar Flow Forced Convection in Ducts , Academic , New York . Blevins , R. D...

... 02 2008 boundary layers jets laminar flow turbulence impinging jets analytical models Impinging jets have extensive practical applications ranging from industrial processing, such as mixing, heating/cooling, or drying, to environmental flows related to ventilation...

.... unsteady Navier–Stokes equation series solution rotating fluid homotopy analysis method laminar flow flow instability Navier-Stokes equations rotational flow boundary layers convergence perturbation theory approximation theory friction 08 09 2006 29 01 2007 Email...

... discs (structures) mass transfer rotational flow non-Newtonian flow laminar flow boundary layers yield stress The rotating disk is a popular geometry for studying different fluids, both because of its simplicity and the fact that it represents a classical fluid dynamics problem. A review...

... is examined. 30 06 2004 14 06 2005 laminar flow natural convection confined flow Heat transfer by natural convection, in an annular space delimited by two concentric or eccentric horizontal cylinders, was the subject of many theoretical and experimental studies because...

... exchangers flow through porous media laminar flow forced convection thermal conductivity pipe flow The increase in energy cost and energy consumption has required more effective use of energy. Hence, decreasing energy losses is getting more and more important. Presently, second law based methods...

... 12 ). natural convection flow simulation channel flow vortices laminar flow thermal diffusion Navier-Stokes equations 13 07 2004 20 04 2005 Figure 8 displays the normalized velocity profiles for a channel aspect ratio equal to 10 influenced by different Ra numbers...

...., the vapor flow in Fig. 1 is “parabolic”). To address laminar/laminar flow issues that cannot be addressed by the above approach, direct numerical simulations are undertaken here to better understand the wave phenomena and associated effects. Strictly speaking the results presented here are valid only...

.... Associated Editor: D. A. Siginer. 16 August 2000 28 April 2001 perturbation theory non-Newtonian flow non-Newtonian fluids film flow pressure lubrication confined flow laminar flow In recent years, hydrodynamically lubricated bearings are used under increasingly severe...

...D. Das; J. H. Arakeri In this paper we give a procedure to obtain analytical solutions for unsteady laminar flow in an infinitely long pipe with circular cross section, and in an infinitely long two-dimensional channel, created by an arbitrary but given volume flow rate with time. In the literature...