.... Furthermore, “similarity methods” reveal directly theoretical results, which are not always observable with the use of classical numerical methods. Navier–Stokes similar solutions boundary layer Blasius equation exponential profile boundary layers laminar flow Navier-Stokes equations...

...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...

... , U 3 → 1 very rapidly. 08 03 2007 25 03 2008 23 10 2008 flow through porous media laminar flow shear flow The problem of flow through layered porous media finds applications in various fields of science and engineering. For example, the flow of ground water...

... for the lens duct studied in this paper. The results are also important for the torsion of lens-shaped bars. 06 12 2006 27 08 2007 02 05 2008 laminar flow pipe flow Laminar, fully developed flow in ducts has a wide range of applications in thermofluid transport processes...

... symmetric impinging jet . For a laminar flow in a circular pipe (Hagen-Poiseuille flow), the velocity profile is parabolic about the centerline, and the average velocity is equal to half of the centerline velocity (Ref. 11 , p. 116): 74 u ¯ = 1 2 u max where u max...

... 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: sjliao@sjtu.edu.cn Email: tanyue@sjtu.edu.cn...

... discs (structures) mass transfer rotational flow non-Newtonian flow laminar flow boundary layers yield stress An analytical model has been developed to represent the wall mass transfer rate in a non-Newtonian Bingham plastic fluid. The approximate analytical solution is evaluated using...

... 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...

... 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...

... computational procedure. natural convection flow simulation channel flow vortices laminar flow thermal diffusion Navier-Stokes equations As vividly described by Patankar ( 31 ), the problem of numerical diffusion, also called false diffusion, caused by the first-order upwind scheme is never so...

... until four months after final publication of this paper in the ASME JOURNAL OF APPLIED MECHANICS . 12 December 2002 09 June 2003 17 03 2004 laminar flow film condensation flow simulation heat transfer surface tension Accurate numerical solutions of the full...

.... 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...