Blasius Problem with Generalized Surface Slip Velocity

This paper considers the classical problem of the steady boundary layer flow past a semi-infinite flat plate first considered by Blasius in 1908 with generalized surface slip velocity. Numerical solutions are obtained by solving the nonlinear similarity equation using the bvp4c function from MATLAB for several values of the slip parameters.

[1]  Chunpei Cai Near continuum boundary layer flows at a flat plate , 2015 .

[2]  I. Pop,et al.  Nearly parallel Blasius flow with slip , 2011 .

[3]  L. Crane,et al.  Accelerated slip flow past a cylinder , 2011 .

[4]  Abdul Aziz,et al.  Viscous flow over a shrinking sheet with a second order slip flow model , 2010 .

[5]  L. Crane,et al.  Heat transfer on a microcylinder with slip , 2010 .

[6]  Helge I. Andersson,et al.  Effects of slip and heat transfer analysis of flow over an unsteady stretching surface , 2009 .

[7]  Abdul Aziz,et al.  A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition , 2009 .

[8]  L. G. Leal,et al.  Advanced Transport Phenomena: Fluid Mechanics and Convective Transport Processes , 2007 .

[9]  C. Wang Stagnation slip flow and heat transfer on a moving plate , 2006 .

[10]  Tiegang Fang,et al.  A moving-wall boundary layer flow of a slightly rarefied gas free stream over a moving flat plate , 2005, Appl. Math. Lett..

[11]  Lawrence F. Shampine,et al.  Solving ODEs with MATLAB , 2002 .

[12]  I. Boyd,et al.  Blasius boundary layer solution with slip flow conditions , 2002 .

[13]  S. Troian,et al.  A general boundary condition for liquid flow at solid surfaces , 1997, Nature.

[14]  C. Wang,et al.  Slip flow due to a stretching cylinder , 1988 .

[15]  A. Bejan Convection Heat Transfer , 1984 .

[16]  D. Joseph,et al.  Boundary conditions at a naturally permeable wall , 1967, Journal of Fluid Mechanics.

[17]  H. Blasius Grenzschichten in Flüssigkeiten mit kleiner Reibung , 1907 .