%0 Journal Article
%T Theory-derived law of the wall for parallel flat-plates turbulent flow
%A Joey Duran Ocon
%A Ludek Jirkovsky
%A Rizalinda L. de Leon
%A Amador Muriel
%J CFD Letters
%D 2012
%I ISSR
%X It is well known that in a turbulent flow between two parallel flat plates, the horizontal mean velocity varies logarithmically with height (the so-called 'logarithmic-law-of-the-wall'). The law of the wall is a description of the mean velocity profile in wall bounded flows and has been regarded as one of the underpinning doctrine in the turbulence community for more than half a century. Much of our understanding in wall turbulence has been based from the continuum Navier-Stokes Equation (NSE). More recently, following studies of a modified Navier Stokes Equation, we applied a modified incompressible NSE to the flow of turbulent fluid between two parallel flat plates and solved it analytically [1]. We extended the analysis to the turbulent flow along a single wall and compared the results with the established controversial von Karman logarithmic law of the wall [2]. We found velocity profiles and velocity time evolution of a turbulent system, through simple numerical simulations, that cannot be reproduced from the classical NSE.
%K post-Navier Stokes equation
%K law of the wall
%K analytical solution
%K numerical simulations
%K flat-plate system
%U http://www.issres.net/journal/index.php/cfdl/article/view/S2180-1363%2812%2943093/160