Unsteady boundary layer on a two dimensional or axisymmetric body with higher order effects
Abstract
An analysis of the higher order effects upon the boundary layer growth on two dimensional and axisymmetric bodies which move impulsively with a linear velocity as an exponential function of time, is presented. Using the method of matched asymptotic expansions the full NavierStokes equations are solved analytically for the universal velocity profiles. The theory is applied to study the motion of cylinder in two dimensions and sphere in three dimensions.
 Publication:

Zeitschrift Angewandte Mathematik und Mechanik
 Pub Date:
 March 1980
 DOI:
 10.1002/zamm.19800600304
 Bibcode:
 1980ZaMM...60..147A
 Keywords:

 Axisymmetric Bodies;
 Boundary Layer Stability;
 Flow Velocity;
 Two Dimensional Bodies;
 Velocity Distribution;
 Approximation;
 Asymptotic Methods;
 Cylindrical Bodies;
 Exponential Functions;
 Linearity;
 NavierStokes Equation;
 Spheres;
 Fluid Mechanics and Heat Transfer