Towards the computation of minimum drag profiles in viscous laminar flow
Abstract
A numerical method is given for the solution of certain optimum design problems of fluid mechanics. The profile of given area and smallest drag in a uniform laminar flow is computed. This profile is long and slim, its front end is shaped like a wedge of angle 90 deg, and its real end is shaped like a cusp. Owing to the numerical complexity of the problem the precision of the results is average (around 5 percent). A numerical solution of the adjoint system of the stationary NavierStokes equation is also given.
 Publication:

Applied Mathematics Mechanics English Edition
 Pub Date:
 September 1976
 Bibcode:
 1976ApMaM...1...58G
 Keywords:

 Aerodynamic Configurations;
 Drag Reduction;
 Fluid Mechanics;
 Laminar Flow;
 Mathematical Models;
 Optimization;
 Viscous Flow;
 Adjoints;
 Airfoil Profiles;
 Boundary Layer Flow;
 Hydrodynamics;
 Iterative Solution;
 NavierStokes Equation;
 Potential Flow;
 Reynolds Number;
 Singularity (Mathematics);
 Steepest Descent Method;
 Fluid Mechanics and Heat Transfer