Approximate calculation of the laminar boundary layer in micronozzles
Abstract
The laminar boundary layer arising during perfect gas flow in a two dimensional Laval micronozzle with a thermally insulated wall is approximated by a simple method for a Prandtl number of one. The solution is compared to results obtained by solving the transformed system of laminar boundary layer equations by the finite difference method. The integral characteristics of the approximate solution agree well with the exact solution results, but the approximate method does not yield high accuracy in constructing the velocity profile. The approximate method allows the use of a Nairi type computer for the calculations and is very efficient. Calculation by the finite difference method on the M222 computer required 30 times more computer time. It is advised that the approximate method be used for engineering calculations.
 Publication:

Soviet Aeronomii
 Pub Date:
 1979
 Bibcode:
 1979SovAe.......68A
 Keywords:

 Approximation;
 Laminar Boundary Layer;
 Microchannels;
 Nozzle Flow;
 Boundary Layer Equations;
 Finite Difference Theory;
 Gas Flow;
 Prandtl Number;
 Run Time (Computers);
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer