A numerical procedure on threedimensional parabolic flow in duct
Abstract
A numerical procedure for solving the three dimensional viscous flow in a duct is described in this paper. The governing equations are parabolized according to boundary layer approximation such that the derivatives concerning physical quantities along the main flow direction are much smaller than those in the secondary flow direction. No assumption such as uncoupling of the longitudinal and cross flow pressure gradients is made for the pressure field. And also relaxed continuity equation is used, which allows constant source distributions in the radial direction. Assumed wall pressures are corrected by the NewtonRaphson method so as to reduce the source distributions to zero. Example calculations of the three dimensional flow field in a curved annulus and curved pipe are carried out. Typical secondary flow patterns are obtained for either case.
 Publication:

In its Proc. of the NAL Symp. on Aircraft Computational Aerodyn. p 7181 (SEE N8526611 1601
 Pub Date:
 1983
 Bibcode:
 1983acae.proc...71T
 Keywords:

 Air Ducts;
 Approximation;
 NewtonRaphson Method;
 Numerical Analysis;
 Viscous Flow;
 Flow Distribution;
 Pipes (Tubes);
 Pressure Gradients;
 Wall Pressure;
 Fluid Mechanics and Heat Transfer