SECOND ORDER BOUNDARY LAYER THEORY FOR CURVED WALLS.
Abstract
The present work deals with incompressible plane and steady laminar boundary layer flow free of speration along semi-infinite walls with longitudinal curvature. The second order approximation is taken in account. The general condition for self similar solutions and the corresponding differential equation are derived, which include as limiting cases for zero wall curvature the flows along a flat plate and along a wedge as well as the stagnation point flow at a circular cylinder. Constant pressure along the wall corresponds to walls curved like evolvents of a circle with sharp leading edge. A transformation is introduced which simplifies the analysis considerably and yields formal analogies to the plane wall. Furthermore the influence of curvature on heat transfer for walls of constant temperature and for isolated walls is determined in dependency of Prandtl number. Some of the results are the increase of shear stress and heat transfer at concave and decrease at convex walls, the influence on the exponent of the Prandtl number in the expression for the Nusselt number. Reference is payed to previous attempts and to numerical results obtained by the second order singular perturbation theory applied to a circular cylinder in cross flow. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 31, 1965
- Accession Number
- AD0622390
Entities
People
- F. Schultz-grunow