Accession Number : AD0622390

Title :   SECOND ORDER BOUNDARY LAYER THEORY FOR CURVED WALLS.

Descriptive Note : Annual summary rept. no. 5, 1 Sep 64-31 Aug 65,

Corporate Author : TECHNISCHE HOCHSCHULE AACHEN (WEST GERMANY) INSTITUT FUER MECHANIK

Personal Author(s) : Schultz-Grunow,F.

Report Date : 31 AUG 1965

Pagination or Media Count : 69

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)

Descriptors :   (*LAMINAR FLOW, CURVED PROFILES), (*LAMINAR BOUNDARY LAYER, CURVED PROFILES), HEAT TRANSFER, INCOMPRESSIBLE FLOW, FLAT PLATE MODELS, CAMBER, WEDGES, WEST GERMANY

Distribution Statement : APPROVED FOR PUBLIC RELEASE