Simple relations for the stability of heatedwater laminar boundary layers
Abstract
DunnLin theory (1955) is shown to be applicable in the estimation of minimum critical Reynolds number for heated boundary layers. A parameter is defined to reflect the curvature of the velocity profile between wall and critical layer, and includes the variable kinematic viscosity. The value of the parameter is determined by assuming a linear viscosity profile, a parabolic velocity profile, and by calculating a dominant viscous term in the asymptotic solution of the OrrSommerfeld equation. The inclusion of the curvature permits accurate results for the laminar velocity profiles in the wall region. Comparisons are made between the obtained values and those derived from a numerical computation using the OrrSommerfeld equation for exact boundary layer profiles. Agreement is noted in predicting the location of the maximum attainable critical Reynolds number in certain cases, and the method is considered reliable within experimentally available pressure gradients and surface overheats.
 Publication:

AIAA Journal
 Pub Date:
 May 1982
 DOI:
 10.2514/3.7941
 Bibcode:
 1982AIAAJ..20..728A
 Keywords:

 Boundary Layer Stability;
 Laminar Boundary Layer;
 Thermohydraulics;
 Water Heating;
 Computational Fluid Dynamics;
 Critical Velocity;
 Flow Stability;
 Laminar Flow;
 OrrSommerfeld Equations;
 Pressure Gradients;
 Reynolds Number;
 Temperature Effects;
 Velocity Distribution;
 Viscosity;
 Water Flow;
 Fluid Mechanics and Heat Transfer