Laminar natural convection boundarylayer flow along a heated vertical plate in a stratified environment
Abstract
All similarity solutions of the laminar natural convection boundarylayer equations for air are numerically determined for a fixed wall and variable environment temperature. It is found that the positive M class does not have the singularity found by Merkin (1985) for a variable wall and fixed environment temperature. Solutions of the negative M class for an unstable stratification depend on the position of the outer edge and are unusable. The similarity solutions for a stable stratification show regions of backflow. Therefore, the calculation of nonsimilar solutions of the boundarylayer equations along a heated vertical plate with a sharp leading edge requires that the solution is known at the end of the plate. The positive M class provides such a solution for a semiinfinite plate. If the environment temperature becomes equal to the wall temperature at a finite distance x(o), the nonsimilar solution does not smoothly approach the negative M class similarity solution close to x(o).
 Publication:

International Journal of Heat and Mass Transfer
 Pub Date:
 January 1989
 Bibcode:
 1989IJHMT..32..147H
 Keywords:

 Boundary Layer Equations;
 Boundary Layer Flow;
 Free Convection;
 Laminar Boundary Layer;
 Stratified Flow;
 Wall Flow;
 Air Flow;
 Computational Fluid Dynamics;
 Grashof Number;
 NavierStokes Equation;
 Fluid Mechanics and Heat Transfer