Similarity solutions in axisymmetric mixedconvection boundarylayer flow
Abstract
The similarity equations for mixedconvection axisymmetric boundarylayer flow are considered. The equations involve a buoyancy parameter alpha and a curvature parameter beta. The equations are solved numerically and it is found that for large alpha, and beta of O(1), an asymptotic solution is approached, the nature of which is discussed. When beta is also large, of O(alpha exp 1/4), the problem, at leading order, becomes independent of the mainstream and the freeconvection limit is obtained. For alpha smaller than 0 it is also found that there are solutions only in the alpha range between alpha(b) and zero with two branches of solution bifurcating out of alpha = alpha(b), and values of alpha(b) are computed for a range of beta. The behavior of the solution for large values of the curvature parameter beta, and alpha of O(1), is discussed where it is shown that the solution proceeds in inverse powers of log beta.
 Publication:

Journal of Engineering Mathematics
 Pub Date:
 1988
 DOI:
 10.1007/BF00044366
 Bibcode:
 1988JEnMa..22...73M
 Keywords:

 Axisymmetric Flow;
 Boundary Layer Flow;
 Free Convection;
 Heat Transfer;
 Multiphase Flow;
 Similarity Theorem;
 Ambient Temperature;
 Circular Cylinders;
 Computational Fluid Dynamics;
 Fluid Mechanics and Heat Transfer