Self-similar Boundary Layer Research Articles

Effects of suction and injection on self-similar solutions of second-order boundary-layer equations

Effects of suction and injection on self-similar boundary-layer flows at moderately large Reynolds numbers are studied. The general form of normal velocity at the wall is assumed to be v w = R − 1 2 v w1 + R −1v w2 +… In addition to the usual five second-order effects (due to longitudinal curvature, transverse curvature, displacement speed, external vorticity, temperature gradient) an additional sixth effect due to v w2 is linearly separated. Both the cases of the momentum and heat transfer are studied. For heat transfer two cases of prescribed wall temperature and that of insulated wall with full similarity with viscous dissipation considered. Numerical solutions are displayed graphically and critically discussed.

Comment on "Separating Self-Similar Laminar Boundary Layers"

Comment on "Separating Self-Similar Laminar Boundary Layers"

Separating self-similar laminar boundary layers.

Separating self-similar laminar boundary layers.

Highly Accelerated Compressible Laminar Boundary Layer Flows With Mass Transfer

Exact numerical solutions have been obtained for highly accelerated self-similar laminar boundary layer flows with and without mass transfer. Values of the acceleration parameter β in the range 0 to 20 were considered. Variable gas properties were realistically modeled by assuming ρ ∝ h−1, μ ∝ hω, and Pr = constant. The results presented show the dependence of wall shear stress, heat transfer rate, and displacement thickness on the problem parameters which include β, Mach number, wall enthalpy ratio, mass transfer rate, ω and Pr. The inadequacy of solutions obtained under the simplifying assumptions of Pr = 1.0 and ω = 1.0 is clearly displayed. The numerical solution procedure employed proved quite adequate for a class of problem which has presented serious difficulties to previous investigators.

Calculation of self-similar three-dimensional laminar boundary layer equations by a quasilinear method

Calculation of self-similar three-dimensional laminar boundary layer equations by a quasilinear method

Physical flows with self-similar laminar boundary layers.

Physical flows with self-similar laminar boundary layers.

Evaluation of Coles' turbulent compressible boundary layer theory.

In conclusion, the relationships linking the pressure gradient, heat, and mass transfer at corresponding stations have been determined and the necessity of PJJL = const shown in the context of Coles' transformation when applied to boundary layers. These laws, when applied to a self-similar boundary-layer flow, are shown to yield a set of necessary conditions for self-similarity. The results are limited by the applicability of the boundary-layer equations, the assumption regarding (bufay)w(bvfoy)w for the high-speed flow, and the conjecture regarding the independence of the pressure gradient and mass transfer.