Approximate Method of Integration of Laminar Boundary Layer in Incompressible Fluid


Book Description

A method is given for the approximate solution of the equations of the two-dimensional laminar boundary layer in an incompressible fluid. The method is based on the use of a system of equations of successive moments that is easily solved for simple supplementary assumptions. The solution obtained is given in closed form by simple formulas and is claimed to be no less accurate than the complicated solutions previously obtained, which were based on the use of special classes of flows.




An Approximate Method for Estimating the Incompressible Laminar Boundary-layer Characteristics on a Flat Plate in Slipping Flow


Book Description

Abstract: An approximate method is presented for the estimation of the properties of the incompressible laminar boundary layer on a flat plate in the slip-flow regime using Kármán's momentum method. These results are compared with results for a normal boundary layer at the same Reynolds number to bring out the characteristics of a slip boundary layer. A simple criterion for the importance of slip is presented.




A Method of Quadrature for Calculation of the Laminar and Turbulent Boundary Layer in Case of Plane and Rotationally Symmetrical Flow


Book Description

Abstract: For calculation of the characteristic parameters of the boundary layer (momentum-loss thickness and form parameter for the velocity profile), two quadrature formulas are given which are valid for the laminar as well as for the turbulent state of flow. These formulas cover both the two-dimensional and the rotationally symmetrical case. The calculation of the momentum-loss thickness is carried out by a simple integration of the energy theorem. The equation for the form parameter is obtained by coupling of the momentum theorem with the energy theorem. Knowledge of the derivatives of the velocity distribution and of the radius of the body along the length x is not necessary.