%0 Journal Article %1 rubbert1967solution %A Rubbert, Paul E. %A Landahl, Marten T. %B The Physics of Fluids %D 1967 %I American Institute of Physics %J The Physics of Fluids %K 35b60-pdes-continuation-and-prolongation-of-solutions 65h20-global-methods-including-homotopy-approaches 76b10-airfoil-and-hydrofoil-theory 76d10-boundary-layer 76h05-transonic-flows %N 4 %P 831--835 %R 10.1063/1.1762196 %T Solution of Nonlinear Flow Problems through Parametric Differentiation %U https://aip.scitation.org/doi/abs/10.1063/1.1762196 %V 10 %X A method of obtaining solutions to nonlinear flow problems by integrating the rate of change of the solution with respect to a suitable parameter is described. The advantage of this method is that the nonlinearity of the problem is confined to a first order equation where it causes little difficulty. The Falkner‐Skan boundary‐layer problem and the problem of flow about a nonlifting airfoil at transonic speeds are used to illustrate the method.

@article{rubbert1967solution, abstract = {A method of obtaining solutions to nonlinear flow problems by integrating the rate of change of the solution with respect to a suitable parameter is described. The advantage of this method is that the nonlinearity of the problem is confined to a first order equation where it causes little difficulty. The Falkner‐Skan boundary‐layer problem and the problem of flow about a nonlifting airfoil at transonic speeds are used to illustrate the method.}, added-at = {2019-04-02T01:38:08.000+0200}, author = {Rubbert, Paul E. and Landahl, Marten T.}, biburl = {https://www.bibsonomy.org/bibtex/2ad214fb299def849920cf848ad997ab5/gdmcbain}, booktitle = {The Physics of Fluids}, comment = {doi: 10.1063/1.1762196}, description = {Solution of Nonlinear Flow Problems through Parametric Differentiation: The Physics of Fluids: Vol 10, No 4}, doi = {10.1063/1.1762196}, interhash = {f223816419e3e2d659235d70d8fecd34}, intrahash = {ad214fb299def849920cf848ad997ab5}, issn = {00319171}, journal = {The Physics of Fluids}, keywords = {35b60-pdes-continuation-and-prolongation-of-solutions 65h20-global-methods-including-homotopy-approaches 76b10-airfoil-and-hydrofoil-theory 76d10-boundary-layer 76h05-transonic-flows}, month = apr, number = 4, pages = {831--835}, publisher = {American Institute of Physics}, timestamp = {2019-04-02T01:39:02.000+0200}, title = {Solution of Nonlinear Flow Problems through Parametric Differentiation}, url = {https://aip.scitation.org/doi/abs/10.1063/1.1762196}, volume = 10, year = 1967 }