An Initial Value Method for the Solution of a Class of Nonlinear Equations in Fluid MechanicsSource: Journal of Fluids Engineering:;1970:;volume( 092 ):;issue: 003::page 503Author:T. Y. Na
DOI: 10.1115/1.3425046Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An initial value method is introduced in this paper for the solution of a class of nonlinear two-point boundary value problems. The method can be applied to the class of equations where certain physical parameters appear either in the differential equation or in the boundary conditions or both. Application of this method to two problems in Fluid Mechanics, namely, Blasius’ boundary layer equation with suction (or blowing) and/or slip and the unsteady flow of a gas through a porous medium, are presented as illustrations of this method. The trial-and-error process usually required for the solution of such equations is eliminated.
keyword(s): Fluid mechanics , Nonlinear equations , Equations , Boundary-value problems , Errors , Unsteady flow , Porous materials , Suction , Boundary layers AND Differential equations ,
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| contributor author | T. Y. Na | |
| date accessioned | 2017-05-09T00:38:20Z | |
| date available | 2017-05-09T00:38:20Z | |
| date copyright | September, 1970 | |
| date issued | 1970 | |
| identifier issn | 0098-2202 | |
| identifier other | JFEGA4-27367#503_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/143534 | |
| description abstract | An initial value method is introduced in this paper for the solution of a class of nonlinear two-point boundary value problems. The method can be applied to the class of equations where certain physical parameters appear either in the differential equation or in the boundary conditions or both. Application of this method to two problems in Fluid Mechanics, namely, Blasius’ boundary layer equation with suction (or blowing) and/or slip and the unsteady flow of a gas through a porous medium, are presented as illustrations of this method. The trial-and-error process usually required for the solution of such equations is eliminated. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | An Initial Value Method for the Solution of a Class of Nonlinear Equations in Fluid Mechanics | |
| type | Journal Paper | |
| journal volume | 92 | |
| journal issue | 3 | |
| journal title | Journal of Fluids Engineering | |
| identifier doi | 10.1115/1.3425046 | |
| journal fristpage | 503 | |
| journal lastpage | 508 | |
| identifier eissn | 1528-901X | |
| keywords | Fluid mechanics | |
| keywords | Nonlinear equations | |
| keywords | Equations | |
| keywords | Boundary-value problems | |
| keywords | Errors | |
| keywords | Unsteady flow | |
| keywords | Porous materials | |
| keywords | Suction | |
| keywords | Boundary layers AND Differential equations | |
| tree | Journal of Fluids Engineering:;1970:;volume( 092 ):;issue: 003 | |
| contenttype | Fulltext |