Practical techniques for estimating the accuracy of finite-difference solutions to parabolic equations.
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Engineering topics
Publications and source records attributed to Clausing, A. M..
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Research was undertaken to determine the mass required to protect a surface during atmospheric reentry by injecting a cold gas tangentially along the surface. A consideration of this problem revealed that the boundary layer equations could be employed to approximate the most important flow configurations which occur in film cooling. However, even with this simplification, the equations to be solved are complex, nonlinear, coupled partial differential equations. Due to the relative weakness of classical methods of boundary layer analysis, finite difference methods were chosen as the best approach to the formidable problem under consideration. Instead of blindly adopting a proposed technique and trying to force it to the problem, a more systematic study was deemed to be not only desirable but necessary. A relatively basic study of the application of finite difference methods was undertaken with the objective of developing an algorithm capable of obtaining accurate solutions to film cooling problems.
Techniques are presented for obtaining generalized finite-difference solutions to partial differential equations of the parabolic type. It is shown that the advantages of similarity in the solution of similar problems are generally not lost if the solution to the original partial differential equations is effected in the physical plane by finite-difference methods. The analysis results in a considerable saving in computational effort in the solution of both similar and nonsimilar problems. Several examples, including both the heat-conduction equation and the boundary-layer equations, are given. The analysis also provides a practical means of estimating the accuracy of finite-difference solutions to parabolic equations.
Feasibility of using film cooling as alternate thermal protection system for spacecraft atmospheric reentry
Heat flux dependence and directional effect of thermal contact resistance for interface between dissimilar metals
Mathematical model of macroscopic elastic contact between mating members for predicting thermal contact resistance in vacuum environment
Thermal contact resistance in vacuum environment using model predictions
Thermal contact resistance in vacuum environment predicted, using constriction model
Macroscopic constriction influence on thermal contact resistance in vacuum environment
Thermal contact resistance in vacuum environment predicted, using constriction model