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- W2022381712 abstract "A variable property stream function is combined with a similarity variable transform to create a new class of variable property similarity transforms. The exact fluid flow solutions that are obtained with the new similarity transforms will be identical to the normally formulated similarity solutions. The utility of the new transforms will be for developing approximate analytical solutions. This is because the reformulation splits the normal transform into a slowly varying temperature functional and the rapidly temperature varying mass density. By assuming the functional is temperature invariant, approximate analytical solutions can be obtained by combining this approximate functional with a mass density profile approximation. The new approximate velocity solutions show the spatial variation behavior one would expect for a system with a temperature gradient present, in contrast to existing approximate methods that are based on average-property approximations. The new approximate analytical solutions, therefore, provide valuable insights into the expected thermal behavior and dependencies of the fluid system that cannot be obtained with exact numerical solutions or existing approximate methods. In addition, the approximate analytical solutions provide a straightforward path to the development of approximate thermal flow stability criteria. To demonstrate the utility of the new transform, the present study applies the new variable property similarity transform to the case of axisymmetric fluid flow against a heated disk." @default.
- W2022381712 created "2016-06-24" @default.
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- W2022381712 date "1998-12-01" @default.
- W2022381712 modified "2023-09-27" @default.
- W2022381712 title "Variable property similarity transform: Application to axisymmetric fluid flow against a heated disk" @default.
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- W2022381712 doi "https://doi.org/10.1103/physreve.58.7402" @default.
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