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- W2092307251 abstract "Finite-difference solutions for unsteady flows over a stationary sphere due to a step change in the free-stream velocity from U1 to U2 (0 </ 5 U1 < UZ) are obtained, from which the unsteady drag is evaluated, for Reynolds numbers, Re (based on the diameter of the sphere and the free-stream velocity U2), ranging from 0.1 to 100 over a large range of time. The history force on the sphere is determined by subtracting the quasi-steady drag from the computed total drag. The numerical result shows a complicated behavior of the history force at finite Re for both U1 = 0 and U1 > 0. It decays as t−12 for small time; it then decays as t−n (n ⩾ 2 with n = 2 for small Re) for an intermediate range of time; and it decays exponentially at large time. The numerical results are used to assess a recently developed expression for the history force for finite Re. Good overall agreement is observed for the history force between the analytical prediction and the finite-difference solution for small and intermediate time for the Re values tested." @default.
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- W2092307251 date "1993-06-01" @default.
- W2092307251 modified "2023-09-26" @default.
- W2092307251 title "History force on a sphere due to a step change in the free-stream velocity" @default.
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- W2092307251 doi "https://doi.org/10.1016/0301-9322(93)90064-2" @default.
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