What question did this study set out to answer?

Formulate an analytical expression predicting the functional dependence of a sphere's drag coefficient across a broad range of Reynolds numbers.

August 1, 1970The Physics of Fluids

Functional Dependence of Drag Coefficient of a Sphere on Reynolds Number

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FAFarid F. AbrahamGoethe University Frankfurt

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Implication

Theoretical analysis demonstrates an accurate expression for sphere drag across Reynolds numbers up to 5000, indicating close alignment with experimental data.

Key Points

Formulate an analytical expression predicting the functional dependence of a sphere's drag coefficient across a broad range of Reynolds numbers.
Derived a theoretical expression relating drag coefficient (C) to Reynolds number (R): C = C0[1 + δ0/(R)^(1/2)]^2.
Calibrated the relationship with fixed parameters defined by C0δ0^2 = 24 and δ0 = 9.06.
Compared the resulting functional predictions against empirical measurements across flow conditions.
The derived formulation demonstrates close agreement with experimental observations over a wide range of flow regimes (0 ≤ R ≲ 5000).

Cite This Study

Farid F. Abraham (1970) studied this question.

synapsesocial.com/papers/69d8362905ee2ba81dbef39c https://doi.org/10.1063/1.1693218

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Implication

Theoretical analysis demonstrates an accurate expression for sphere drag across Reynolds numbers up to 5000, indicating close alignment with experimental data.

Functional Dependence of Drag Coefficient of a Sphere on Reynolds Number

Discussion

Member takes

Implication

Key Points

Cite This Study

Functional Dependence of Drag Coefficient of a Sphere on Reynolds Number

Discussion

Member takes

Implication

Key Points

Cite This Study

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