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The effect of support position and turbulence intensity on the flow near the surface of a sphere

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Abstract

The flow near the surface of a sphere was studied, using a flow visualization technique, for Reynolds numbers from about 4×104 to 2.5×105. It was concluded that the presence of a crossflow support substantially disturbed the flow near the surface of the sphere, especially at supercritical Reynolds numbers. Photographs of the flow patterns around spheres with crossflow supports, and with rear supports, have been presented. Also, measurements were made which show the way in which the turbulence intensity of the free stream influenced the angle of separation at various Reynolds numbers.

Zusammenfassung

Die Strömung nahe der Oberfläche einer Kugel wurde untersucht, indem die Stromlinien sichtbar gemacht wurden. Die Untersuchungen wurden durchgeführt für Reynoldszahlen von etwa 4×104 bis 2,5×105. Die Ergebnisse zeigten, daß die Anwesenheit einer Halterung quer zur Strömung diese in der Nähe der Kugeloberfläche wesentlich störte, besonders bei überkritischen Reynoldszahlen. Photographien des Strömungsverlaufes um die Kugel sowohl mit einer Halterung quer zur Stromrichtung als auch mit einer anderen hinter der Kugel werden gezeigt. Außerdem wurden Messungen durchgeführt, die zeigen, in welcher Weise die Intensität der Turbulenz der freien Strömung den Ablösungswinkel bei verschiedenen Reynoldszahlen beeinflußt.

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Abbreviations

C D :

drag coefficient (total drag/dynamic head × projected area)

C Dc :

critical drag coefficient. IfC D<D Dc, the flow pattern is considered subcritical.

h :

distance (s. Fig. 1)

Nu :

Nusselt number

R :

radius of the sphere

Re :

Reynolds number

Re c :

Reynolds number at whichC D=C Dc

Tu :

turbulence intensity component in the direction of the freestream flow

θ s :

average angle from the stagnation point to the separation circle measured in the horizontal plane

θ sc :

critical separation angle. If θs<θsc, the flow pattern is considered subcritical. In this investigation θsc ≡ 92°

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  1. Minneapolis, Minnesota, USA

    G. D. Raithby & E. R. G. Eckert

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  1. G. D. Raithby
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  2. E. R. G. Eckert
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Raithby, G.D., Eckert, E.R.G. The effect of support position and turbulence intensity on the flow near the surface of a sphere. Wärme- und Stoffübertragung 1, 87–94 (1968). https://doi.org/10.1007/BF00750790

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