Viscous Force Constant for a Closed Cylinder

by: S Broersma

The Journal of Chemical Physics, Vol. 32, No. 6. (1960), pp. 1632-1635.

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Abstract

The viscous force constant of a moving cylinder closed at the ends has been calculated including first-order effects in width (2b)/length (2a). Experimental results, obtained for macroscopic models, are in essential agreement with this. For a/b>20 the discrepancy is about 8%, for shorter cylinders near 20%. With the force on a cylinder moving sideways given by F=8pi eta av/(sigma—gamma), where sigma=log 2a/b, it is found that gamma(sigma>2)=0.35–4(1/sigma—0.43)2±0.25. For a translation lengthwise, with F=4pietaav/(sigma—gamma), the relation gamma(sigma>2)=1.30–8(1/sigma—0.30)2±0.25 holds.

@article{broersma60b, abstract = {The viscous force constant of a moving cylinder closed at the ends has been calculated including first-order effects in width (2b)/length (2a). Experimental results, obtained for macroscopic models, are in essential agreement with this. For a/b>20 the discrepancy is about 8\%, for shorter cylinders near 20\%. With the force on a cylinder moving sideways given by F=8pi eta av/(sigma—gamma), where sigma=log 2a/b, it is found that gamma(sigma>2)=0.35–4(1/sigma—0.43)2±0.25. For a translation lengthwise, with F=4pietaav/(sigma—gamma), the relation gamma(sigma>2)=1.30–8(1/sigma—0.30)2±0.25 holds.}, author = {Broersma, S. }, citeulike-article-id = {1979459}, journal = {The Journal of Chemical Physics}, keywords = {diffusion, fluid-mechanics, rods, rotation, theory}, number = {6}, pages = {1632--1635}, posted-at = {2007-11-25 15:27:06}, priority = {2}, publisher = {AIP}, title = {Viscous Force Constant for a Closed Cylinder}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=JCPSA6000032000006001632000001\&idtype=cvips\&gifs=yes}, volume = {32}, year = {1960} }

RIS record

TY - JOUR ID - broersma60b L3 - citeulike-article-id:1979459 TI - Viscous Force Constant for a Closed Cylinder JF - The Journal of Chemical Physics VL - 32 IS - 6 SP - 1632 EP - 1635 PB - AIP N2 - The viscous force constant of a moving cylinder closed at the ends has been calculated including first-order effects in width (2b)/length (2a). Experimental results, obtained for macroscopic models, are in essential agreement with this. For a/b>20 the discrepancy is about 8%, for shorter cylinders near 20%. With the force on a cylinder moving sideways given by F=8pi eta av/(sigma—gamma), where sigma=log 2a/b, it is found that gamma(sigma>2)=0.35–4(1/sigma—0.43)2±0.25. For a translation lengthwise, with F=4pietaav/(sigma—gamma), the relation gamma(sigma>2)=1.30–8(1/sigma—0.30)2±0.25 holds. KW - diffusion KW - fluid-mechanics KW - rods KW - rotation KW - theory AU - Broersma, S PY - 1960/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JCPSA6000032000006001632000001&idtype=cvips&gifs=yes ER -

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