%0 Journal Article %1 1978 %A Benjamin, Thomas Brooke %D 1978 %I The Royal Society %J Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences %K 76-05-fluid-mechanics-experimental-work 76d05-incompressible-navier-stokes-equations 76e07-hydrodynamic-stability-rotation 76e30-hydrodynamic-stability-nonlinear-effects %N 1696 %P 27--43 %R 10.1098/rspa.1978.0030 %T Bifurcation phenomena in steady flows of a viscous fluid II. Experiments %U https://royalsocietypublishing.org/doi/10.1098/rspa.1978.0030 %V 359 %X The experimental work is concerned with several phenomena studied theoretically in part I (Benjamin 1977). Observations on Taylor-vortex flows between cylinders of comparatively small but variable length are reported, revealing properties unexplained by older theories. The observed flows are classified as follows: (i) the primary mode which is uniquely possible at small values of the Reynolds number R, and which usually develops smoothly with increasing R; (ii) secondary modes which are possible only above a respective critical value of R, and which are shown to manifest predicted behaviour as this value is approached from above (§4). Two novel and surprising examples of (ii) are reported. A predicted hysteresis phenomenon is confirmed, relating to morphogenesis of the primary mode between two-cell and four-cell forms as the length of the annulus is varied (§5). The experimental results are discussed from a theoretical standpoint in §6.

@article{1978, abstract = {The experimental work is concerned with several phenomena studied theoretically in part I (Benjamin 1977). Observations on Taylor-vortex flows between cylinders of comparatively small but variable length are reported, revealing properties unexplained by older theories. The observed flows are classified as follows: (i) the primary mode which is uniquely possible at small values of the Reynolds number R, and which usually develops smoothly with increasing R; (ii) secondary modes which are possible only above a respective critical value of R, and which are shown to manifest predicted behaviour as this value is approached from above (§4). Two novel and surprising examples of (ii) are reported. A predicted hysteresis phenomenon is confirmed, relating to morphogenesis of the primary mode between two-cell and four-cell forms as the length of the annulus is varied (§5). The experimental results are discussed from a theoretical standpoint in §6.}, added-at = {2021-05-14T01:17:13.000+0200}, author = {Benjamin, Thomas Brooke}, biburl = {https://www.bibsonomy.org/bibtex/2efc74aaf13761ec30a0caac6d6de4606/gdmcbain}, doi = {10.1098/rspa.1978.0030}, interhash = {585ddbc9581bd9eba3df8d9bf5cefe8a}, intrahash = {efc74aaf13761ec30a0caac6d6de4606}, journal = {Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences}, keywords = {76-05-fluid-mechanics-experimental-work 76d05-incompressible-navier-stokes-equations 76e07-hydrodynamic-stability-rotation 76e30-hydrodynamic-stability-nonlinear-effects}, month = jan, number = 1696, pages = {27--43}, publisher = {The Royal Society}, timestamp = {2021-05-14T01:17:45.000+0200}, title = {Bifurcation phenomena in steady flows of a viscous fluid {II}. Experiments}, url = {https://royalsocietypublishing.org/doi/10.1098/rspa.1978.0030}, volume = 359, year = 1978 }