@article{Banerjee_Kanjilal_2014, title={Influence of surface tension on two fluids shearing instability}, volume={6}, url={https://www.papersinphysics.org/papersinphysics/article/view/186}, DOI={10.4279/pip.060006}, abstractNote={<p>Using extended Layzer’s potential flow model, we investigate the <span style="font-size: 10px;">effects of surface tension on the growth of the bubble and spike </span><span style="font-size: 10px;">in combined Rayleigh-Taylor and Kelvin-Helmholtz instability. The </span><span style="font-size: 10px;">nonlinear asymptotic solutions are obtained analytically for the </span><span style="font-size: 10px;">velocity and curvature of the bubble and spike tip. We find that </span><span style="font-size: 10px;">the surface tension decreases the velocity but does not affect the </span><span style="font-size: 10px;">curvature, provided surface tension is greater than a critical </span><span style="font-size: 10px;">value. For a certain condition, we observe that surface tension </span><span style="font-size: 10px;">stabilizes the motion. Any perturbation, whatever its </span><span style="font-size: 10px;">magnitude, results stable with nonlinear oscillations. The </span><span style="font-size: 10px;">nonlinear oscillations depend on surface tension and relative </span><span style="font-size: 10px;">velocity shear of the two fluids.</span></p><p> </p><p><strong>Received:</strong> 20 March 2014, <strong> </strong><strong>Accepted:</strong> 7 August 2014; <strong>Edited by:</strong> A. Marti; <strong>DOI:</strong>http://dx.doi.org/10.4279/PIP.060006</p><p><strong>Cite as:</strong> R Banerjee, S Kanjilal, Papers in Physics 6, 060006 (2014)</p><p> </p>}, journal={Papers in Physics}, author={Banerjee, Rahul and Kanjilal, S.}, year={2014}, month={Nov.}, pages={060006} }