TY - JOUR
T1 - On boundary-layer flows induced by the motion of stretching surfaces
AU - Al-Housseiny, Talal T.
AU - Stone, Howard A.
N1 - Funding Information:
The authors thank I. C. Christov and the anonymous referees for their valuable input. We also thank the National Science Foundation for partial support under Grant No. CBET-1132835. T.T.A. is supported by the National Science Foundation Graduate Research Fellowship under Grant No. DGE-0646086.
PY - 2012/9/10
Y1 - 2012/9/10
N2 - We investigate laminar boundary-layer flows due to translating, stretching, incompressible sheets. Unlike the classical problem in the literature where the mechanics of the sheet are neglected, and kinematics are prescribed, the dynamics of both the fluid and the sheet are herein coupled. Two types of stretching sheets are considered: an elastic sheet that obeys linear elasticity and a sheet that deforms as a viscous Newtonian fluid. In both cases, we find self-similar solutions to the coupled fluid/sheet system. These self-similar solutions are only valid under limiting conditions.
AB - We investigate laminar boundary-layer flows due to translating, stretching, incompressible sheets. Unlike the classical problem in the literature where the mechanics of the sheet are neglected, and kinematics are prescribed, the dynamics of both the fluid and the sheet are herein coupled. Two types of stretching sheets are considered: an elastic sheet that obeys linear elasticity and a sheet that deforms as a viscous Newtonian fluid. In both cases, we find self-similar solutions to the coupled fluid/sheet system. These self-similar solutions are only valid under limiting conditions.
KW - boundary layers
KW - flow-structure interactions
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U2 - 10.1017/jfm.2012.292
DO - 10.1017/jfm.2012.292
M3 - Article
AN - SCOPUS:84871529182
VL - 706
SP - 597
EP - 606
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
SN - 0022-1120
ER -