TY - JOUR
T1 - Existence and a priori bounds for steady stagnation flow toward a stretching cylinder
AU - Mastroberardino, Antonio
AU - Paullet, Joseph E.
PY - 2010/5/15
Y1 - 2010/5/15
N2 - We investigate the nonlinear boundary value problem (BVP) that is derived from a similarity transformation of the Navier-Stokes equations governing fluid flow toward a stretching permeable cylinder. Existence of a solution is proven for all values of the Reynolds number and for both suction and injection, and uniqueness results are obtained in the case of a monotonic solution. A priori bounds on the skin friction coefficient are also obtained. These bounds achieve any desired order of accuracy as the injection parameter tends to negative infinity.
AB - We investigate the nonlinear boundary value problem (BVP) that is derived from a similarity transformation of the Navier-Stokes equations governing fluid flow toward a stretching permeable cylinder. Existence of a solution is proven for all values of the Reynolds number and for both suction and injection, and uniqueness results are obtained in the case of a monotonic solution. A priori bounds on the skin friction coefficient are also obtained. These bounds achieve any desired order of accuracy as the injection parameter tends to negative infinity.
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U2 - 10.1016/j.jmaa.2009.11.044
DO - 10.1016/j.jmaa.2009.11.044
M3 - Article
AN - SCOPUS:74849108794
SN - 0022-247X
VL - 365
SP - 701
EP - 710
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -