TY - JOUR

T1 - Unsteady free surface flow above a moving circular cylinder

AU - Kostikov, V. K.

AU - Makarenko, N. I.

PY - 2018/10/1

Y1 - 2018/10/1

N2 - A problem on non-stationary free surface flow of infinitely deep ideal fluid generated by the motion of a submerged body is considered. The water wave problem is reduced to the integral–differential system of equations for the functions defining free surface shape, normal, and tangential velocity components on the free boundary. Small-time asymptotic solution is constructed for the case of circular cylinder that moves with constant acceleration from rest. The role of non-linearity is clarified by analysis of this approximate solution which describes the formation of added mass layers, splash jets, and finite amplitude surface waves.

AB - A problem on non-stationary free surface flow of infinitely deep ideal fluid generated by the motion of a submerged body is considered. The water wave problem is reduced to the integral–differential system of equations for the functions defining free surface shape, normal, and tangential velocity components on the free boundary. Small-time asymptotic solution is constructed for the case of circular cylinder that moves with constant acceleration from rest. The role of non-linearity is clarified by analysis of this approximate solution which describes the formation of added mass layers, splash jets, and finite amplitude surface waves.

KW - Circular cylinder

KW - Free surface flow

KW - Small-time asymptotics

KW - SUBMERGED CYLINDER

KW - WATER ENTRY

KW - IMPULSIVE MOTION

KW - EXIT

UR - http://www.scopus.com/inward/record.url?scp=85047424233&partnerID=8YFLogxK

U2 - 10.1007/s10665-018-9962-x

DO - 10.1007/s10665-018-9962-x

M3 - Article

AN - SCOPUS:85047424233

VL - 112

SP - 1

EP - 16

JO - Journal of Engineering Mathematics

JF - Journal of Engineering Mathematics

SN - 0022-0833

IS - 1

ER -