GENERATION OF TWO-DIMENSIONAL UNSTEADY MOTION IN A VISCOUS INCOMPRESSIBLE FLUID OF FINITE DEPTH

被引：0

作者：

Kundu, P. ^{[1
]}

Mandal, B. N. ^{[2
]}

机构：

[1] Jadavpur Univ, Dept Math, Kolkata 700032, India

[2] Indian Stat Inst, Kolkata 700108, India

来源：

JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS | 2022年 / 63卷 / 01期

关键词：

unsteady motion; viscous fluid; Laplace and Fourier transforms; method of steepest descent; free surface depression; CAPILLARY-GRAVITY WAVES;

D O I：

10.1134/S0021894422010047

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The problem of generation of two-dimensional unsteady motion in a viscous incompressible fluid of finite depth is investigated here. The motion is generated due to initial disturbances in the form of prescribed surface pressure or displacement at the free surface. The Fourier transform with respect to space and the Laplace transform with respect to time are used to obtain the form of the free surface in terms of multiple integrals. Finally, an asymptotic form of the free surface is obtained using the method of steepest descent.

引用

页码：17 / 25

页数：9

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