厦门大学学报（自然科学版）2018，Vol.57Issue(1)：124-129,6.DOI:10.6043/j.issn.0438-0479.201705031
物体在不可压缩流场中所受的流体动力表达式
On the Fluid Dynamic Force of a Solid Body Moving in the Incompressible Flow
摘要
Abstract
For unifying the expression of the fluid dynamic force in the viscous and inviscid incompressible flow field,the expression is re-deduced with the slip boundary condition is permitted.The fluid dynamic force is expressed as the algebraic sum of the integral of the flow stress on the infinity boundary and the integral of the change rate of the flow field momentum based on the momentum theorem.Then,the derivative moment transformation (DMT)is adopted to decompose these two integrals,then decomposition results are combined and simplified into the sum of the integral of the first vortex moment in the flow field and the integral of the tangent velocity moment on the solid surface based on the asymptotic property of the velocity at infinity,and the new expression of the fluid dynamic force is obtained.Theoretical analysis and the example show that this new expression of the fluid dynamic force not only converges to the Lamb's expression in the inviscid flow,but also is consistent with the theory of vortical dynamics in the viscous flow.关键词
飞艇/非定常气动力/不可压缩流场/涡动力学Key words
airship/unsteady state hydrodynamic force/incompressible flow field/vortical dynamics分类
数理科学引用本文复制引用
林新武,林献武,兰维瑶..物体在不可压缩流场中所受的流体动力表达式[J].厦门大学学报（自然科学版）,2018,57(1):124-129,6.基金项目
国家自然科学基金(11072028,61273199) （11072028,61273199）
福建省自然科学基金(2016J01030) （2016J01030）
