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Finite-wing-analogy formula for compressibility correction to pressure coefficient of an underwater vehicle model at low Mach number
Wang Y(王宇); Liu Y(刘毅); Zhou ZT(周志腾); Wang SZ(王士召)
通讯作者Wang, Shizhao([email protected])
发表期刊PHYSICS OF FLUIDS
2023
卷号35期号:1页码:20
ISSN1070-6631
摘要Wind tunnels are usually used to investigate the flows and forces associated with underwater vehicles when free-surface effects can be ignored. However, because of the large differences between air and water in density and viscosity, the freestream Mach number in a wind tunnel is much higher than that in a water tunnel or towing tank at the same Reynolds number. Therefore, compressibility correction is required for accurate measurement compatibility between wind tunnels and water tunnels or towing tanks. In the study reported here, the flows and forces associated with an underwater vehicle model at different Mach numbers were investigated by solving the Navier-Stokes equations for compressible flow numerically as virtual-wind tunnel experiments. The freestream Mach number Ma varies from 0.004 to 0.5. The distribution of the pressure coefficient on the hull and the effects of Ma on the peaks of the pressure coefficient are discussed in detail. The performances of the Prandtl-Glauert rule, the Karman-Tsien rule, and the Laitone rule for compressibility correction to the pressure coefficient of underwater vehicles are assessed. Defining the average correction factor with larger values for better correction effect, the values for these three compressibility correction formulas are 0.51, 0.38, and 0.23, respectively. A finite-wing-analogy formula to improve the compressibility correction to the pressure coefficient at low Ma is proposed. Inspired by the finite-wing correction to the lift slope of airfoils, the proposed formula offers good convergence of the pressure coefficient and highly accurate compressibility correction with an average correction factor of 0.84.
DOI10.1063/5.0129637
收录类别SCI ; EI
语种英语
WOS记录号WOS:000911212900004
关键词[WOS]TURBULENT SHEAR-LAYER ; MANEUVERING DERIVATIVES ; COMPACT VORTICITY ; FLOW ; BODY ; WAKE ; SUBOFF ; STATE ; FIELD
WOS研究方向Mechanics ; Physics
WOS类目Mechanics ; Physics, Fluids & Plasmas
资助项目NSFC Basic Science Center Program for Multiscale Problems in Nonlinear Mechanics[11988102] ; National Natural Science Foundation of China[12102439] ; National Natural Science Foundation of China[11922214] ; National Natural Science Foundation of China[91952301] ; Pilot National Laboratory for Marine Science and Technology (Qingdao)[2021WHZZB1400]
项目资助者NSFC Basic Science Center Program for Multiscale Problems in Nonlinear Mechanics ; National Natural Science Foundation of China ; Pilot National Laboratory for Marine Science and Technology (Qingdao)
论文分区一类/力学重要期刊
力学所作者排名1
RpAuthorWang, Shizhao
引用统计
被引频次:5[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://dspace.imech.ac.cn/handle/311007/91517
专题非线性力学国家重点实验室
推荐引用方式
GB/T 7714
Wang Y,Liu Y,Zhou ZT,et al. Finite-wing-analogy formula for compressibility correction to pressure coefficient of an underwater vehicle model at low Mach number[J]. PHYSICS OF FLUIDS,2023,35,1,:20.Rp_Au:Wang, Shizhao
APA 王宇,刘毅,周志腾,&王士召.(2023).Finite-wing-analogy formula for compressibility correction to pressure coefficient of an underwater vehicle model at low Mach number.PHYSICS OF FLUIDS,35(1),20.
MLA 王宇,et al."Finite-wing-analogy formula for compressibility correction to pressure coefficient of an underwater vehicle model at low Mach number".PHYSICS OF FLUIDS 35.1(2023):20.
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