Various water wave problems involving an infinitely long horizontal cylinder floating on the surface water were investigated in the literature of linearized theory of water waves employing a general multipole expansio...Various water wave problems involving an infinitely long horizontal cylinder floating on the surface water were investigated in the literature of linearized theory of water waves employing a general multipole expansion for the wave potential. This expansion involves a general combination of a regular wave, a wave source, a wave dipole and a regular wave-free part. The wave-free part can be further expanded in terms of wave-free multipoles which are termed as wave-free potentials. These are singular solutions of Laplace's equation (for non-oblique waves in two dimensions) or two-dimensional Helmholz equation (for oblique waves) satisfying the free surface condition and decaying rapidly away from the point of singularity. The method of constructing these wave-free potentials is presented here in a systematic manner for a number of situations such as deep water with a free surface, neglecting or taking into account the effect of surface tension, or with an ice-cover modelled as a thin elastic plate floating on water.展开更多
There is a large class of problems in the field of fluid structure interaction where higher-order boundary conditions arise for a second-order partial differential equation. Various methods are being used to tackle th...There is a large class of problems in the field of fluid structure interaction where higher-order boundary conditions arise for a second-order partial differential equation. Various methods are being used to tackle these kind of mixed boundary-value problems associated with the Laplace’s equation （or Helmholtz equation） arising in the study of waves propagating through solids or fluids. One of the widely used methods in wave structure interaction is the multipole expansion method. This expansion involves a general combination of a regular wave, a wave source, a wave dipole and a regular wave-free part. The wave-free part can be further expanded in terms of wave-free multipoles which are termed as wave-free potentials. These are singular solutions of Laplace’s equation or two-dimensional Helmholz equation. Construction of these wave-free potentials and multipoles are presented here in a systematic manner for a number of situations such as two-dimensional non-oblique and oblique waves, three dimensional waves in two-layer fluid with free surface condition with higher order partial derivative are considered. In particular, these are obtained taking into account of the effect of the presence of surface tension at the free surface and also in the presence of an ice-cover modelled as a thin elastic plate. Also for limiting case, it can be shown that the multipoles and wave-free potential functions go over to the single layer multipoles and wave-free potential.展开更多
Coronary angiography is considered to be the gold standard in the morphological evaluation of coronary artery stenosis. The morphological assessment of the severity of a coronary lesion is very subjective. Thus, the i...Coronary angiography is considered to be the gold standard in the morphological evaluation of coronary artery stenosis. The morphological assessment of the severity of a coronary lesion is very subjective. Thus, the invasive fractional flow reserve(FFR) measurement represents the current standard for estimation of the hemodynamic significance of coronary artery stenosis. The FFR-guided revascularization strategy was initially classified as a Class-IA-recommendation in the 2014 European Society of Cardiology/European Association for Cardio-Thoracic Surgery guidelines on myocardial revascularization. Both the Deferral vs Performance of Percutaneous Coronary Intervention of Functionally Non-Significant Coronary Stenosis and Flow Reserve vs Angiography for Multivessel Evaluation studies showed no treatment advantage for hemodynamically insignificant stenoses. With the help of FFR(and targeted interventions), clinical results could be improved; however, the use in clinical practice is still limited due to the need of adenosine administration and a significant prolongation of the length of the procedure. Instantaneous wave-free ratio(iFR~) is a new innovative approach for the determination of the hemodynamic significance of coronary stenosis, which can be obtained at rest without the use of vasodilators. Regarding the periprocedural complications as well as prognosis, iFR~ showed non-inferiority to FFR in the SWEDEHEART and DEFINE-FLAIR trials. Furthermore, iFR~, enhanced by iFR~-pullback, provides the possibility to display the iFR~-change over the course of the vessel to create a hemodynamic map.展开更多
In this paper, a method to construct oblique wave-free potentials in the linearised theory of water waves for water with uniform finite depth is presented in a systematic manner. The water has either a free surface or...In this paper, a method to construct oblique wave-free potentials in the linearised theory of water waves for water with uniform finite depth is presented in a systematic manner. The water has either a free surface or an ice-cover modelled as a thin elastic plate. For the case of free surface, the effect of surface tension may be neglected or taken into account. Here, the wave-free potentials are singular solutions of the modified Helmholtz equation, having singularity at a point in the fluid region and they satisfy the conditions at the upper surface and the bottom of water region and decay rapidly away from the point of singularity. These are useful in obtaining solutions to oblique water wave problems involving bodies with circular cross-sections such as long horizontal cylinders submerged or half-immersed in water of uniform fmite depth with a free surface or an ice-cover modelled as a floating elastic plate. Finally, the forms of the upper surface related to the wave-free potentials constructed here are depicted graphically in a number of figures to visualize the wave motion. The results for non-oblique wave-free potentials and the upper surface wave-free potentials are obtained. The wave-free potentials constructed here will be useful in the mathematical study of water wave problems involving infinitely long horizontal cylinders, either half-immersed or completely immersed in water.展开更多
听觉系统各组成部分的机械损伤是爆炸后造成听力损失的主要原因,强脉冲声致听觉损害风险准则仍然存在许多争议,例如:指标选择冲量还是超压峰值,正压持续时间是否重要等。本研究基于自由场实爆条件,设计并搭建了大动物爆炸致伤平台,探究...听觉系统各组成部分的机械损伤是爆炸后造成听力损失的主要原因,强脉冲声致听觉损害风险准则仍然存在许多争议,例如:指标选择冲量还是超压峰值,正压持续时间是否重要等。本研究基于自由场实爆条件,设计并搭建了大动物爆炸致伤平台,探究了不同爆炸参数对鼓膜破裂的影响规律,并建立了基于自由场超压峰值和正压持续时间的鼓膜创伤量效关系。通过笔形压力传感器测量自由场超压,通过Friedlander公式拟合超压时程曲线,确定冲击波超压峰值和正压持续时间,并对时域中记录的波形进行归一化能量频谱分析,以确定冲击波在频域上的信号能量分布。对爆炸后的小型猪进行解剖,记录不同爆炸参数下鼓膜创伤程度。以超压峰值和正压持续时间为自变量,对实验数据进行二元逻辑回归分析,并给出鼓膜破裂风险曲线。研究发现,当自由场超压峰值低于170 kPa时,鼓膜无明显损伤;当自由场超压峰值高于237 kPa时,部分鼓膜出现不同程度的破裂和充血。距爆心越近,超压峰值越大,但鼓膜创伤的严重程度并未随之单调增加。在8.0 kg TNT当量的爆炸实验中,鼓膜破裂的严重程度随爆心距的减小呈现先提高再降低的趋势。通过对冲击波载荷特征的分析可知,距爆心越近,正压持续时间越短,高频段能量占比相对更大,小型猪鼓膜破裂的概率可能反而降低,此时仍然出现显著的听力损失和耳蜗损伤。鼓膜作为通过振动传递声信号的黏弹性薄膜结构,其动力学响应可能与载荷频率成分密切相关。除了超压峰值,冲击波波形频谱分布对鼓膜破裂程度影响显著。展开更多
基金a NASI Senior Scientist Fellowship to BNM and a DST Research Project no. SR/S4/MS:521/08
文摘Various water wave problems involving an infinitely long horizontal cylinder floating on the surface water were investigated in the literature of linearized theory of water waves employing a general multipole expansion for the wave potential. This expansion involves a general combination of a regular wave, a wave source, a wave dipole and a regular wave-free part. The wave-free part can be further expanded in terms of wave-free multipoles which are termed as wave-free potentials. These are singular solutions of Laplace's equation (for non-oblique waves in two dimensions) or two-dimensional Helmholz equation (for oblique waves) satisfying the free surface condition and decaying rapidly away from the point of singularity. The method of constructing these wave-free potentials is presented here in a systematic manner for a number of situations such as deep water with a free surface, neglecting or taking into account the effect of surface tension, or with an ice-cover modelled as a thin elastic plate floating on water.
文摘There is a large class of problems in the field of fluid structure interaction where higher-order boundary conditions arise for a second-order partial differential equation. Various methods are being used to tackle these kind of mixed boundary-value problems associated with the Laplace’s equation （or Helmholtz equation） arising in the study of waves propagating through solids or fluids. One of the widely used methods in wave structure interaction is the multipole expansion method. This expansion involves a general combination of a regular wave, a wave source, a wave dipole and a regular wave-free part. The wave-free part can be further expanded in terms of wave-free multipoles which are termed as wave-free potentials. These are singular solutions of Laplace’s equation or two-dimensional Helmholz equation. Construction of these wave-free potentials and multipoles are presented here in a systematic manner for a number of situations such as two-dimensional non-oblique and oblique waves, three dimensional waves in two-layer fluid with free surface condition with higher order partial derivative are considered. In particular, these are obtained taking into account of the effect of the presence of surface tension at the free surface and also in the presence of an ice-cover modelled as a thin elastic plate. Also for limiting case, it can be shown that the multipoles and wave-free potential functions go over to the single layer multipoles and wave-free potential.
文摘Coronary angiography is considered to be the gold standard in the morphological evaluation of coronary artery stenosis. The morphological assessment of the severity of a coronary lesion is very subjective. Thus, the invasive fractional flow reserve(FFR) measurement represents the current standard for estimation of the hemodynamic significance of coronary artery stenosis. The FFR-guided revascularization strategy was initially classified as a Class-IA-recommendation in the 2014 European Society of Cardiology/European Association for Cardio-Thoracic Surgery guidelines on myocardial revascularization. Both the Deferral vs Performance of Percutaneous Coronary Intervention of Functionally Non-Significant Coronary Stenosis and Flow Reserve vs Angiography for Multivessel Evaluation studies showed no treatment advantage for hemodynamically insignificant stenoses. With the help of FFR(and targeted interventions), clinical results could be improved; however, the use in clinical practice is still limited due to the need of adenosine administration and a significant prolongation of the length of the procedure. Instantaneous wave-free ratio(iFR~) is a new innovative approach for the determination of the hemodynamic significance of coronary stenosis, which can be obtained at rest without the use of vasodilators. Regarding the periprocedural complications as well as prognosis, iFR~ showed non-inferiority to FFR in the SWEDEHEART and DEFINE-FLAIR trials. Furthermore, iFR~, enhanced by iFR~-pullback, provides the possibility to display the iFR~-change over the course of the vessel to create a hemodynamic map.
文摘In this paper, a method to construct oblique wave-free potentials in the linearised theory of water waves for water with uniform finite depth is presented in a systematic manner. The water has either a free surface or an ice-cover modelled as a thin elastic plate. For the case of free surface, the effect of surface tension may be neglected or taken into account. Here, the wave-free potentials are singular solutions of the modified Helmholtz equation, having singularity at a point in the fluid region and they satisfy the conditions at the upper surface and the bottom of water region and decay rapidly away from the point of singularity. These are useful in obtaining solutions to oblique water wave problems involving bodies with circular cross-sections such as long horizontal cylinders submerged or half-immersed in water of uniform fmite depth with a free surface or an ice-cover modelled as a floating elastic plate. Finally, the forms of the upper surface related to the wave-free potentials constructed here are depicted graphically in a number of figures to visualize the wave motion. The results for non-oblique wave-free potentials and the upper surface wave-free potentials are obtained. The wave-free potentials constructed here will be useful in the mathematical study of water wave problems involving infinitely long horizontal cylinders, either half-immersed or completely immersed in water.
文摘听觉系统各组成部分的机械损伤是爆炸后造成听力损失的主要原因,强脉冲声致听觉损害风险准则仍然存在许多争议,例如:指标选择冲量还是超压峰值,正压持续时间是否重要等。本研究基于自由场实爆条件,设计并搭建了大动物爆炸致伤平台,探究了不同爆炸参数对鼓膜破裂的影响规律,并建立了基于自由场超压峰值和正压持续时间的鼓膜创伤量效关系。通过笔形压力传感器测量自由场超压,通过Friedlander公式拟合超压时程曲线,确定冲击波超压峰值和正压持续时间,并对时域中记录的波形进行归一化能量频谱分析,以确定冲击波在频域上的信号能量分布。对爆炸后的小型猪进行解剖,记录不同爆炸参数下鼓膜创伤程度。以超压峰值和正压持续时间为自变量,对实验数据进行二元逻辑回归分析,并给出鼓膜破裂风险曲线。研究发现,当自由场超压峰值低于170 kPa时,鼓膜无明显损伤;当自由场超压峰值高于237 kPa时,部分鼓膜出现不同程度的破裂和充血。距爆心越近,超压峰值越大,但鼓膜创伤的严重程度并未随之单调增加。在8.0 kg TNT当量的爆炸实验中,鼓膜破裂的严重程度随爆心距的减小呈现先提高再降低的趋势。通过对冲击波载荷特征的分析可知,距爆心越近,正压持续时间越短,高频段能量占比相对更大,小型猪鼓膜破裂的概率可能反而降低,此时仍然出现显著的听力损失和耳蜗损伤。鼓膜作为通过振动传递声信号的黏弹性薄膜结构,其动力学响应可能与载荷频率成分密切相关。除了超压峰值,冲击波波形频谱分布对鼓膜破裂程度影响显著。
