The boundary layer equations for plane, incompressible, and steady flow are 

$$\matrix{ {u{{\partial u} \over {\partial x}} + v{{\partial u} \over {\partial y}} = - {1 \over \varrho }{{\partial p} \over {\partial x}} + v{{{\partial ^2}u} \over {\partial {y^2}}},} \cr {0 = {{\partial p} \over {\partial y}},} \cr {{{\partial u} \over {\partial x}} + {{\partial v} \over {\partial y}} = 0.} \cr }$$

Boundary Layer Theory

Nonlinear steady-state responses of longitudinally traveling functionally graded material plates in contact with liquid

Hydroelastic dynamic analysis of axially moving plates in continuous hot-dip galvanizing process

Fluid–structure interaction in partially filled liquid containers: A comparative review of numerical approaches

In modern industry, milling is an important tool when a high material removal rate is required. Chatter detection in this situation is a crucial step for improving surface quality and reducing both noise and rapid wear of the cutting tool. This paper proposes a new methodology for the chatter detection in computer numerical control milling machines. This methodology is based on vibratory signal analysis and artificial intelligence. The methodology consists of five major steps: (1) data acquisition, (2) signal processing, (3) features generation, (4) features selection and (5) classification. As chatter components occur around system resonance frequencies, a multiband resonance filtering method is proposed at the processing step. The process is then followed by envelope analysis. This allows the signal-to-noise ratio to be increased and the sensitivity of generated features to be increased. Extracted features are then ranked based on their entropy in which only best features are selected and presented to t...

Chatter detection in milling machines by neural network classification and feature selection

Vibration analysis of rectangular plates coupled with fluid

Operational modal analysis by updating autoregressive model

Towards an automatic spectral and modal identification from operational modal analysis

Three-dimensional modeling of curved structures containing and/or submerged in fluid

Hybrid method for vibration analysis of rectangular plates

L. Marcouiller

Papers

Vibration analysis of rectangular plates coupled with fluid

Operational modal analysis by updating autoregressive model

Towards an automatic spectral and modal identification from operational modal analysis

Three-dimensional modeling of curved structures containing and/or submerged in fluid

Hybrid method for vibration analysis of rectangular plates