This paper presents a new method to numerically solve the viscous incompress- ible steady flow in a channel with non-uniform section by use of the equations of total pressure and velocity.This method is to solve the e...This paper presents a new method to numerically solve the viscous incompress- ible steady flow in a channel with non-uniform section by use of the equations of total pressure and velocity.This method is to solve the equations of total pressure and velocity in the non-or- thogonai curvilinear mesh.The advantages of this method is discussed.展开更多
The Navier-Stokes equations for incompressible fluid flows with impervious boundary and free surface are analyzed by means of a perturbation procedure involving dimensionless variables and a dimensionless perturbation...The Navier-Stokes equations for incompressible fluid flows with impervious boundary and free surface are analyzed by means of a perturbation procedure involving dimensionless variables and a dimensionless perturbation parameter which is composed of kinematic viscosity of fluid, the acceleration of gravity and a characteristic length. The new dimensionless variables are introduced into the equation system. In addition, the perturbation parameter is introduced into terms for deriving approximations systems of different orders. Such systems are obtained by equating coefficients of like powers of perturbation parameter for the successive coefficients in the series. In these systems several terms are analyzed with regards to size and significance. Based on those systems, suitable solutions of NS equations can be found for different boundary conditions. For example, a relation for stationary channel flow is obtained as approximation to the NS equations of the lowest order after transformation back to dimensional variables.展开更多
文摘This paper presents a new method to numerically solve the viscous incompress- ible steady flow in a channel with non-uniform section by use of the equations of total pressure and velocity.This method is to solve the equations of total pressure and velocity in the non-or- thogonai curvilinear mesh.The advantages of this method is discussed.
文摘The Navier-Stokes equations for incompressible fluid flows with impervious boundary and free surface are analyzed by means of a perturbation procedure involving dimensionless variables and a dimensionless perturbation parameter which is composed of kinematic viscosity of fluid, the acceleration of gravity and a characteristic length. The new dimensionless variables are introduced into the equation system. In addition, the perturbation parameter is introduced into terms for deriving approximations systems of different orders. Such systems are obtained by equating coefficients of like powers of perturbation parameter for the successive coefficients in the series. In these systems several terms are analyzed with regards to size and significance. Based on those systems, suitable solutions of NS equations can be found for different boundary conditions. For example, a relation for stationary channel flow is obtained as approximation to the NS equations of the lowest order after transformation back to dimensional variables.
