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Analysis of the Velocity and Pressure Fields of the Liquid Using Curvilinear Coordinates
Stejskal, Jiří ; Kozubková, Milada (referee) ; Kučera,, Radek (referee) ; Veselý, Jindřich (referee) ; Pochylý, František (advisor)
This work introduces a new method of hydraulic design of a centrifugal pump impeller. This method is based on a geometrical approach employing curvilinear coordinates that are used to formulate both the axisymmetrical flow model in a meridional shape and the final model of flow in a blade cascade taking into account the full 3D shape of the impeller blade. The solution to this model then directly provides the guidelines for shaping the impeller blade in order to suppress the secondary flows, thus increasing the impeller efficiency, which is demonstrated on a real impeller design case. The partial differential equations describing the flow in the blade cascade are numerically solved piecewise on each particular stream surface, which leads to a significant reduction of computational time.
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Analysis of the liquid flow with the trajectory of the spatial spiral shape
Klimeš, Ondřej ; Čermák, Libor (referee) ; Fialová, Simona (advisor)
This bachelor thesis deals with the expression of differential operators gradient, divergence, curl and Laplace operator in orthogonal curvilinear coordinates. The formulas for cylindrical coordinate system are derived. Further, liquid flow with a trajectory of spatial spiral shape is analyzed, for which the Navier-Stokes equations are derived. Finally, three examples of potential flow in the plane are solved in the areas described by polar and elliptical coordinates. The calculation is done numerically by the final differences method in MATLAB.
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Analysis of the liquid flow with the trajectory of the spatial spiral shape
Klimeš, Ondřej ; Čermák, Libor (referee) ; Fialová, Simona (advisor)
This bachelor thesis deals with the expression of differential operators gradient, divergence, curl and Laplace operator in orthogonal curvilinear coordinates. The formulas for cylindrical coordinate system are derived. Further, liquid flow with a trajectory of spatial spiral shape is analyzed, for which the Navier-Stokes equations are derived. Finally, three examples of potential flow in the plane are solved in the areas described by polar and elliptical coordinates. The calculation is done numerically by the final differences method in MATLAB.
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Analysis of the Velocity and Pressure Fields of the Liquid Using Curvilinear Coordinates
Stejskal, Jiří ; Kozubková, Milada (referee) ; Kučera,, Radek (referee) ; Veselý, Jindřich (referee) ; Pochylý, František (advisor)
This work introduces a new method of hydraulic design of a centrifugal pump impeller. This method is based on a geometrical approach employing curvilinear coordinates that are used to formulate both the axisymmetrical flow model in a meridional shape and the final model of flow in a blade cascade taking into account the full 3D shape of the impeller blade. The solution to this model then directly provides the guidelines for shaping the impeller blade in order to suppress the secondary flows, thus increasing the impeller efficiency, which is demonstrated on a real impeller design case. The partial differential equations describing the flow in the blade cascade are numerically solved piecewise on each particular stream surface, which leads to a significant reduction of computational time.
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