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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
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.
Detailed record
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.
Detailed record

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