scholarly journals Study on Waves Generated by a Planing Flat Plate-III : Numerical Computation of Waves Generated by Two Dimensional Pressure Disturbance

1994 ◽  
Vol 90 (0) ◽  
pp. 223-232
Author(s):  
Shigeaki SHIOTANI
Keyword(s):  
Flat Plate ◽  
Numerical Computation ◽  
Two Dimensional ◽  
Pressure Disturbance

Numerical Computation of Nonstationary Aerodynamics of Flat Plate Cascades in Compressible Flow

1976 ◽  
Vol 98 (2) ◽  
pp. 165-170 ◽  
Author(s):  
R. H. Ni ◽  
F. Sisto
Keyword(s):  
Flat Plate ◽  
Numerical Computation ◽  
Compressible Flow ◽  
Computational Domain ◽  
Two Dimensional ◽  
Order Of Accuracy ◽  
Fluid Properties ◽  
Time Marching ◽  
Interblade Phase Angle ◽  
Good Agreement

The “time marching” technique is successfully applied to the numerical computation of the nonstationary aerodynamics of a flat plate cascade for compressible flow of either subsonic or supersonic nature. The unsteady perturbation amplitudes of fluid properties are used as the dependent variables so that the computational domain can be reduced to a two-dimensional channel guided by two adjacent blades for any interblade phase angle. A new method of handling the boundary condition is developed in which the order of accuracy for the boundary points will be the same as the interior points. The wake region behind the trailing edge of each blade is treated as a “slip plane” as done in two-dimensional steady state supersonic flow. Results are in good agreement with existing analytical solutions.

The magneto-hydrodynamic boundary layer in the two-dimensional steady flow past a semi-infinite flat plate II. The Falkner-Skan problem

1963 ◽  
Vol 273 (1355) ◽  
pp. 509-517 ◽  
Keyword(s):  
Flat Plate ◽  
Iterative Procedure ◽  
Hypergeometric Functions ◽  
Close Agreement ◽  
Adverse Pressure Gradient ◽  
Iterative Solution ◽  
Two Dimensional ◽  
Confluent Hypergeometric Functions ◽  
First Case ◽  
Hydrodynamic Boundary Layer

The problem investigated is the flow of a viscous liquid past a semi-infinite flat plate against an adverse pressure gradient. The method used is an iterative method suggested in a paper by Weyl. To start the iterative procedure a function is chosen which satisfies some of the boundary conditions and by using this function the first iterative solution has been obtained analytically in terms of confluent hypergeometric functions. Two different starting functions have been considered. In the first case it has been found possible to compare the results obtained with the well-known Hartree numerical solution and even at the first iteration close agreement is achieved. In the second case, the first iterative solution behaves correctly at infinity but the agreement with Hartree ’s solution is not as good as it is in the first case.

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