Impossibility of Three Confluent Shocks in Two-Dimensional Irrotational Flow

1967 ◽  
Vol 10 (1) ◽  
pp. 21 ◽  
Author(s):  
B. R. Breed
Keyword(s):  
Two Dimensional ◽  
Irrotational Flow

Irrotational flow past bodies close to a plane surface

1971 ◽  
Vol 50 (3) ◽  
pp. 481-491 ◽  
Author(s):  
E. O. Tuck
Keyword(s):  
Asymptotic Expansion ◽  
Numerical Computation ◽  
Potential Flow ◽  
Close Agreement ◽  
Plane Surface ◽  
Three Dimensional ◽  
Ground Surface ◽  
Two Dimensional ◽  
General Shape ◽  
Irrotational Flow

A theroetical analysis is given for potential flow over, around and under a vehicle of general shape moving close to a plane ground surface. Solutions are given both in the form of a small-gap asymptotic expansion and a direct numerical computation, with close agreement between the two for two-dimensional flows with and without circulation. Some results for three-dimensional bodies are discussed.

On the Irrotational Flow Around a Horizontal Cylinder in Waves

1981 ◽  
Vol 48 (4) ◽  
pp. 689-694 ◽  
Author(s):  
J. R. Chaplin
Keyword(s):  
Horizontal Cylinder ◽  
Circumferential Velocity ◽  
Two Dimensional ◽  
Irrotational Flow ◽  
Ambient Flow ◽  
Circle Theorem ◽  
Pressure Distributions ◽  
Cylinder Diameter

Milne-Thomson’s circle theorem is used to study the characteristics of the two-dimensional irrotational flow around a horizontal cylinder under long-crested waves. Even when the cylinder diameter is small compared with the wavelength, the circumferential velocity and pressure distributions are unsteady and differ markedly from those corresponding to uniform ambient flow with similar velocity and acceleration vectors.

Graphical, Mechanical, and Electrical Aids for Compressible Fluid Flow

1950 ◽  
Vol 17 (1) ◽  
pp. 37-46
Author(s):  
H. Poritsky ◽  
B. E. Sells ◽  
C. E. Danforth
Keyword(s):  
Fluid Flow ◽  
Analytical Solutions ◽  
Compressible Fluid ◽  
Compressible Fluids ◽  
Two Dimensional ◽  
Derived Relations ◽  
Irrotational Flow ◽  
Compressible Fluid Flow ◽  
Length Width ◽  
Electrical Methods

Abstract Graphical, mechanical, and electrical methods of studying two-dimensional and axially symmetrical irrotational flow of nonviscous compressible fluids are described and examples are given of problems solved by these methods. Rules for the construction of compressible flux plots using wires, beads, and a suitable device for obtaining the desired length-width ratios of the rectangles are derived, and the apparatus used is described. An analogy is described by means of which these problems can be solved by the use of a d-c resistance board, employing variable resistances which are adjusted to conform to the derived relations. Designers and aerodynamicists in need of solution for problems for which no analytical solutions are available can use the methods described in this paper to obtain the required solutions.

A Method for Solving Problems of Irrotational Gas Flow by Means of High-Speed Digital Computers

1957 ◽  
Vol 24 (4) ◽  
pp. 497-500
Author(s):  
Toyoki Koga
Keyword(s):  
Flow Field ◽  
Analytical Methods ◽  
High Speed ◽  
Gas Flow ◽  
Fundamental Equation ◽  
Numerical Procedure ◽  
The State ◽  
Two Dimensional ◽  
Perfect Gas ◽  
Irrotational Flow

Abstract A numerical procedure is proposed for solution of certain problems in steady gas flow where subsonic, sonic, and supersonic regions appear simultaneously. The difficulties that occur in analytical methods for taking into account the differences of the type of the fundamental equation (elliptic, parabolic, hyperbolic) are avoided. Given a streamline and the state of the gas along that streamline, the co-ordinates of the neighboring streamline and the state of the gas along it can be computed. The procedure can be applied successively to cover a flow field. The method is described in detail for two-dimensional, steady, irrotational flow (without shocks) of a perfect gas, and an example is given.

A note on Stokes's stream function for motion with a spherical boundary

1953 ◽  
Vol 49 (1) ◽  
pp. 169-174 ◽  
Author(s):  
S. F. J. Butler
Keyword(s):  
Circular Cylinder ◽  
Stream Function ◽  
Complex Potential ◽  
Velocity Potential ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Irrotational Flow ◽  
Circle Theorem ◽  
Spherical Boundary

The circle theorem of Milne-Thomson(1) connecting the complex potential in a two-dimensional irrotational flow about a circular cylinder with that of the flow when the cylinder is absent has a three-dimensional counterpart in the result due to Weiss (3) for the perturbed velocity potential in an unlimited irrotational flow when the rigid spherical boundary r = a is inserted.

scholarly journals The Iterated Equation of Generalized Axially Symmetric Potential Theory

1969 ◽  
Vol 9 (1-2) ◽  
pp. 153-160
Author(s):  
J. C. Burns
Keyword(s):  
Perfect Fluid ◽  
Stream Function ◽  
Stokes Flow ◽  
Two Dimensional ◽  
Axially Symmetric ◽  
Sphere Theorem ◽  
Symmetric Potential ◽  
Irrotational Flow ◽  
Viscous Boundary ◽  
Viscous Boundary Conditions

Milne-Thomson's well-known circle theorem [1] gives the stream function for steady two-dimensional irrotational flow of a perfect fluid past a circular cylinder when the flow in the absense of the cylinder is known. Butler's sphere theorem [2] gives the corresponding result for axially symmetric irrotational flow of a perfect fluid past a sphere. Collins [3] has obtained a sphere theorem for axially symmetric Stokes flow of a viscous liquid which gives a stream function satisfying the appropriate viscous boundary conditions on the surface of a sphere when the stream function for irrotational flow in the absence of the sphere is known.

Aerodynamic behaviour of bodies in the wakes of other bodies

1971 ◽  
Vol 269 (1199) ◽  
pp. 425-437 ◽  
Keyword(s):  
Bluff Body ◽  
Three Dimensional ◽  
Future Research ◽  
Bluff Bodies ◽  
Two Dimensional ◽  
Limited Information ◽  
Irrotational Flow ◽  
Two Bodies

Wakes of two-dimensional bluff bodies are described, with emphasis on the properties of the wake which influence the loads on other bodies placed in the wake. The unsteady irrotational flow outside the true wake is included in the discussion. Some limited information on the wakes of three-dimensional bluff bodies is also considered. The interaction between two bodies is subdivided into two categories: (i) when the bodies are close together and the upstream body is influenced by the downstream one and (ii) when the bodies are so far apart that only the downstream body is affected. Experiments are described in which the load on an aerofoil in the wake of a two-dimensional bluff body was measured. The results are presented in the form of an aerodynamic admittance and these experiments are used to illustrate the type of problem associated with the determination of the loads on a bluff body in a wake. Experiments are also described which show the large variation of time-averaged load which can be developed on a body which is part of a closely packed complex of bodies, as the orientation of the complex to the wind is varied. Finally, some ideas for future research are outlined.

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