Three-dimensional hypersonic gas flow past slender bodies at high angles of attack

Sychev, V. V.

doi:10.1016/0021-8928(60)90033-2

Cited by 48 publications

(17 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…this is in contrast to Sychev's [19] SDT, which is applicable to slender bodies at large incidence -here the small parameter is the transverse dimension of the body. Both the hypersonic SDT of Van Dyke and the large incidence SDT of Sychev, yield a form of the hypersonic equivalence principle ("law of plane sections" in Sychev's work), or piston analogy; the steady flow in n spatial dimensions is modeled by the unsteady flow in n − 1 spatial dimensions.…”

Section: A Piston Analogymentioning

confidence: 82%

“…Examples included the large entropy gradients along the length of the cylinder, and the acceleration and deceleration of the piston, which are not accounted for in CPT. The mathematical treatment of the reduction of a n-dimensional spatial flow to unsteady flow in n − 1 dimensions is given [18] using hypersonic SDT, with the differences and similarites between hypersonic SDT, Sychev's SDT [19], and CPT being reviewed.…”

Section: Developments In Piston Theorymentioning

confidence: 99%

“…Wood [18] gives a simplified treatment, and also considers Sychev's [19] SDT. The approach of Wood in reducing the Euler equations is followed here, with an emphasis on the transformations for a two-dimensional airfoil.…”

Section: A Piston Analogymentioning

confidence: 99%

See 2 more Smart Citations

Generalized Formulation and Review of Piston Theory for Airfoils

Meijer

Dala

2016

AIAA Journal

View full text Add to dashboard Cite

The present work presents a brief review of some of the notable contributions to piston theory and of its theoretical basis. A generalized formulation of piston theory is given, applicable to both local and classical piston theory. A consistent generalized formulation of the downwash equation is given, accounting for arbitrary motion in the plane of the airfoil. The formulation reduces to established downwash equations through appropriate definition of the cylinder orientation. The theoretical range of validity of Lighthill's classical piston theory is examined, and the relative accuracy of a number of approximate theories encapsulated by the formulation as applied to a planar wedge is considered. The relative importance of higher-order terms in piston theory is examined, with the significance of recent literature extending the fidelity of the firstorder term highlighted. It is subsequently suggested that current implementations of local piston theory may be improved through the use of a first-order term of suitable accuracy.

show abstract

Section: A Piston Analogymentioning

confidence: 82%

Section: Developments In Piston Theorymentioning

confidence: 99%

See 1 more Smart Citation

Generalized Formulation and Review of Piston Theory for Airfoils

Meijer

Dala

2016

AIAA Journal

View full text Add to dashboard Cite

show abstract

“…Angle  is the angle between the shock and the strip. A piston theory which has been used in equation (1) has been extended to supersonic flow. The expression is given below.…”

Section: Piston Theorymentioning

confidence: 99%

“…High incidence hypersonic similitude of Sychev's [1] is applicable to a wing provided it has an extremely small span in addition to small thickness. The unsteady infinite span case has been analyzed, but mostly for small flow deflections.…”

Section: Introductionmentioning

confidence: 99%