TY - JOUR

T1 - Self-similarity of nonstationary boundary-layer motions

AU - Prozorova, E. V.

PY - 1975/7

Y1 - 1975/7

N2 - In this paper we show that problems concerning the development of a boundary layer on a semi-infinite plate when the outer flow speed is of the form U = (1 + ct)ba, and on a cylinder when the outer flow speed has the forms U = ctαxm and U = (1 + ct)baxm, are self-similar. We present the results of numerical calculations for various values of α, b, and m. We consider the problem of a stepwise nonstationary heating of a plate, impulsively set into motion in an incompressible fluid; we show that this problem is self-similar and obtain its solution numerically.

AB - In this paper we show that problems concerning the development of a boundary layer on a semi-infinite plate when the outer flow speed is of the form U = (1 + ct)ba, and on a cylinder when the outer flow speed has the forms U = ctαxm and U = (1 + ct)baxm, are self-similar. We present the results of numerical calculations for various values of α, b, and m. We consider the problem of a stepwise nonstationary heating of a plate, impulsively set into motion in an incompressible fluid; we show that this problem is self-similar and obtain its solution numerically.

UR - http://www.scopus.com/inward/record.url?scp=34250386321&partnerID=8YFLogxK

U2 - 10.1007/BF00858299

DO - 10.1007/BF00858299

M3 - Article

AN - SCOPUS:34250386321

VL - 16

SP - 578

EP - 581

JO - Journal of Applied Mechanics and Technical Physics

JF - Journal of Applied Mechanics and Technical Physics

SN - 0021-8944

IS - 4

ER -