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Dergiler / Mathematical and Computational Applications / 2004 / Cilt: 9 - Sayı: 2

On the unsteady flows generated by impulsive motion of a boundary

M. Emin ERDOĞAN
C. Erdem İMRAK
Sayfa
265–274
DOI
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It is shown that if the conditions for which the values of the quantities such as velocity, flux and skin friction obtained for large times are nearly the same with those obtained for small times are established, the expressions of the quantities obtained for one of large times or small times can also be used for the other.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Some properties of unsteady unidirectional flows of viscous fluids are examined for flows impulsively started from rest by the motion of a boundary or two boundaries.
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Temel Bulgular & Veri:Three illustrative examples are given.
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Sonuç & Katkı:It is shown that if the conditions for which the values of the quantities such as velocity, flux and skin friction obtained for large times are nearly the same with those obtained for small times are established, the expressions of the quantities obtained for one of large times or small times can also be used for the other.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

Some properties of unsteady unidirectional flows of viscous fluids are examined for flows impulsively started from rest by the motion of a boundary or two boundaries. Three illustrative examples are given. The first example is the unsteady Couette flow, the second is the unsteady flow between two parallel plates suddenly set in motion with the same speed and the third is the unsteady flow in a circular cylinder moving parallel to its length. It is shown that if the conditions for which the values of the quantities such as velocity, flux and skin friction obtained for large times are nearly the same with those obtained for small times are established, the expressions of the quantities obtained for one of large times or small times can also be used for the other.

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Bu Makaleye Atıf Yap

ERDOĞAN, M. E., İMRAK, C. E. (2004). On the unsteady flows generated by impulsive motion of a boundary. Mathematical and Computational Applications, Cilt: 9 - Sayı: 2, 265–274. https://ajindex.com/articles/280345

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Kaynakça (1)

  1. R. Berker, Integration des equations du movement d'un fluide visqueux incompressible,Handbuch der Physik, VIII/2, Springer-Verlag, Berlin, 1963. 2.C. Y. Wang, Exact solutions of the unsteady Navier-Stokes equations, Appl. Meek Rev.42,270-282,1969. 3.C. Y. Wang, Exact solutions of the steady-state Navier-Stokes equations, Annu. Rev. Fluid Meek 42,159 -177,1991. 4.P. Szymanski, Quelques solutions exactes des equations de l'hydrodynmaique de fluide visqueux dans le cas d'un tube cylindirique, J. de math. Pures et appliques, Series 9,11, 67 -107,1932. 5.G. K. Batchelor, The skin friction on infinite cylinders moving parallel to their length,Quart. J. Meek And Appl. Math. 7, 179 - 192, 1954. 6.W. Müller, Zum Problem der Anlaufströmung einer Flüssigkeit im geraden Rohrmit Kreisring-und Kreisquerschnitt, Zangew. Math. Mech (ZAMM), 16, 227 - 238, 1936. 7.R. S. Nanda, Unsteady circulatory flow about a circular cylinder with suction, Appl. Scien.Res. 9A, 85 -92,1960. 8.H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, Oxford University Press, 1973. 9.M. Abramovitz and I. Stegun, Handbook of Mathematical Functions, Dover, 1965.