Convective and Absolute Instabilities in the Incompressible Boundary Layer on a Rotating-Disk

M. TÜRKYİLMAZOGLU

Makale detayları

Convective and Absolute Instabilities in the Incompressible Boundary Layer on a Rotating-Disk

Yazarlar:

M. TÜRKYİLMAZOGLU

Yayıncı:

Hacettepe University

Ana Başlıklar:

Analiz

Dergi:

Hacettepe Journal of Mathematics and Statistics 2006 Vol.35 Issue 2, pp.117-146

Belge Tipi:

Makale

Yayın Tarihi:

1/2006

Belge Dili:

İngilizce

Document ID (Org No.):

2000453798

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

The linear absolute/convective instability mechanisms of the incompressible Von Karman‘s boundary layer flow over a rotating-disk are revisited in the present paper in order to review and assemble the available results in the literature on the topic. For this purpose the linearized system of stability equations of motion is first treated numerically, by employing a Spectral method based on Chebyshev collocation as well as a fourth-order Runge-Kutta method in combination with a shooting strategy. Inviscid/viscous stationary and travelling modes which lead to both convective and absolute instability mechanisms were successfully reproduced and compare favorably with those obtained by previous investigators. The validation of the zero-frequency upper-branch modes was also accomplished by the asymptotic expansion technique of [17], which is later extended to cover the non-zero frequency disturbances. The importance of the present study lies in understanding the roles of possible instability mechanisms on the laminar-turbulent transition phenomenon in the three-dimensional boundary layer flow over a rotating-disk, as well as related aerodynamic bodies.

Makale detayları

Convective and Absolute Instabilities in the Incompressible Boundary Layer on a Rotating-Disk

Yazarlar: M. TÜRKYİLMAZOGLU

Yayıncı: Hacettepe University

Ana Başlıklar: Analiz

Dergi: Hacettepe Journal of Mathematics and Statistics 2006 Vol.35 Issue 2, pp.117-146

Belge Tipi: Makale

Yayın Tarihi: 1/2006

Belge Dili: İngilizce

Document ID (Org No.): 2000453798

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

M. TÜRKYİLMAZOGLU

Yayıncı:

Hacettepe University

Ana Başlıklar:

Analiz

Dergi:

Hacettepe Journal of Mathematics and Statistics 2006 Vol.35 Issue 2, pp.117-146

Belge Tipi:

Makale

Yayın Tarihi:

1/2006

Belge Dili:

İngilizce

Document ID (Org No.):

2000453798

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X