Hacettepe Üniversitesi | Fen Fakültesi | Akademik Birimler
Akademik Personel

 

Dr. Mustafa Türkyılmazoğlu

( Professor of Applied Mathematics )

Tel: +90 0 312 2976766 , Office: 238

e-mail: turkyilm@hacettepe.edu.tr

Personal web page

 

Research Interests:
Fluid mechanics, Hydrodynamic stability theory, Rotating-disk flow, High-Reynolds number flows, Triple-deck asymptotic theory of compressible viscous flows, Numerical simulation.


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Publications

Research Papers:

  1. M. Turkyilmazoglu (1994) A numerical study of three-dimensional unsteady viscous flow in a lid-driven cavity, M.Sc. Thesis, University of Manchester.

  2. M. Turkyilmazoglu (1998) Linear absolute and convective instabilities of some two and three dimensional flows, Ph.D. Thesis, University of Manchester.

  3. M. Turkyilmazoglu, J.W. Cole and J.S.B. Gajjar (2000) Absolute and convective instabilities in the compressible boundary layer on a rotating disk, Theo. Comp. Fluid Dyn. Vol 14, Issue I, pp. 21-37, (also see CLSCM Report no CLSCM-1998-001, University of Manchester)

  4. M. Turkyilmazoglu and J.S.B. Gajjar (1998) Absolute and convective instabilities in the incompressible boundary layer on a rotating disk, CLSCM Report no CLSCM-1998-002, University of Manchester.

  5. A. I. Ruban, M.Turkyilmazoglu and J.S. B. Gajjar (1998) Influence of centrifugal forces in the developments of wave packets in boundary layers, CLSCM Report no CLSCM-1998-003, University of Manchester.

  6. M.Turkyilmazoglu, J.S.B. Gajjar and A.I. Ruban (1999) The absolute instability of thin wakes in a compressible fluid, Theo. Comp. Fluid Dyn. Vol 13, Issue II, pp. 91-114, (also see CLSCM Report no CLSCM-1998-004, University of Manchester).

  7. M. Turkyilmazoglu and J.S.B. Gajjar (1999) On the absolute instability of the attachment line and swept-Hiemenz boundary layers, Theo. Comp. Fluid Dyn. Vol 13, Issue I, pp. 57-75, (also see CLSCM Report no CLSCM-1998-005, University of Manchester).

  8. J.S.B. Gajjar, M. Turkyilmazoglu and A.I. Ruban (1999) The absolute instability of the flow over joukowski and wedge-shaped aerofoils, Proc. 25th National and 1st International Conference on Fluid Mechanics and Fluid Power, IIT Delhi, pp. 804-814.

  9. J.S.B. Gajjar and M. Turkyilmazoglu (2000) On the absolute instability of the triple-deck flow over humps and near wedged trailing edges, PHILOS T ROY SOC A 358: (1777) 3113-3128.

  10. M. Turkyilmazoglu and J.S.B. Gajjar (2000) Direct spatial resonance in the laminar boundary layer due to a rotating-disk, SADHANA-ACAD P ENG S Vol. 25, Part 6, pp. 601-617.

  11. M. Turkyilmazoglu and J.S.B. Gajjar (2001) Upper branch non-stationary modes of the boundary layer due to a rotating-disk, Applied Mathematics Letters, Vol. 14,Issue 6, pp. 685-690.

  12. M. Turkyilmazoglu and J.S.B. Gajjar (2001) An analytic approach for calculating absolutely unstable inviscid modes of the boundary layer on a rotating-disk, Stud. Appl. Math., Vol. 106, Issue 4, pp. 419-435.

  13. M. Turkyilmazoglu and A.I. Ruban (2002) A uniformly valid well-posed asymptotic approach to the inviscid-viscos interaction theory, Stud. Appl. Math., Vol. 108, Issue 1, pp. 161-185.

  14. M. Turkyilmazoglu (2002) The Absolute Instability of Joukowski Type Airfoils, Theoret Comput Fluid Dynamics 15 (2002) 4, 255-264.

  15. M. Turkyilmazoglu (2002) Flow in the Vicinity of the Trailing Edge of Joukowski Type Profiles, P ROY SOC LOND A MAT 458 (2023): 1653-1672 JUL 8 2002

  16. M. Turkyilmazoglu (2003) Instability Of The Flow In The Vicinity Of Trailing Edge Of A Class Of Thin Aerofoils, Computers & Fluids 12 (2003) 353-371.

  17. M. Turkyilmazoglu (2003) Asymptotic Calculation Of The Upper Branch Modes In The Compressible Rotating-Disk Flow, (submitted to Applied Mathematics Letters).

  18. M. Turkyilmazoglu (2003) Absolute and Convective Instabilities in the Incompressible Boundary Layer on a Rotating Disk, (Submitted to Hacettepe Journal of Mathematics and Statistics).

  19. M. Turkyilmazoglu and N. Uygun (2004) Basic Compressible Flow Over a Rotating Disk, Hacettepe Journal of Mathematics and Statistics, Vol. 33, pp. 1-10.

  20. M. Turkyilmazoglu (2005) Lower branch modes of the compressible boundary layer flow due to a rotating-disk, Stud. Appl. Math., Vol. 114, Issue 1, pp. 17-43.

  21. M. Turkyilmazoglu (2005) Effects of suction on the nonstationary lower branch modes of a compressible boundary layer flow due to a rotating disk, Stud. Appl. Math., Vol. 115, Issue 4, pp. 357-385.

  22. M. Turkyilmazoglu (2006) Asymptotic Calculation Of Inviscidly Absolutely Unstable Modes Of The Compressible Boundary Layer On A Rotating-Disk, Applied Mathematics Letters Volume 19, Issue 8 , August 2006, Pages 795-800.

  23. M. Turkyilmazoglu and N. Uygun (2005) Compressible Modes Of The Rotating-Disk Boundary Layer Flow Leading To Absolute Instability, Stud. Appl. Math., Vol. 115, Issue 1, pp. 1-20.

  24. M. Turkyilmazoglu (2006) A composite model for the inviscid-viscous interaction theory (To appear in Advances in Mathematics Research).

  25. M. Turkyilmazoglu (2006) Non-linear and non-stationary modes of the lower branch of the incompressible boundary layer flow due to a rotating-disk (To appear in Quarterly of Applied Maths.)

  26. M. Turkyilmazoglu and N. Uygun (2006) Direct Spatial Resonance In The Compressible Boundary Layer On a Rotating-disk, Theo. Comp. Fluid Dyn. Vol 20, Issue III, pp. 145-162.

  27. M. Turkyilmazoglu (2006) Influence of centrifugal forces on the development of wave packets in boundary layers with a uniformly valid model (To appear in Computers & Fluids).

  28. M. Turkyilmazoglu (2006) Effects of mass transfer on a resonance instability in the laminar boundary layer flow over a rotating-disk (Submitted to SADHANA).

  29. M. Turkyilmazoglu (2006) Effects of mass transfer on the lower branch modes of the incompressible boundary layer flow due to a rotating-disk , (submitted to Zeitschrift für angewandte Mathematik und Physik).

  30. M. Turkyilmazoglu (2006) Influence of finite amplitude disturbances on the non-stationary modes of a compressible boundary layer flow, (To appear in Stud. Appl. Maths.).

  31. M. Turkyilmazoglu (2006) Influence of suction/blowing on the finite amplitude disturbances having non-stationary modes of a compressible boundary layer flow, (Submitted to Journal of Nonlinear Science).

  32. M. Turkyilmazoglu (2006) Asymptotic stability of linearly evolving non-stationary modes in a uniform hydromagnetic field over a porous rotating disk flow, (submitted to Eur. J. Mech. B/Fluids)

  33. M. Turkyilmazoglu (2006) An asymptotic investigation into the stabilization effect of suction in the rotating-disk boundary layer flow, (To Appear in Comp. Math. Appl.)

  34. M. Turkyilmazoglu (2006) Resonance instabilities on the boundary layer flow over a rotating-disk under the influence of a uniform magnetic field, (submitted to Jour. Eng. Maths.)

 

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Courses Given

Undergraduate Courses:

MAT 121-05 GENEL MATEMATİK I, MAT 125-01 GENEL MATEMATİK I, MAT 238-01 MÜHENDİSLİK MATEMATİĞİ I, MTK 311-01 KOMPLEKS FONKSİYONLAR TEORİSİ, MAT 122-05 GENEL MATEMATİK II, MAT 226-01 İLERİ MATEMATİK, MAT 126-01 GENEL MATEMATİK II, MAT 123-08 GENEL MATEMATİK I, MAT 124-08 GENEL MATEMATİK II, MTK 203-01 DİFERANSİYEL DENKLEMLER, MTK 302-01 KISMİ TÜREVLİ DENKLEMLER, MATH 240-01-02 DİFERANSİYEL DENKLEMLER (BİLKENT), MAT 235-01 MÜHENDİSLİK MATEMATİĞİ I, MAT 236-01 MÜHENDİSLİK MATEMATİĞİ II.

Graduate Courses:

MAT 592-01 NÜMERİK ÇÖZÜM METODLARI, MAT 581-01 PERTÜRBASYON YÖNTEMLERİ.

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Thesis Supervised

Msc - ÖMER FIRAT (2003) RUNGE-KUTTA VE CHEBYSHEV SIRALAMA YÖNTEMLERİNİN AKIŞKANLAR DİNAMİĞNDEKİ PROBLEMLERE UYGULANIŞI.

PhD - NİHAN UYGUN (2006) SIKIŞTIRILABİLİR 3-BOYUTLU DÖNEN-DİSK AKIŞINDAKİ KARARSIZLIK MEKANİZMALARI.

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Hacettepe Üniversitesi Matematik Bölümü
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