Stabilized FEM Solutions of MHD Equations Around a Solid and Inside a Conducting Medium

S. H. Aydın

doi:10.31801/cfsuasmas.443719

Araştırma Makalesi

Yıl 2019, Cilt: 68 Sayı: 1, 197 - 208, 01.02.2019

S. H. Aydın

https://doi.org/10.31801/cfsuasmas.443719

Öz

Kaynakça

Dragoş, L., Magnetofluid Dynamics, Abacus Pres, 1975. Hartmann, J., Theory of the laminar flow of an electrically conductive liquid in a homogeneous magnetic field, K. Dan. Vidensk. Selsk. Mat. Fys. Medd., 15(6) (1937), 1-28.
Tezer-Sezgin, M. and Han Aydın, S., BEM Solution of MHD Flow in a Pipe Coupled with Magnetic Induction of Exterior Region, Computing, 95(1) (2013), 751-770.
Han Aydın, S. and Tezer-Sezgin, M., DRBEM Solution of MHD Pipe Flow in a Conducting Medium, J. Comput. Appl. Math., 259(B) (2014), 720-729.
Tezer-Sezgin, M. and Han Aydın, S., FEM Solution of MHD Flow Equations Coupled on a Pipe Wall in a Conducting Medium, PAMIR 2014.
Brooks, A.N. and Hughes, T.J.R., Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg., 32 (1982), 199-2592.
Reddy, J.N., An Introduction to the Finite Element Method, McGraw-Hill, New York, 1993.
Aydın, S. H. The Finite Element Method Over a Simple Stabilizing Grid Applied to Fluid Flow Problems (Ph.D. Thesis) Middle East Technical University, Institute of Applied Mathematics, 2008.

Stabilized FEM Solutions of MHD Equations Around a Solid and Inside a Conducting Medium

Yıl 2019, Cilt: 68 Sayı: 1, 197 - 208, 01.02.2019

S. H. Aydın

https://doi.org/10.31801/cfsuasmas.443719

Öz

In this study, the numerical solution of the magnetohydrodynamic (MHD) flow is considered in a circular pipe around a conducting solid and in an insulating or conducting medium. An external magnetic field is applied through axis of the pipe with an angle α with through the x-axis. The mathematical model of the considered physical problem can be defined in terms of coupled MHD equations in the pipe domain and the Laplace equations on the solid and external mediums. The coupled equations are transformed into decoupled inhomogeneous convection-diffusion type equations in order to apply stabilization in the finite element method solution procedure. Obtained stabled solutions for the high values of the problem parameters display the well-known characteristics of the MHD pipe flow.

Anahtar Kelimeler

MHD, stabilized FEM

Kaynakça

Dragoş, L., Magnetofluid Dynamics, Abacus Pres, 1975. Hartmann, J., Theory of the laminar flow of an electrically conductive liquid in a homogeneous magnetic field, K. Dan. Vidensk. Selsk. Mat. Fys. Medd., 15(6) (1937), 1-28.
Tezer-Sezgin, M. and Han Aydın, S., BEM Solution of MHD Flow in a Pipe Coupled with Magnetic Induction of Exterior Region, Computing, 95(1) (2013), 751-770.
Han Aydın, S. and Tezer-Sezgin, M., DRBEM Solution of MHD Pipe Flow in a Conducting Medium, J. Comput. Appl. Math., 259(B) (2014), 720-729.
Tezer-Sezgin, M. and Han Aydın, S., FEM Solution of MHD Flow Equations Coupled on a Pipe Wall in a Conducting Medium, PAMIR 2014.
Brooks, A.N. and Hughes, T.J.R., Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg., 32 (1982), 199-2592.
Reddy, J.N., An Introduction to the Finite Element Method, McGraw-Hill, New York, 1993.
Aydın, S. H. The Finite Element Method Over a Simple Stabilizing Grid Applied to Fluid Flow Problems (Ph.D. Thesis) Middle East Technical University, Institute of Applied Mathematics, 2008.

Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Bölüm	Makaleler
Yazarlar	S. H. Aydın
Yayımlanma Tarihi	1 Şubat 2019
Gönderilme Tarihi	9 Şubat 2017
Kabul Tarihi	27 Kasım 2017
Yayımlandığı Sayı	Yıl 2019 Cilt: 68 Sayı: 1

Kaynak Göster

APA	Aydın, S. H. (2019). Stabilized FEM Solutions of MHD Equations Around a Solid and Inside a Conducting Medium. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 197-208. https://doi.org/10.31801/cfsuasmas.443719
AMA	Aydın SH. Stabilized FEM Solutions of MHD Equations Around a Solid and Inside a Conducting Medium. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Şubat 2019;68(1):197-208. doi:10.31801/cfsuasmas.443719
Chicago	Aydın, S. H. “Stabilized FEM Solutions of MHD Equations Around a Solid and Inside a Conducting Medium”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68, sy. 1 (Şubat 2019): 197-208. https://doi.org/10.31801/cfsuasmas.443719.
EndNote	Aydın SH (01 Şubat 2019) Stabilized FEM Solutions of MHD Equations Around a Solid and Inside a Conducting Medium. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 197–208.
IEEE	S. H. Aydın, “Stabilized FEM Solutions of MHD Equations Around a Solid and Inside a Conducting Medium”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 68, sy. 1, ss. 197–208, 2019, doi: 10.31801/cfsuasmas.443719.
ISNAD	Aydın, S. H. “Stabilized FEM Solutions of MHD Equations Around a Solid and Inside a Conducting Medium”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (Şubat 2019), 197-208. https://doi.org/10.31801/cfsuasmas.443719.
JAMA	Aydın SH. Stabilized FEM Solutions of MHD Equations Around a Solid and Inside a Conducting Medium. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:197–208.
MLA	Aydın, S. H. “Stabilized FEM Solutions of MHD Equations Around a Solid and Inside a Conducting Medium”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 68, sy. 1, 2019, ss. 197-08, doi:10.31801/cfsuasmas.443719.
Vancouver	Aydın SH. Stabilized FEM Solutions of MHD Equations Around a Solid and Inside a Conducting Medium. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):197-208.