MHD flow in a circular pipe with arbitrarily conducting slipping walls

Date

2018-08-31

Author

Senel, P.
Tezer, Münevver

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

268
views

0
downloads

In this study, the magnetohydrodynamic (MHD) flow is simulated in a circular pipe with slipping and arbitrarily conducting boundary. The 2D governing coupled equations in terms of the velocity and the induced magnetic field are solved by the Dual Reciprocity Boundary Element Method (DRBEM). The discretized system of equations is solved in one stroke without introducing an iteration which reduces the computational cost. It is shown that, the flow decelerates, Hartmann layers enlarge through the top and the bottom of the pipe and induced current lines align as the wall conductivity or Hartmann number increases. An increase in the slip length accelerates the flow, shrinks the stagnant region, diminishes the boundary layers and retards the effect of the wall conductivity increase. The DRBEM is an advantageous method in solving MHD flow especially with slipping and arbitrarily conducting boundary conditions, since it enables to insert both the unknowns and their normal derivatives in slip and conductivity wall conditions.

Subject Keywords

General Physics and Astronomy

URI

https://hdl.handle.net/11511/47117

DOI

https://doi.org/10.1088/1742-6596/1141/1/012033

Collections

Department of Mathematics, Conference / Seminar

Suggestions

OpenMETU
Core

Parameter Identification in MHD Duct Flow Cauchy Problem using the DRBEM Tezer, Münevver (2018-08-31) In this study, the Hartmann number (Ha) is identified through the inverse formulation of Cauchy problem for magnetohydrodynamic (MHD) flow in a duct with insulated but no-slip or variably slipping walls. The solutions for direct and inverse problems are obtained using the dual reciprocity boundary element method (DRBEM), and Tikhonov regularization with L-curve method is used for solving ill-conditioned linear system of equations resulted from the inverse problem. The velocity and the induced magnetic field...
Nonlinear mode coupling and sheared flow in a rotating plasma Uzun Kaymak, İlker Ümit; Choi, S.; Clary, M. R.; Ellis, R. F.; Hassam, A. B.; Teodorescu, C. (IOP Publishing, 2009-01-01) Shear flow is expected to stabilize the broad spectrum of interchange modes in rotating plasmas. However, residual fluctuations may still persist. To investigate the presence of such fluctuations, sixteen magnetic pickup coils equally spaced on a crown have been mounted inside the vacuum vessel, at the edge of a rotating plasma in mirror configuration. A comprehensive analysis of the magnetic fluctuations shows that very low spatial mode numbers survive under the imposed shear flow. Nevertheless, temporal F...
Singularities of spectra of infrared reflection of tertiary compounds of the type T1BX2 Hasanlı, Nızamı; Khomutova, M.D.; Sardarly, R.M.; Tagorov, V.I. (Springer Science and Business Media LLC, 1977-07-01) The frequencies of lattice vibrations are calculated for compounds of the type T1BX2 on the basis of the linear-chain model. The calculated frequencies are compared with experimental values for TlGaS2 and TlGaSe2. The good agreement between the calculated and experimental frequencies serves as proof of the applicability of the linear-chain model to compounds of the T1BX2 type. The proposed method of calculation of frequencies makes it possible to predict the theoretical frequencies of lattice vibrations of ...
Singular potentials and moving boundaries in 3D Yuce, C (Elsevier BV, 2004-02-16) In this Letter, the problem of a spinless particle under the time-dependent harmonic oscillator potential and a singular potential with a moving boundary is studied in the spherical coordinates. Some transformations are used to transform the moving boundary conditions to the fixed boundary conditions. An exact solution is constructed.
Effective Mass Dirac-Morse Problem with any kappa-value Arda, Altug; Sever, Ramazan; TEZCAN, CEVDET; Akcay, Hueseyin (IOP Publishing, 2010-04-01) The Dirac-Morse problem is investigated within the framework of an approximation to the term proportional to 1/r(2) in the view of the position-dependent mass formalism. The energy eigenvalues and corresponding wave functions are obtained by using the parametric generalization of the Nikiforov-Uvarov method for any kappa-value. We also study the approximate energy eigenvalues, and the corresponding wave functions in the case of the constant-mass for pseudospin, and spin cases, respectively.

Citation Formats

P. Senel and M. Tezer, “MHD flow in a circular pipe with arbitrarily conducting slipping walls,” 2018, vol. 1141, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47117.