Boundary integral solution of MHD pipe flow

Date

2016-07-10

Author

Tezer, Münevver
Bozkaya, Canan

Metadata

Show full item record

Item Usage Stats

137
views

0
downloads

The process of modeling of physical systems into mathematical problems as a set ofeither algebraic or differential equations is illustrated schematically. The need for com-putational methods and related problems in numerical solutions are discussed givingsome challenging physical models. Components of a numerical solution method isshown with several discretization methods.As a special application in fluid dynamics, the boundary integral solution ofmagnetohydrodynamic (MHD) pipe flow is presented. The MHD flow problem ina circular pipe defined by convection-diffusion equations is coupled with an exteriorNeumann or Dirichlet magnetic problem defined by the Laplace equation through thecoupled boundary conditions on the pipe wall. A semi-analytical solution method isprovided in the sense that, the theoretically obtained three boundary integral equationsfor interior Dirichlet and exterior Dirichlet or Neumann problems are solved numericallyby using collocating points on the pipe wall. The solution is simulated for several valuesof problem parameters to demonstrate the well-known MHD characteristics.

URI

https://hdl.handle.net/11511/85793

Conference Name

International Conference on Boundary Element and Meshless Techniques XVII

Collections

Department of Mathematics, Conference / Seminar

Suggestions

OpenMETU
Core

NONCOMMUTATIVE HOLOMORPHIC FUNCTIONAL CALCULUS, AFFINE AND PROJECTIVE SPACES FROM NC-COMPLETE ALGEBRAS Dosi, A. (American Mathematical Society (AMS), 2020-01-01) The paper is devoted to a noncommutative holomorphic functional calculus and its application to noncommutative algebraic geometry. A description is given for the noncommutative (infinite-dimensional) affine spaces A(q)(x), 1 = 0, are calculated.
Boundary value problems for higher order linear impulsive differential equations Uğur, Ömür; Akhmet, Marat (2006-07-01) In this paper higher order linear impulsive differential equations with fixed moments of impulses subject to linear boundary conditions are studied. Green's formula is defined for piecewise differentiable functions. Properties of Green's functions for higher order impulsive boundary value problems are introduced. An appropriate example of the Green's function for a boundary value problem is provided. Furthermore, eigenvalue problems and basic properties of eigensolutions are considered. (c) 2006 Elsevier In...
Conservative finite difference schemes for cosymmetric systems Karasözen, Bülent (2001-09-26) We consider the application of computer algebra for the derivation of the formula for the preservation of the cosymmetry property through discretization of partial differential equations. The finite difference approximations of differential operators for both regular and staggered grids are derived and applied to the planar filtration-convection problem.
Pseudospin and Spin Symmetric Solutions of the Dirac Equation: Hellmann Potential, Wei-Hua Potential, Varshni Potential Arda, Altug; Sever, Ramazan (Walter de Gruyter GmbH, 2014-03-01) Approximate analytical solutions of the Dirac equation are obtained for the Hellmann potential, the Wei-Hua potential, and the Varshni potential with any K-value for the cases having the Dirac equation pseudospin and spin symmetries. Closed forms of the energy eigenvalue equations and the spinor wave functions are obtained by using the Nikiforov-Uvarov method and some tables are given to see the dependence of the energy eigenvalues on different quantum number pairs (n, K).
Asymptotic behavior of linear impulsive integro-differential equations Akhmet, Marat; YILMAZ, Oğuz (Elsevier BV, 2008-08-01) Asymptotic equilibria of linear integro-differential equations and asymptotic relations between solutions of linear homogeneous impulsive differential equations and those of linear integro-differential equations are established. A new Gronwall-Bellman type lemma for integro-differential inequalities is proved. An example is given to demonstrate the validity of one of the results.

Citation Formats

M. Tezer and C. Bozkaya, “Boundary integral solution of MHD pipe flow,” Ankara, Türkiye, 2016, p. 155, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/85793.