A Numerical Solution for an Inverse Natural Magneto-Convection Problem

Alsoy-Akgun N. , Lesnic D.

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, cilt.63, sa.2, ss.115-138, 2013 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 63 Konu: 2
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1080/10407790.2013.740978
  • Sayfa Sayıları: ss.115-138


An inverse boundary-value problem arising in natural magneto-convection is formulated and investigated numerically for the first time. The physical problem takes place in a square cavity whose boundary contains a left hostile wall on which no boundary condition can be prescribed or measured and a right accessible wall on which two boundary conditions, i.e., boundary temperature and heat flux data, are overspecified. A novel algorithm, based on a regularized dual-reciprocity boundary-element method (DRBEM), is presented. Accurate and stable numerical results at various convective Rayleigh and magnetic Hartmann numbers are reported for retrieving a discontinuous time-varying step heat flux in one example, and a uniform boundary temperature in the second example.