A Numerical Solution for an Inverse Natural Magneto-Convection Problem
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, vol.63, no.2, pp.115-138, 2013 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 63 Issue: 2
- Publication Date: 2013
- Doi Number: 10.1080/10407790.2013.740978
- Journal Name: NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.115-138
- Van Yüzüncü Yıl University Affiliated: No
Abstract
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.