Method for Pressure Driven Mhd Duct Flow

In this paper, ve investigate the flov of a viscous, Incompresslble, electrlcally conducting fluld through a rectangular duct in the presence of a magnetic fleld, when one of the boundaries perpedlcular to the umgnetlc field is partly conducting and partly Insu/atlng, by a modified Boundary Integral Hethod. Three problems are considered (1) flov through an infinite channel, (li) flov through a rectangular duct vhen the conducting part is symmetrlcally situated, and (Ill) flow through a rectangular duct vhen the conducting part is arbltrarily positioned. Such problems have been studied before by asyptotlc means for large values of H, the Hartmann nuaber. Hoverer, the present odlflcatlon of the Boundary Integral Method renders the proble coputatlonally efficient and provides a rellable ntmerlcal solutlon for all values of H. For large M, our coputatlon tlme decreases slgnlflcantly. KEY ORDS AND NEW PHRASES. Boundary Integral method, Hl flow, and asymptotic solutlons. 1980 AMS SUBJECT CLASSIFICATION CODE. 76t/05.