Multiple solutions of steady MHD flow of dilatant fluids

Zakia Hammouch (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée

In this paper we consider the problem of a steady MHD flow of a non-Newtonian power-law and electrically conducting fluid in presence of an applied magnetic field. The boundary layer equations are solved in similarity form via the Lyapunov energy method, we show that this problem has an infinite number of positive global solutions.

Mots clés: Similarity solution; Asymptotic solution; Boundary-layer; Degenerate differential equation; MHD flow; Power-law fluid; Similarity solution.

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Zakia Hammouch. Multiple solutions of steady MHD flow of dilatant fluids. European Journal of Pure and Applied Mathematics, 2008, 1 (2), pp.11-20. ⟨hal-00252012v3⟩