Magnetohydrodynamics (MHD) is the study of dynamics of electrically conducting fluids interacting with electromagnetic fields. Basically, the MHD equations can be obtained by coupling the incompressible Navier-Stokes equations for conducting fluid with Maxwell’s equations for electromagnetic field through Ohm’s law. In this talk, we will consider the steady incompressible MHD flowing through pipes under a transverse electromagnetic field. We will show that under some assumptions, the problem can be reduced to a strongly coupled system of singularly perturbed convection-diffusion equations.