Effects of Dean Number and Curvature on Fluid Flow through a Curved Pipe with Magnetic Field

Numerical study is performed to investigate the Magnetohydrodynamics fluid flow through a curved pipe with circular cross-section under various conditions. Spectral method is applied as a main tool for the numerical technique; where, Fourier series, Chebyshev polynomials, Collocation methods, and Iteration method are used as secondary tools. The Magnetohydrodynamics incompressible viscous steady flow through a curved pipe with circular cross-section is investigated numerically to examine the combined effects of high Dean Number Dn, magnetic parameter Mg and non- dimensional curvature δ. The flow patterns have been shown graphically for large Dean Numbers as well as magnetic parameter and a wide range of curvatures 0.01 ≤ δ ≤ 0.4 .Two vortex solutions have been found. Axial velocity has been found to increase with the increase of Dean Number and decrease with the increase of curvature and magnetic parameter. For high magnetic parameter, Dean Number and low curvature almost all the fluid particles strength are weak.