Effective restraint to the transition to turbulence of an electrically-conductive fluid flow can be achieved by applying a stationary magnetic field, which is not simply aligned along the streamwise or transverse flow direction, but along a direction that forms an angle with the main fluid flow in the range of 0° (streamwise) to 90° (transverse). The smoothed particle hydrodynamic (SPH) numerical technique is used to interpret this concept and to analyze the magnetic conditions. SPH simulations with respect to planar channel flow reveal, when this angle falls in the range of 20° to 50°, the transition to turbulence in a fluid flow of Reynolds number 10⁴ is effectively suppressed by an applied magnetic field that has a Stuart number of 40. To obtain an effective restraint to the transition to turbulence, a sufficiently strong magnetic field is required; however, the applied angle of a particular magnetic field has the ability of increasing its effective range.

smoothed particle hydrodynamics, magnetohydrodynamics, transition to turbulence, channel flow, simulation.