Hydraulic resistance of rough channels with the flow of an incompressible current-conducting liquid in the presence of a constant transverse magnetic field

Abstract

The article discusses new results of an investigation of the hydraulic resistance of channels with artificial roughness. On the basis of the experimental data, a conclusion is drawn with respect to the insignificant role of the forces of inertia in comparison with other forces under laminar flow conditions. An analogy is brought out between Hartmann flow around elements of the roughness and the flow of a free MHD stream around bodies, for cases where the height of the elements of the roughness is much greater than the thickness of the gradient layer 〈k〉≫H⁻¹. This opens up additional possibilities for studying MHD flow around bodies with large Reynolds and Hartmann numbers. Dependences are given for determining the resistance coefficient. It is shown that, in a turbulent flow zone, for a majority of rough channels, the experimental data on the resistance coefficient are correlated satisfactorily in the form of a linear dependence on the Stuart number.