The paper studies the influence of the electrical conductivity tensor upon the motion of a fluid in a MHD generator, under the conditions shown in our preceding work. The problem is also formulated in terms of the theory of distributions and the system of equations which determines the functions Ψ = ψ + y and φ = ϕ + ϕe depends on two parameters λ and v (= ωτ). Due to the Hall current, the problem is no longer asymmetrical in the variable y, as in the first case, it therefore has to be separated into an asymmetric and a symmetric problem. Developing a method of successive approximations as against two parameters, it can be shown that the exact solution of the problem may be obtained.

In a recent paper the symmetrical bifurcation of a parallel-plate waveguide by a unidirectionally conducting half screen was considered. In the present paper the analysis is both extended to cover the more general case of an asymmetrical bifurcation, and simplified by using the straightforward version of the Wiener-Hopf technique due to D. S. Jones. Some numerical values are given for the modulus of the reflexion coefficient as a function of the position of the half screen between the parallel plates.

The theory of large elastic deformation of reinforced elastic materials is applied to discuss the rotation of a circular tube of incompressible elastic material, reinforced with inextensible cords lying along helical paths.