This thesis forms a report of the work carried out by the author in the development of a radial flow viscometer. This was done to supplement existing measurements made by more conventional methods and to make use of certain advantages that the method has over other forms of flow viscometers. The viscometer, which consists principally of two flat discs separated by a known distance, the fluid being forced to flow radially inward and leaving through a hole in the centre of one of the discs, has the disadvantage that there is a pressure loss due to inertia effects that cannot be expressed exactly. The author has been mainly concerned with investigating the various solutions available to determine which one agrees best with experiment. Within experimental error it was found that a solution obtained by expressing the pressure and velocities of the Wavier Stokes equations by power series was satisfactory. The author has obtained an alternative solution which, although not exact, appears to agree well with the above solution. A series of measurements of the viscosity of water in the range