It has been proved that a linearized theory is consistent for three dimensional lifting case at sonic and nearly sonic speeds and is also applicable to a nonlifting case in the field of Mach number nearly one which has boundaries at finite distances. In the present paper, problems of wall interference in a transonic wind tunnel are discussed by the method of linearized theory. Linearized relations are also assumed for the boundary conditions at slotted or porous walls, usually being used in transonic tunnels. It is shown that a slotted wall is better than a porous wall for lifting and nonlifting bodies in transonic range.

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The so-called Tricomi's equation for the stream function is solved analytically, subject to the boundary conditions prescribed along the axis of the symmetry, the surface of the wedge, the sonic line and the shock polar in the small disturbance plane. The system of the linear equations for the unknown coefficients of the solution is reduced from the boundary conditions along the sonic line and the shock polar. Solving these linear equations, the solution is determined and the flow patterns in the physical plane are obtained from the hodograph plane. In the analysis the wedge angle and the free stream Mach number are not involved separately but the solutions are represented by the transonic similarity parameter only.

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