The problems concerning the curvature effects of boundary layer flow along a curved solid surface have been found in many papers. The curvature effects of compressible turbulent boundary layer flow, however, have been scarcely investigated because of its complexity. In the present paper, the effects of curvature on compressible turbulent boundary layer flow are investigated and the conditions, under which the particular solutions of energy equation exist, are derived. To describe a boundary layer flow along a curved solid surface, orthogonal curvilinear coordinates (α, β) are introduced, where α and β are the coordinates along and normal to the curved solid surface, respectively. Applying the boundary layer approximation to the basic equations of compressible turbulent flow expressed in orthogonal curvilinear coordinates, the boundary layer equations in compressible turbulent flow are derived. Introducing eddy viscosity and eddy thermal conductivity, the particular solutions of energy equation are integrated under certain conditions. It is found that the particular solutions can be obtained, when Prandtl number and turbulent Prandtl number are both unity and the α coordinate along the curved solid surface is straight line.