An Exact Solution for Couette Shear Flow

An exact solution of velocity distribution for Couette shear flow in a non circular conduit with axial symmetry section is obtained in this paper. From the solution, velocity and flow rate for the rectangular section conduit with finite width are obtained, and it is concluded that Couette shear flow is just a special example when the width is just infinite in the rectangular section conduit flow. Further, we analyzed the error of the solution, and the range in which the formula is suitable is given. An appropriate formula which is easy to use in engineering was obtained based on the results.