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In this paper, we describe the shape identification of a channel in incompressible viscous flow considering a rotational body. The purpose of this study is to obtain an optimal shape that will closely approach the target velocity in the target regions. The incompressible Navier Stokes equations are employed as the governing equations, and the adjoint variable method is applied to obtain the sensitivity for the optimal shape. The traction method is used to control the numerical oscillations ofdoi:10.14495/jsiaml.11.69 fatcat:eykvvqzf6faozk5n76qf6ldqse