Page 237 - Introduction to Naval Architecture
P. 237

222                        PROPULSION

        velocities, the flow is along OD. The lift and drag forces on the blade
        element, area dA, shown will be:












        The contributions of these elemental forces to the thrust, T, on the
        blade follows as:












                                     Mr





          dr = i pC _        :      —1_  Mr
                "          - 2 4    o
                          sin  <f> cos p
        The total thrust acting is obtained by integrating this expression from
        the hub to the tip of the blade. In a similar way, the transverse force
        acting on the blade element is given by:










        Continuing as before, substituting for Vi and multiplying by r to give
        torque:
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