“…In the case of Equation (5.125) for the propeller penalty, the propeller roughness effects ( Δ K Q /K Q ) and ( Δ K T /K T ) can be estimated from Lerb's equivalent profi le method, from which the following relationship can be derived in association with Burrill's analysis: For the hull roughness contribution, Townsin et al (1985) shows that by assuming a constant thrust deduction factor and employing the ITTC 1978 formula for wake scaling such that w t w t C C k C C where P D is the delivered power at the propeller, C T is the ship thrust coeffi cient, C F is the ship frictional coeffi cient, C FS is the smooth ship frictional coeffi cient, J is the advance coeffi cient, P is the propeller pitch, D is the propeller diameter, Δ c d is the change in reference section drag, coeffi cient, c 1 is the reference section lift coeffi cient, Δ C FT is the increment in ship skin friction, coeffi cient in trial condition.…”