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A generalized upper bound model for calculating the chip flow angle in oblique cutting using flat faced tools with single cutting edge and multiple or curved cutting edges has been developed. The chip flow angle and chip velocity are obtained by minimizing the cutting power with respect to both these variables. The chip flow angles predicted by this model show good agreement with experimental values of chip flow angles for various tool geometries and cutting conditions. The model has the potential to be extended to the more complex machining processes such as drilling and milling.