“…Flapping can be applied in various flow regimes to gain advantage in the overall efficiency of the wings and rotors of flying machines and turbine blades. The motion of birds and fish has been investigated in detail by previous researchers to make locomotion more efficient [ [1] , [2] , [3] , [4] , [5] , [6] , [7] , [8] , [9] , [10] , [11] , [12] , [13] , [14] , [15] , [16] , [17] , [18] , [19] , [20] , [21] ]. Various researchers have studied the effects of airfoil shape on the aerodynamic performance of airfoils [ [10] , [11] , [12] , [13] , [14] , [15] , [16] , [17] , [18] , [19] , [20] , [21] ].…”