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+clc;
+clear all;
+disp("displacement thickness")
+disp("velocity distribution = u/U=y/d")
+disp("i) the displacement thickness, d*:")
+disp("d*=intergrate((1-u/U,U,0,d)")
+disp("d*=d/2")
+disp("ii) the momentum thickness, th")
+disp("th = integrate(u(1-u/U)/U,u,0,d)")
+disp("th=d/6")
+disp("iii) The energy thickness de")
+disp("de=integrate (u/U*(1-(u/U)^2),U,0,d")
+disp("de=d/4")
+disp("iv) The value of d*/th")
+disp("d*/th =3")
+
+