clc; clear; D=0.1;//m H=0.3;//m v=50;//km/hr Dm=20;//mm T=20;//degree C fm=49.9;//Hz ; frequency for the model //f=func(D,H,V,d,vis) //f=T^(-1); D=l; H=L; V=L*(T^(-1)); d=M*(L^(-3)); vis=M*(L^(-1))*(T^(-1)) //by applying pi theorem, //(f*D/V)=funct((D/H),(d*V*D/vis)) //hence; Dm/Hm = D/H, dm*Vm*Dm/vism = d*V*D/vis, and (f*D/V)=(fm*Dm/Vm) Hm=(Dm*H*1000/(D*1000));//mm V=v*1000/3600;//m/s vism=1/1000;//kg/(m*s) vis=1.79/100000;//kg/(m*s) d=1.23;//kg/(m^3) dm=998;//kg/(m^3) Vm=(vism*d*D*V*1000)/(vis*dm*Dm);//m/s f=(V/Vm)*(Dm/(D*1000))*fm;//Hz disp("mm",Hm,"The model dimension =") disp("m/s",Vm,"The velocity at which the test should be performed=") disp("Hz",f,"The predicted prototype vortex shredding frequency =")