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//Fluid Systems - By Shiv Kumar
//Chapter 17- Dimensional and Model Analysis
//Example 17.19
//To Find the Speed of Air in Wind Tunnel and Determine the The Ratio of Drag(Resistance) between the Model and its Prototype.
clc
clear
//Given:-
Lr=30; //Scale Ratio (Lp/Lm)
//For Model ( Working Fluid is Air),
nu_m=0.016; //Kinematic Viscosity of Air, Stoke
rho_m=1.24; //Density of Air, Kg/m^3
//For Prototype ( Working Fluid is Sea Water),
Vp=10; //Speed of Sub-marine (Prototype), m/s
nu_p=0.012; //Kinematic Viscosity of Sea Water, Stoke
rho_p=1030; //Density of Sea Water, Kg/m^3
//Computations:-
//From Reynold's Law of Similarity,
Vm=Vp*(nu_m/nu_p)*Lr; //Velocity of Air, m/s
Fp_by_Fm=(rho_p/rho_m)*Lr^2*(Vp/Vm)^2; //Ratio of Drag Force (Resistance)
//Results:-
printf("The Speed of Air in Wind Tunnel, Vm=%.f m/s\n",Vm)
printf("The Ratio of Drag Force (Resistance), Fp/Fm=%.3f \n",Fp_by_Fm)
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