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//Fluid Systems - By Shiv Kumar
//Chapter 17- Dimensional and Model Analysis
//Example 17.24
//To Find the Prototype to Model Scale Ratios for : (i)Velocity (ii)Time (iii)Acceleration (iv)Force . and Wave Height and Time taken for Model.
clc
clear
//Given Data:-
Lr=50; //Scale Ratio (Lp/Lm)
//For Prototype,
Hp=1.5; //m
Tp=25; //Seconds(s)
//Computations:-
Vr=Lr^(1/2); //Velocity Ratio
Tr=Lr^(1/2); //Time Ratio
ar=Vr/Tr; //Acceleration Ratio
Fr=Lr^3; //Force Ratio
Hm=Hp/Lr; //m
Tm=Tp/Tr; //Seconds(s)
//Results:-
printf("(i)Velocity Ratio, Vr=%.2f\n (ii)Time Ratio, Tr=%.2f \n (iii)Acceleration Ratio, ar=%.f \n(iv)Force Ratio, Fr=%.f\n\n ",Vr,Tr,ar,Fr)
printf("Wave Height in the Model, Hm=%.2f m\n",Hm)
printf("Time taken in the Model, Tm=%.2f s",Tm) //The Answer Vary due to Round off Error
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