SOLVING EXAMPLE QUESTION MOMENTUM EQUATION APPLIED TO PROPELLERS WITH OCTAVE GUI

Описание: hi friends..
in this video, I demonstrate my assignment which is the mechanics of fluid. in this chapter, we discuss to solve the problem of propellers that we need to solve with the momentum equation. finally, Make the coding for the Octave GUI as well.

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clear;clc

%------------------------
%Octave project for Mechanic of fluid 1
%--------------------------
%
%Mechanics of Fluids, 5th Edition and SI edition , Merle C potter
%Chapter 4 , The integralral forms of the fundamental Laws
%Subchapter of Energy Equation
%Problems 4.151
%
%---------------------------
%
%Definition of each Variable
%m_dot = mass flow Rate
%V_1 = Velocity in propeller 1
%V_2 = Velocity in propeller 2
%A = Area of the propeller
%d = Diameter of the propeller
%F = Force
%rough = density
%p_delta = Changing of Pressure
%W_dot = power of propeller
%
%To Calculate:
%The pressure (p_delta) = ?
%The required power (w_dot) = ?
%
%--------------------------

% Data givens
%rough = 1.2 kg/m^3
rough = 1.2 ; % (kg/m^3)
%v_1 = 200 km/h convert to m/s
V_1 = 200*(1000/3600) ; % (km/h)
%v_2 = 320 km/h convert to m/s
V_2 = 320*(1000/3600) ; % km/h
pi = 3.142 ;
%d = 2.2 m
d = 2.2 ; % m
%A = (pi/4)*d^2 m
A = (pi/4)*2.2^2 ; % m
%--------------------------------------
%Solution :
%
%Step 1, Find p_delta with pressure difference equation
%(p_1-p_2) = (rough/2)*(v_2^2-v_1^2)
p_delta = ((rough/2)*(V_2^2-V_1^2)) ;

%Step 2, Find propeller power using 3 equation
%Basic equation W_dot = F*V_1 from equation (4.6.21) from the textbook
%Thrust on the aircraft can be calculated by momentum equationThis equation will apply to a large control volume.
%F = m_dot*(v^2_v_1) from equation (4.6.14) from textbook
%m_dot = rough*A*V_3 from equation (4.6.24) from textbook
%From concept point 3 will be V_3=(V_1+V_2)/2

w_dot = rough*(pi/4)*(d^2)*((V_1+V_2)./2)*V_1*(V_2-V_1) ;

printf ("Velocity point 1 (V_1) = %d (m/s).\n" , V_1) ;
printf ("Velocity point 2 (V_2) = %d (m/s).\n" , V_2) ;
printf ("Pressure Difference (p_delta) = %d (pa).\n" , p_delta) ;
printf ("Power required (W_dot) = %d (W).\n" , w_dot) ;