Flow over an airfoil

Introduction:

The study of cavitation is very important as it affects mass flow rates coming into a cylinder via fuel injectors. Cavitation occurs because of sudden drop in pressure heads and this occurs because of abrupt change in flow area.

When flow area suddenly decreases, there creates a zone of low pressure or separation zone.

`ϴ= ϴ_(0 )*⍺^(-0.54)*Ψ^(-1.76)`

`dx/dt= (x ̅-x)/ϴ`

% engine parametrics using function command

function [V] = otto_cycle(bore,stroke,con_rod,cr,start_crank,end_crank)

a = stroke/2 ;    % crank pin radius

R = con_rod/a; 

theta = linspace(start_crank, end_crank, 100);

v_swept = (pi/4)*(bore^2)*stroke;

v_clearance = v_swept/(cr - 1);

% v = 1 + term1*(term2 - (term3)^0.5) where

term1 = 0.5*(cr - 1);
term2 = R + 1 - cosd(theta);
term3 = (R^2 - sind(theta).^2).^0.5;

 % V = (1 + term1*(term2 - (term3).^0.5)  % again mistake in writing a formula.

% the correct formula is :
 
 V = (1 + term1*(term2 - term3)).*v_clearance ;

end

Conclusion: