using the matlab int function, calculate the average velocity of the fluid as r ranges from 0.01 to 0.1 in matlab

To calculate the average velocity of the fluid as the radius (r) ranges from 0.01 to 0.1, we can use the int function in MATLAB. Here's the step-by-step implementation:

1. Create a function that represents the velocity profile of the fluid. Let's assume the function is velocity_profile(r).

2. Define the integration limits as a and b, where a = 0.01 and b = 0.1.

3. Define the number of integration points as n, for example, n = 100.

4. Calculate the width of each integration step as delta = (b - a) / n.

5. Set an initial sum value as totalSum = 0.

6. Use a for loop to iterate through each integration step and calculate the velocity at the midpoint of each step using the velocity_profile function. Add this value to totalSum.

   main.m
   for i = 1:n
       r = a + (i - 0.5) * delta;
       totalSum = totalSum + velocity_profile(r);
   end
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7. Finally, calculate the average velocity by dividing totalSum by the number of integration steps (n).

   main.m
   averageVelocity = totalSum / n;
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Here's an example implementation in MATLAB:

main.m
function velocity = velocity_profile(r)
    % Implement your velocity profile calculation here
    velocity = ... % Your formula goes here
end

a = 0.01;
b = 0.1;
n = 100;
delta = (b - a) / n;
totalSum = 0;

for i = 1:n
    r = a + (i - 0.5) * delta;
    totalSum = totalSum + velocity_profile(r);
end

averageVelocity = totalSum / n;
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Note: Replace the ... in the velocity_profile function with your actual velocity calculation formula.