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Function With While Loop Help

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Hello--
So I need to calculate time, flow rate, height, and velocity of water exiting a cylindrical container until the container is empty. I must use a while loop within a function to do so. I am supposed to break the loop once h (height) is slightly larger than 0 so h>0. I need to define a counting variable and start at t = 0.
This is my code for the function so far:
function [Q,h,t,V] = hw4_func_BDP(Initial_Height,Outer_D,Inner_D)
p = 1000; %(kg/m^3) pressure of water
g = 9.81; %(m/s^2) acceleration due to gravity
k = ((d^2)/(D^2))*sqrt(2*g); %constant with diameters of large hole vs exit hole
%Outputs (all vectors)
t = 0 %Time
h = sqrt(h0-.5*k.*t).^2 %Fluid Height
V = sqrt(2*g.*h) %Velocity
Q = pi*(Inner_D/2)^2 .*V %Flow Rate
j = 1
while h > 0
%I am uncertain what to do here
j = j+1
end
The inputs in my script are:
h0 = 2; %initial height
D = 1; %outer diameter
d = .1; %inner diameter
Also, I am supposed to calculate these as vectors, should I define them in my script as blank vectors before hand? Like t = [] h = [] V = [] Q = []
Please help!!

Accepted Answer

Walter Roberson
Walter Roberson on 17 Feb 2019
At each step, you can determine h (height) by knowing the current volume remaining and knowing the cross-section area of the vessel. At each step, the volume reduces by the flow rate multiplied by the time step.
  4 Comments
Brian Peoples
Brian Peoples on 18 Feb 2019
Oh and the question says we can assume pressure on the top and the bottom is 0Pa

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More Answers (1)

Brian Peoples
Brian Peoples on 18 Feb 2019
Screen Shot 2019-02-17 at 9.48.24 PM.png
  3 Comments
Brian Peoples
Brian Peoples on 18 Feb 2019
So I am asking about e. on the third page. I can't figure this out.....

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