MATLAB: Function handle error with matirx

function handles

i get the error below, any ideas where i've gone wrong? Also with the way i've wrote my D & L vectors will D(1) and the corresponding L(1) be used together in further calculations.
%F  ZERO cannot continue because user supplied function_handle ==>      %@(x)1/sqrt(x)+2*log10(eoverD/3.7+2.51/Re/sqrt(x))
%failed with the error below.
%Matrix dimensions must agree.
%Error in ==> Q1_check_2 at 22
%f = fzero(darbyFormula,4);
    D = [0.1, 0.2, 0.05, 0.15]; 
    L = [10, 3, 4, 8]; 
    A = 0.25*pi.*D.^2; 
    e = 0.0015e-3; 
    rho = 998; 
    nu = 1.01e-6;  
    eoverD = e./D;
    alpha = 0.1;
    %

    Vo = 2;
    for Vn = 2:0.1:30;. 
    Re = (D.*Vo) / nu;
    if Re < 2300
    f = 64 / Re;
    else
       darbyFormula = @(x) 1/sqrt(x)+2*log10(eoverD/3.7 + 2.51/Re/sqrt(x));
    f = fzero(darbyFormula,0.01);
    end
    %
    dPloss = (f*rho*(L./D)) * ((Vn.*Vo)./2);
    Va = (alpha*Vn)+((1-alpha)*Vo); 
    Vo = Va;
    end

Best Answer

You cannot call fzero() with Re as a vector, in the way that you have done. You need to solve for each value of Re individually. (Also, your if statement will not work as you intend, as written.)
Rather than trying to do all values of (D,L) at once, I suggest you just write a loop over those values.
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