Terry A. Ring ChEN 4903 University of Utah Homework I Discussion Terry A. Ring ChEN 4903 University of Utah

What was I to learn from this HW? Learn how to do a non-linear least squares.

Comparison of Linearized and Non-linear Least Squares Linearized Fit Arrhenius Expression Non-linear Fit Which is best?

What was I to learn from this HW? Learn how to combine Non-Linear least squares with error propagation. Do Error propagation using two methods Partial derivatives G=f(y1,y2,y3,…) Excel Method fi = f(x1,x2,...,xi+si,...,xn)

Non-linear Fit Fit Results a

Error Propagation Partial Derivatives Given D=0.010±0.001 m, V= 1.0±0.2 m/s, T= 358.0±2.5 K Error (σ) in Nu [(1.198* σV)2+(0.599* σD)2+(4.872* σT)2]1/2 Since dNu/dT is the largest piece of the error It is the variable that must be better controlled to lower the total error

Error Results