Greetings,
So I have an equation that I need to linearize or try to linearize. I don't think it's possible, but my boss says it is. I'm lost and thought maybe you kind people could give me a hand....
Background: I'm doing some dead end filtration experiments. The filter cake is supposed to be incompressible and my data is supposed to come out fairly linear. However, the filter cake IS compressible so my data isn't linear. I'm trying to solve for some variables that are wrapped up in K and C.
Here's the original equation: (-ΔP) = K*V + C.
Which is easy if you have a incompressible cake because K is your slope and C is your intercept. However, since it is compressible a new variable is added and the equation takes the form below. I've been playing with it for awhile now and I don't see how to get this equation into a linear form. Also, S is an unknown variable.
here's the equation: (-ΔP) = K*(-ΔP)^s*V+C
I would ask my boss, but he's gone on vacation....along with most everyone else I work with and I'd like to get this done before he comes back next week.
Soooo wanna help me earn a paycheck?