Recent content by JMS1

For even polynomials I have ##x## intercepts at ##-1## and ##1##. For odd polynomials I put a double ##x## intercept at ##1## or in other words it's both an ##x## intercept and a zero slope point. . The scalar for the highest order term or ##a_n## is always ##1##. That leaves ##n-2## degrees of...

It works! It looks simple and robust enough to be applied to a general case, thanks. BTW: for future reference or google searching for help, what would you call this system?

I could, but how? Taking the example I gave of the function ##f(x)=(x-1)(x+1)(x-.2-.2i)(x-.2+.2i)##, or otherwise written ##f(x)=x^4-.4x^3-.76x^2+.4x-.24##, I get the derrivitive ##f'(x)=4x^3-1.2x^2-1.52x+.4##. taking the value at ##x=.2## I get ##y=.08##. Subtracting this from the derivative I...

I'm a programmer looking for a way to create polynomial equations from a list of x intercepts and local maxima. For the sake of discussion we can begin with a function of degree 4. The scale and position of the curve is unimportant so for simplicity's sake the curve can always have x intercepts...

So Starting with a know T3 and p3 I find the specific entropy going in. Using known T4 and p4 I find the mixture quality factor that corresponds to that ideally unchanged specific entropy. I find the specific enthalpy of the initial gas h3, then the specific enthalpy of the final liquid-gas...

Ok, so I use the the isentropic relation T4/T3 = (p4/p3)^((k-1)/k) to solve for the new T4 and I should be able to use your formulas to find first the mixture quality factor x and then h4.

Sorry about the confusion. We could use this as a diagram: https://upload.wikimedia.org/wikipedia/commons/0/00/Rankine_cycle_layout.png The temperature of the condenser itself should determine the temperature of the condensate T1 as well as making the pressure in the condenser subsystem equal...

So I gather that the p1 and T1 are fixed by the vaporizer. You're sure that the temperature at the condenser fixes T2 and not p2?

Yes it is a Rankine cycle (sorry for not specifying) Like I said this is back of the envelope to see if the theory works. I don't have a prototype model to measure. What I'm interested in is the maximum theoretical output for an idealized system. An upper limit on reality basically. The...

I'm doing some back of the envelope calculations for the potential of a turbine thermal generator using ammonia as a working fluid. I've never done thermodynamics before so I'm looking for a reality check. Isotropic turbine work done by a unit mass is given as h2 - h1 or simply dh between the...