Recent content by Sat D

I am currently reading this [paper by Noid et. al.](https://doi.org/10.1063/1.2938860) on the rigorous bridge between atomistic and coarse-grained simulations. In the paper, he defined a linear map from the atomistic coordinates and momenta $$\mathbf{r}^n, \mathbf{p}^n$$ to the coarse-grained...

How do you mean?

So, $$p(E) = \int \delta(E-cU) \frac{e^{-\beta E(\Gamma)}}{Z} d\Gamma$$ where ##\Gamma## is the phase-space. However, how do I simplify something like this?

If my partition function is for a continuous distribution of energy, can I simply say that the probability of my ensemble being in a state with energy ##cU## is ##e^{-\beta cU} /Z##? I believe that isn't right as my energy distribution is continuous, and I need to be integrating over small...

Let the new engine, NE, extract heat from a certain subset of these baths, and let heat obtained from the ##i^{\rm th}## bath be denoted by ##Q_i##, and let the heat rejected to the ##j^{\rm th}## be denoted by ##Q_j##. Let the engine perform an amount of work ##W##. Now right beside this...

Would we simply be using the ideal gas approximation for entropy changes here? So $$S_{w,g}(T_2,y_wP_2) = \frac{\lambda}{T_1} + C_p\ln\frac{T_2}{T_1} + R\ln \frac{P_2}{P_1}+S_{w,l}(T_1,P_1)$$ Is that right? My question is, if I looked up the value of the entropy of steam at ##T_2, y_wP_2## in...

I'll try to do case (b) first. Since it is done reversibly, I know $\Delta S = 0$. $$P_1 = 1 \rm{bar}$$ $$T_1 = 298 K$$, $$P_2 = 10 \rm{bar}$$. Since some work $W$ is being done on the system, $$U_1 + W = U_2$$. Where, $$U_1 = n_aU_{air}(T_1, P_1) + n_wU_w (T_1,P_1)$$. $$U_2 =...

I am working on a project involving a steam expansion-condensation turbine. I am the only one in on the project and I am unsure of how to start. I am trained in chemical engineering and have a black box understanding of what turbines do, but have no clue about the actual design or mechanism...

So why don't we consider the pressure that is pointing outwards while writing out the force balance equations for the pipe?

Consider the very standard pipe problem used to calculate the force required to hold a pipe with a bend that has some fluid flowing through it, as shown in the image. We use Newton's second law of motion to calculate the external force required. However, why is there pressure acting into the...