More MathJax testing

I want to write a post involving the basic equations for a reactor. First I'll create all the equations here probably. Interested in using these for the 2-fluid LFTR.

$$\dot{Q} = \dot{m} \Delta T C_p$$

That is the total power coming from the reactor. What are the limitations? A fluid core reactor has the unique distinction that the heat production rate doesn't matter at all. Instead, only absolute temperature matters, or exit temperature here.

$$T_{out}$$

For the 2-fluid LFTR, the surface flux of the fissile fluid is a limitation due to material limits of the separator between the two fluids. Additionally, the leakage has to be greater than the total fission absorption in order to have break-even breeding.

$$\dot{Q} \propto \Phi SA$$

The flow rate has other correlations.

$$\dot{m} = \rho V A$$

$$\dot{Q} = \rho V A \Delta T C_p$$

Otherwise, $V$ is limited, $\Delta T$ is limited, $C_p$ is already set by the fluid and is high for the salts in question, as well as $\rho$.