# Recent content by Mr. Cosmos

1. ### Force Produced from Fluid Motion

But it is certainly possible to have a flow situation in a closed volume where the velocity vectors do not sum to zero.

5. ### Atomic Conservation in Ionized Hydrogen Gas

Dear all, So I have a question concerning atomic conservation in an ionized hydrogen gas. So imagine we have ## H_2 ## initially. Later the gas is taken to an appreciable temperature such that at equilibrium the following species are present, ## e^-, \ H, \ H^+, \ H_2, \ H^-, \ \text{and} \...
6. ### Specific Heat Capacity for Gas

Thanks for the quick reply. I guess my confusion was with the appropriate definitions of the heat capacities being state variables. In my textbook the heat capacities are declared as non-state variables, and the same is said here, https://www.grc.nasa.gov/www/k-12/airplane/specheat.html However...
7. ### Specific Heat Capacity for Gas

So I have a question regarding the specific heat capacities in thermodynamics. In general the specific heat capacities for a gas (or gas mixture in thermo-chemical equilibrium) can be expressed as, ## c_p = \left(\frac{\partial h}{\partial T}\right)_p \qquad \text{and} \qquad c_v=...
8. ### How to convert Euler Equations to Lagrangian Form?

So I played around with the equations and with the aid of my fluid mechanics book I figured it out. One must realize that the Lagrangian time derivative is related to the Eulerian time derivative by, \left(\frac{\partial f}{\partial t}\right)_L = \left(\frac{\partial f}{\partial t}\right)_E +...
9. ### How to convert Euler Equations to Lagrangian Form?

I am not entirely sure how to convert the conservation of mass and momentum equations into the Lagrangian form using the mass coordinate h. The one dimensional Euler equations given by, \frac{\partial \rho}{\partial t} + u\frac{\partial \rho}{\partial x} + \rho\frac{\partial u}{\partial x} = 0...