The Isothermal Process

For Isothermal process, the relative temperature, $\bar{T} = 1$ . The combination of the isentropic tank and Isothermal flow in the tube is different from Fanno flow in that the chocking condition occurs at $1/\sqrt{k}$ . This model is reasonably appropriated when the chamber is insulated and not flat while the tube is relatively long and the process is relatively long.

It has to be remembered that the chamber can undergo isothermal process. For the double isothermal (chamber and tube) the equation (11.6) reduced into

$${ P(0) V(0) \over t_c R T(0) } {d{\left( {\bar{P} \bar{V} } \righ... ...(0)}}^{\rho} A {\overbrace{\sqrt{kRT(0)}}^{c(0)} } M_{max} \bar{M}(\bar{t}) = 0$$ (11.46)