- #1

- 4

- 0

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter WesleyJA81
- Start date

- #1

- 4

- 0

- #2

vela

Staff Emeritus

Science Advisor

Homework Helper

Education Advisor

- 14,996

- 1,573

[tex]\frac{\gamma}{\gamma-1}\left(\frac{p}{\rho}-\frac{p_1}{\rho_1}\right)-\frac{1}{2}\left(\frac{1}{\rho_1}+\frac{1}{\rho}\right)(p-p_1)=q[/tex]

If you let x=1/ρ, you can write the equation as

[tex]\frac{\gamma}{\gamma-1}\left(xp(x)-\frac{p_1}{\rho_1}\right)-\frac{1}{2}\left(\frac{1}{\rho_1}+x\right)(p(x)-p_1)=q[/tex]

Differentiate that equation with respect to x and solve for p'(x).

Share: