Problem 3.43

# Problem 3.43 - Problem 3.43[Difficulty 3 Given Data on...

This preview shows pages 1–2. Sign up to view the full content.

Problem 3.43 [Difficulty: 3] Given: Data on isothermal atmosphere Find: Elevation changes for 3% pressure change and 5% density change; plot of pressure and density versus elevation Solution: Assumptions: Static, isothermal fluid,; g = constant; ideal gas behavior Basic equations dp dz ρ g = and p ρ R T = Then dp dz ρ g = pg R air T = and dp p g R air T dz = Integrating Δ z R air T 0 g ln p 2 p 1 = where TT 0 = For an ideal gas with T constant p 2 p 1 ρ 2 R air T ρ 1 R air T = ρ 2 ρ 1 = so Δ z R air T 0 g ln ρ 2 ρ 1 = C ln ρ 2 ρ 1 = (1) From Table A.6 R air 287 Nm kg K = Evaluating C R air T 0 g = 287 kg K 30 273 + () × K 1 9.81

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

Problem 3.43 - Problem 3.43[Difficulty 3 Given Data on...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online