1-47 - 1-47 Equations Set 2 1-47 The variation of pressure...

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Unformatted text preview: 1-47 Equations Set 2: 1-47 The variation of pressure within the biosphere affects not only living things by also systems such as aircraft and undersea exploration vehicles. a) Plot the variation of atmospheric pressure (in atm) versus elevation z above sea level (in km) from 0 to 10 km. Assume that the specific volume of the atmosphere varies with the local pressure according to v=72.435/p with p in kPa and v in m3 /kg b) Plot the variation of pressure in atm versus depth (z) below sea level (in km) ranging from 0 to 2 km. Assume that the specific volume of easwater is constant at 0.956e-3 m3 /kg. dP = -(*g*dz) Note z=0 at ground level rho = 1/v = P/72.435 Thus: dP/P = (g/72.435) dz g = 9.81 m/s2 Patm,o = 101.3 [kPa] $if ParametricTable='Air' a = 72.345 kPa m3 /kg kPa kg/m s2 (3) (1) (2) ln (Patm /Patm,o ) = -g/a z 0.001 $Endif $if ParametricTable='Sea' Psea - Patm,o = g L 0.001 = 1/0.956 10-3 $endif (4) kPa kg/m s2 (5) (6) Solution g = 9.81 m/s2 Patm,o = 101.3 [kPa] Air Run 1 2 Patm [kPa] 101.3 88.45 z [m] 0 1000 3 4 5 6 7 8 9 10 Sum 77.24 67.44 58.89 51.42 44.9 39.21 34.24 29.89 593 2000 3000 4000 5000 6000 7000 8000 9000 45000 Sea Run 1 2 3 4 5 6 7 8 9 10 Sum Psea [kPa] 101.3 2382 4662 6942 9223 11503 13783 16064 18344 20624 103628 L [m] 0 222.2 444.4 666.7 888.9 1111 1333 1556 1778 2000 10000 Sea Air ...
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1-47 - 1-47 Equations Set 2 1-47 The variation of pressure...

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