Find the difference in pressure between each atmosphere

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SUMMARY

The discussion focuses on calculating the pressure difference between two atmospheric conditions: ISA +30C and ISA tropical Maximum at an altitude of 16,000 m. The tropopause altitude is identified as 11 km for ISA +30C and 11.54 km for the tropical maximum, leading to a temperature of -30C in the stratosphere. The participants emphasize the need for an ISA chart to determine density but note its absence in exams, prompting a discussion on alternative methods such as integrating the barotropic equation using the known temperature profile.

PREREQUISITES
  • Understanding of the International Standard Atmosphere (ISA) model
  • Knowledge of barotropic equations in atmospheric science
  • Familiarity with temperature profiles in the troposphere and stratosphere
  • Ability to interpret atmospheric density and pressure relationships
NEXT STEPS
  • Study the derivation and application of the barotropic equation in atmospheric pressure calculations
  • Learn how to utilize ISA charts for atmospheric density and pressure analysis
  • Research the effects of temperature profiles on atmospheric pressure at various altitudes
  • Explore alternative methods for estimating atmospheric density without ISA charts
USEFUL FOR

Aerospace engineers, meteorologists, and students studying atmospheric science who need to understand pressure variations in different atmospheric conditions.

MattH150197
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Homework Statement


There are two similar atmosphere ISA +30C and ISA tropical Maximum, they have identical:
Mean Sea level conditions, same basic shape of temperature profile and same lapse rate in troposphere. The difference is the altitude of the tropopause and hence a different temperature in the stratosphere if that temperature in the tropical maximum is -30C find the difference in pressure between the two conditions at an altitude of 16,000 m.

Homework Equations

The Attempt at a Solution


So the tropopause is at an alitutde of 11km for ISA + 30C and 11.54km for tropical maximum after which the atmosphere is isothermal. So i can do the question now with resource of an ISA chart available where i can find the appropriate density for the altitude however we don't get an ISA chart in the exam and since the density lapse rate isn't a uniform one how would i know the value of the density to use or is there another method to find the pressure?
 
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If you know the temperature profile, then you have everything you need to integrate the barotropic equation
 
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