Change in Internal Energy in Accelerated Gas Chambers

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SUMMARY

The discussion focuses on the change in internal energy of two toroidal insulated closed pipes containing equal amounts of ideal gas when subjected to angular acceleration (w radians per second). One pipe has an adiabatic partition wall, while the other does not. The participants explore how internal energy changes in both scenarios, emphasizing the need to calculate the change in internal energy per second while ignoring viscous drag. The conversation highlights the analogy between angular acceleration in gas chambers and linear motion in a gas cabin.

PREREQUISITES
  • Understanding of thermodynamics, specifically internal energy concepts
  • Familiarity with ideal gas laws and properties
  • Knowledge of angular motion and acceleration
  • Basic principles of adiabatic processes in thermodynamics
NEXT STEPS
  • Study the principles of thermodynamics related to internal energy changes
  • Learn about adiabatic processes and their effects on gas behavior
  • Explore angular motion dynamics in closed systems
  • Investigate the relationship between linear and angular acceleration in gas chambers
USEFUL FOR

Physicists, mechanical engineers, and students studying thermodynamics and fluid dynamics, particularly those interested in the behavior of gases under rotational motion.

gianeshwar
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Summary:: How internal energy changes in a acclerated cabin.

There are two tourus shaped insulated closed pipes containing equal amounts of ideal gas under same conditions.
B has a adiabatic partion wall.
If both are to change angular velocity by w radians per second.
How internal energies will change in both?
 

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What are your thoughts on this so far? Is the torus insulated? Is the gas considered to have viscosity? is this supposed to be a qualitative comparison?
 
Last edited:
Chestermiller said:
What are your thoughts on this so far? Is the torus insulated? Is the gas considered to have viscosity? is this supposed to be a qualitative comparison?
Sorry for hurridly writing the question .Here , w is angular acceleration of taurus w.r.t a perpendicular axis to plane of taurus through centre. Ignore viscus drag.
I need to calculate change in internal energy per second in both cases.
Not getting idea to start.
My basis of thinking is an analogous process in linear motion of a cabin of gas when the cabin gets acclerated linearly.
 
gianeshwar said:
Sorry for hurridly writing the question .Here , w is angular acceleration of taurus w.r.t a perpendicular axis to plane of taurus through centre. Ignore viscus drag.
I need to calculate change in internal energy per second in both cases.
Not getting idea to start.
My basis of thinking is an analogous process in linear motion of a cabin of gas when the cabin gets acclerated linearly.
What is the exact word-for-word statement of this problem?
 

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