Where Did the R's Come From in the Transport Phenomenon Problem?

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SUMMARY

The discussion centers on the derivation of the second step in the Transport Phenomenon problem, specifically addressing the origin of the 'r's in the numerator when dividing by the volume of the shell. The 'r' represents the radial distance from the center of the shell, which is crucial for understanding the volume calculation. Participants clarify that this 'r' is carried over from the previous equation, emphasizing its role in accurately representing the physical dimensions involved in the problem. This clarification is essential for grasping the mathematical framework of Transport Phenomena.

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  • Familiarity with calculus, particularly volume integrals
  • Knowledge of shell volume calculations in three-dimensional space
  • Basic grasp of dimensional analysis in physics
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buchi
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i got this from my notws and i just can't seem to figure out how the second step is obtained? can someone explain to me where the where r's in the numerator came from on the second line when dividing by the volume of the shell?
 

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That is the original r from the previous equation.
 

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