Differential Cartesian Coordinates Into Cylindrical Coordinates

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Homework Help Overview

The discussion revolves around converting differential Cartesian coordinates into cylindrical coordinates, specifically in the context of transport phenomena as outlined in a textbook.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to understand how to convert velocity components from Cartesian to cylindrical coordinates, particularly focusing on the relationships between the components and questioning how to derive the angular component.

Discussion Status

Some participants are actively engaging with the problem, seeking to clarify the relationships between the different coordinate systems. Guidance has been offered to set up relevant quantities and relationships, indicating a collaborative effort to explore the topic further.

Contextual Notes

There appears to be some uncertainty regarding the conversion of specific velocity components, particularly the transition from Cartesian subscripts to cylindrical coordinates. Participants are navigating through the definitions and relationships involved in this conversion.

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Has to convert B6-1 into B6-2 Source Transport Phenomenon 2nd ed -

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I can't even start solution
No idea how to convert subscipt from vx to vr and or to vtheta?
 
You are to find the radial component of the transport equation.

Set up the relevant quantities and relationships, then we'll help you.
 
In the first equation: substitute Vx = Vr * Cos (theta) Vy = Vr * Sin (theta) Vz = Vz

but how do I get V(theta)
 

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