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HOMETen Types of Home Problems

Homogeneous Examples

 

Type 8 Home Problem -- Derivation of Pressure Drop in Pipes
Problems that challenge assumptions.

 

Variable definitions:

 

First, we start with our differential equation for pressure drop along a pipe:

 

Inserting , and assuming G is constant throughout the length of the pipe, we rearrange things to get:

 

Integrating over the limits(), and assuming f is constant along the pipe, we have:

 

We expect the pressure drop to be very small, so we will neglect the second term on the right-hand side. We are left with:

 

Rearranging again, we get:

 

 

Back to the Homogeneous Example 8 Solution

 


CRE Thoughts Ten Types Homogeneous Example 8