Agree with Peter on the ...

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Agree with Peter on the limited usefulness of theoretical approach. Mainly to determine the size of the new/replacement pipe. The key issues will always be the shear stress (that was not mentioned in the original question) to make sure the solids are not settled but moved during  the normal operation of the sewer system and what can happen during the peak flow (assume it is when the rain water enters the system through the cracks and joints in the pipeline). The rest is practical design with consideration of local standards and factors. Good discussion- thanks to everyone who provided their comments!

 

Regards,  Iouri