I am looking at sizing a relief system looking at thermal expansion in piping.  I have the correlation from Crowl and Louvar:

Q=(beta/density*Cp)*(UA(deltaT))
My questions are as follows:

1. Is there any correlation or charts that have the U values(Reducing Valves) for all sizes of stainless steel pipes?

2. One of the cases in question is solar radiation heating the pipe up.  Any correlations on heat input due to solar radiation?

Within a plant's boundaries, this excludes long pipelines that are measured in miles or kilometers, it is acceptable to provide a small PSV with no calculations for ambient heating thermal relief.  I have seen "small" interpreted as 1/2" to 1", with 3/4" being the most common.

The pipe is 6" Sch. 40 that holds around 45 gallons of liquid.  Problems are occuring since when this part of the line is blocked in, the valve to our reactors leak through.  We want thermal relief to prevent the valve from "leaking through" and causing process upsets.

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