For a hydrodynamically and thermally fully developed laminar flow through a circular pipe of constant cross-section, the Nusselt number at constant wall heat flux $(Nu_q)$ and that at constant wall temperature $(Nu_T)$ are related as
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$Nu_q > Nu_T$
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$Nu_q < Nu_T$
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$Nu_q = Nu_T$
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$Nu_q = (Nu_T)^2$