Heat transfer in the thermal entrance region of circular tubes and annular passages with fully developed laminar flow

“…4.1), the present predictions and those of other investigators [9,11,17] are lower than the predictions of Kays [8]. This may be due to the large grid spacing used by Kays in his computation.…”

Section: Methods Of Solutioncontrasting

confidence: 55%

Heat transfer in in-tube flow of non-Newtonian fluids

Joshi

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“…The degree of reactant's conversion can then be calculated from Eq. (25)b for both limits with the asymptotic expressions for c 0 (0, z) presented in Ghez, 28 yielding…”

Section: Approximate Solution To Le´veˆque's Problem Under Finite Reamentioning

confidence: 96%

Approximate calculation of conversion with kinetic normalization for finite reaction rates in wall‐coated microchannels

2011

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We consider the problem of mass transfer in a channel with wall reaction and present approximate results to describe the conversion profile. We report analytical solutions in both Graetz's and Le´veˆque's regime in cases where only (semi)numerical studies have been presented before. In particular, for first-order kinetics under conditions of a fully developed concentration profile, an approximate procedure for conversion calculation is proposed for finite reaction rates. When the profile is developing, asymptotic limits are used to formulate accurate approximations in intermediate parametric ranges. Moreover, the effect of finite reaction rates in the corrections due to curvature or velocity profile nonlinearities are reported. Finally, we extend the previous results to an mth order ''power-law'' wall reaction, so that kinetic normalization is achieved in suitable limits. These results are of relevance for the modeling and simulation of processes involving catalytic monoliths or microreactors.

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Heat transfer in the thermal entrance region of circular tubes and annular passages with fully developed laminar flow

Cited by 74 publications

References 9 publications

Laminar mixed convection of TiO2–water nanofluid in horizontal uniformly heated pipe flow

Laminar mixed convection of TiO2–water nanofluid in horizontal uniformly heated pipe flow

Heat transfer in in-tube flow of non-Newtonian fluids

Approximate calculation of conversion with kinetic normalization for finite reaction rates in wall‐coated microchannels

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