Heat transfer and reaction in laminar tube flow

AIChE Journal ◽  
1966 ◽  
Vol 12 (2) ◽  
pp. 213-220 ◽  
Author(s):  
R. I. Rothenberg ◽  
J. M. Smith
Keyword(s):  
Heat Transfer ◽  
Tube Flow ◽  
Laminar Tube Flow

An Effective Specific Heat Model of the Heat Transfer in a Micro-PCM Suspension in Laminar Tube Flow

2002 ◽  
Author(s):  
James C. Mulligan ◽  
Richard D. Gould
Keyword(s):  
Heat Transfer ◽  
Nusselt Number ◽  
Specific Heat ◽  
Computational Analysis ◽  
Heat Rate ◽  
Tube Flow ◽  
System Flow ◽  
Effective Specific Heat ◽  
Latent Effects ◽  
Laminar Tube Flow

An “effective” specific heat model of the heat transfer in the thermal entry region of a laminar tube flow carrying a microPCM fluid is presented. The model is in an analytical format and intended to be easy to apply. It is based on classical Graetz theory, along with a computational analysis of entry region heat transfer that includes the latent effects contributed by a suspended microPCM. Generally, the Nusselt number of a microPCM fluid is shown to be of the following general form Nu = f(Gr, L, P), where Gr is the classical Graetz number, and L and P are Stefan-like parameters defined as: Fλ/Cp(Tl−Ts) and Cp(Ts−Tin)/(q/m)˙, respectively. Here F is the fraction of PCM in the suspension, λ the latent heat, and q/m˙ the ratio of the system heat rate to the system flow rate.

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