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Numerical and experimental study for heat transfer enhancement of cubical heat source and dummy elements inside rectangular duct

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Abstract

The present work introduces an experimental analysis of an array of 12 elements including two heat sources and the rest are dummy elements. The effect of the second heat source position on the heat transfer coefficient (HTC) of both heat source elements within the Reynolds number range of 4108 ≤ ReL ≤ 17,115 is studied. Moreover, 3D (CFD) numerical model is introduced and its predictions are compared with the experimental results obtained from the work on-air wind tunnel with the same array within a Reynolds number range of 3611 ≤ ReL ≤ 14,174. The standard k-ε model has a worthy agreement with the current experimental results rather than the other turbulence models. The experimental results show that the farthest the second heat source gives the highest heat enhancement of the first upstream heat source with an enhancement ratio of 17% and 10% at Re = 8538 for in-line and lateral location, respectively. Moreover, the numerical results demonstrate that when all elements in the array are heated and compared with two heat elements only, a maximum reduction of about 19%, 15% in average Nusselt number for, an in-line and lateral position obtained when the second heat element is located at position 8 and 4, respectively at Re = 17,115.

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Abbreviations

As:

Heat element surface area, m2

h:

Convection heat transfer coefficient W/m2.K

k:

Thermal conductivity, W/m.K

L:

Heat source length, m

Qnet:

Heat transfer rate, W

q´´:

Heat flux, W/m2

T:

Temperature, K

U:

Time-averaged velocity

V:

Mean velocity, m/s

NuL :

Average Nusselt number

Pr:

Prandtl number

ReL :

Reynolds number

ν:

Kinematic viscosity, m2/s

ρ:

Density, kg/m3

a:

Air

i:

Inlet

m:

Mean

STS:

Single thermal source

CFD:

Computational Fluid Dynamics

RANS:

Reynolds averaged Navier-Stokes

SHS:

Single Heat Source

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Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering at Shoubra, Benha University, Cairo, 11629, Egypt

    H. A. Refaey, Esraa Eslam, R. Y. Sakr & H. E. Abdelrahman

  2. Mechanical Engineering Department, Taibah University, Yanbu Branch, Kingdom of Saudi Arabia

    H. A. Refaey

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  1. H. A. Refaey
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  2. Esraa Eslam
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  3. R. Y. Sakr
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  4. H. E. Abdelrahman
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Correspondence to H. A. Refaey.

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Refaey, H.A., Eslam, E., Sakr, R.Y. et al. Numerical and experimental study for heat transfer enhancement of cubical heat source and dummy elements inside rectangular duct. Heat Mass Transfer 57, 1319–1328 (2021). https://doi.org/10.1007/s00231-021-03033-w

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