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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 73, 2018 - Issue 3
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Original Articles

Estimation of heat transfer coefficient of forced-air cooling and its experimental validation in controlled processing of forgings

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Pages 163-176 | Received 23 Sep 2017, Accepted 20 Dec 2017, Published online: 16 Jan 2018
 

ABSTRACT

Estimation of the cooling efficiency of an accelerated air for the needs of cooling of die forgings is presented. Temperature dependence of heat transfer coefficient (HTC) was calculated for different cooling conditions varied by airflow velocity, covering the range from 18 to 48 m/s. Time–temperature measurements performed on a full-scale semi-industrial cooling line provided similarity to conditions typical of industrial conveyor, which gives the results utilitarian significance in design of controlled processing (of steel forged products). Acquired HTC values, ranging from 164.7 to 298 W/m2 · K, were validated in numerical simulation of cooling complex-shape forgings and subject to experimental verification, indicating perfect agreement with physical measurements.

Nomenclature

a=

thermal diffusion coefficient

cp=

specific heat

d=

diameter of test probe

K=

number of time steps

np.=

number of grid space

R=

radius of test probe

R2=

correlation coefficient

T=

temperature

t=

time

Tmeasured=

measured temperature

Tp=

surface temperature

v=

cooling rate

Subscripts=
i=

index of space point

Superscripts=
k=

index of time point

Greek symbols=
α=

heat transfer coefficient

β=

non-negative coefficient

Δt=

time interval

Δr=

radius interval

λ=

thermal conductivity

ρ=

density

Nomenclature

a=

thermal diffusion coefficient

cp=

specific heat

d=

diameter of test probe

K=

number of time steps

np.=

number of grid space

R=

radius of test probe

R2=

correlation coefficient

T=

temperature

t=

time

Tmeasured=

measured temperature

Tp=

surface temperature

v=

cooling rate

Subscripts=
i=

index of space point

Superscripts=
k=

index of time point

Greek symbols=
α=

heat transfer coefficient

β=

non-negative coefficient

Δt=

time interval

Δr=

radius interval

λ=

thermal conductivity

ρ=

density

Acknowledgments

Special thanks are addressed to T. Skowronek, Ł. Lisiecki, and P. Micek.

Additional information

Funding

Financial assistance from the National Centre of Research & Development (NCBiR) in Poland within project PBS2/B5/29/2013 (agr. 19.19.110.86730) is gratefully acknowledged.

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