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Study on transient local entropy generation in pulsating fully developed laminar flow through an externally heated pipe

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Abstract

This study presents the investigation of transient local entropy generation rate in pulsating fully developed laminar flow through an externally heated pipe. The flow inlet to the pipe is considered as pulsating at a constant period and amplitude (only the velocity oscillates). The simulations are extended to include different pulsating flow cases (sinusoidal flow, step flow, and saw-down flow). To determine the effects of the mean velocity, the period and the amplitude of the pulsating flow on the entropy generation rate, the pulsating flow is examined for various cases of these parameters. Two-dimensional flow and temperature fields are computed numerically with the help of the fluent computational fluid dynamics (CFD) code. In addition to this CFD code, a computer program has been developed to calculate numerically the entropy generation and other thermodynamic parameters by using the results of the calculations performed for the flow and temperature fields. In all investigated cases, the irreversibility due to the heat transfer dominates. The step flow constitutes the highest temperature (about 919 K) and generates the highest total entropy rate (about 0.033 W/K) within the pipe. The results of this study indicate that in the considered situations, the inverse of square of temperature (1/T 2) is more dominant on the entropy generation than the temperature gradients, and that the increase of the mean velocity of the pulsating flow has an adverse effect on the ratio of the useful energy transfer rate to irreversibility rate.

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Abbreviations

A :

area

Be :

Bejan number

C P :

specific heat

CFD:

computational fluid dynamics

\(\dot{I}\) :

irreversibility rate

J :

Period number

L :

length of pipe

m :

mass

\(\dot{m}\) :

mass flow rate

M :

Merit number

N :

any integer number

P :

pressure

q′′:

heat flux per unit area

\(\dot{Q}\) :

heat transfer rate

\(\dot{Q}_{\text{a}}\) :

exergy transfer rate

r :

radial distance

Δr :

radial step

R :

radius of pipe

R :

ideal gas constant

S′′′gen :

volumetric entropy generation rate

\(\dot{S}_{{\rm gen}}\) :

integrated entropy generation rate

S gen :

integrated entropy generation

t :

time

Δt :

time step

T :

temperature

u :

velocity component in the axial direction

U :

axial inlet velocity

UDF:

user defined function

v :

velocity component in the radial direction

V :

volume

x :

axial distance

ϕ:

arbitrary variable

Φ:

viscous dissipation

λ:

thermal conductivity

μ:

dynamic viscosity

ρ:

density

τ:

period

ψ:

arbitrary field variable

*:

normalized

0:

base or initial

amb:

ambient

A:

amplitude

avg:

average

awa:

area-weighted average

eff:

effective

fric:

friction

H:

highest

heat:

heat transfer

in:

inlet

j :

cell number

L:

lowest

M:

mean or vertical shift

max:

maximum

op:

operation condition

out:

out

w:

wall

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Authors and Affiliations

  1. Erciyes Üniversitesi Mühendislik Fakültesi, 38039, Kayseri, Turkey

    Hüseyin Yapıcı, Nesrin Kayataş, Gamze Baştürk & Nafiz Kahraman

Authors
  1. Hüseyin Yapıcı
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  2. Nesrin Kayataş
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  3. Gamze Baştürk
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  4. Nafiz Kahraman
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Correspondence to Hüseyin Yapıcı.

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Yapıcı, H., Kayataş, N., Baştürk, G. et al. Study on transient local entropy generation in pulsating fully developed laminar flow through an externally heated pipe. Heat Mass Transfer 43, 17–35 (2006). https://doi.org/10.1007/s00231-006-0081-2

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  • DOI: https://doi.org/10.1007/s00231-006-0081-2

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