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Energy and Exergy Analysis of an Annular Thermoelectric Heat Pump

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Abstract

In this paper, the concept of an annular thermoelectric heat pump (ATEHP) has been introduced. An exoreversible thermodynamic model of the ATEHP considering the Thomson effect in conjunction with Peltier, Joule and Fourier heat conduction has been investigated using exergy analysis. New expressions for dimensionless heating power, optimum current at the maximum energy, exergy efficiency conditions and dimensionless irreversibilities in the ATEHP are derived. The results show that the heating power, energy and exergy efficiency of the ATEHP are lower than the flat-plate thermoelectric heat pump. The effects of annular shape parameter (S r  = r 2 /r 1), dimensionless temperature ratio (θ = T h /T c) and the electrical contact resistances on the heating power, energy/exergy efficiency of an ATEHP have been studied. This study will help in the designing of actual ATEHP systems.

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Abbreviations

r :

Radius (m)

A :

Area (m2)

Ex:

Exergy (W)

I :

Current (A)

Irr:

Irreversibility (W)

K :

Thermal conductance (W/K)

P :

Electrical power (W)

Q :

Heat (W)

R :

Electrical resistance (Ω)

S :

Entropy (W/K)

T :

Temperature (K)

Z :

Figure of merit (K−1)

θ :

Dimensionless temperature (theta)

α :

Seebeck coefficient (V/K)

η :

Energy efficiency

k :

Thermal conductivity (W/mK)

ρ :

Electrical resistivity (Ωm)

σ :

Electrical conductivity (S/m)

Δ:

Difference

Ψ:

Exergy efficiency

φ :

Angle

τ:

Thomson coefficient (V/K)

δ :

Thickness (m)

1:

Inner

2:

Outer

a:

Environment

c:

Cold side of TEHP

d:

Destroyed

dr:

Infinitesimal

gen:

Generation

h:

Hot side of TEHP

in:

Input

loss:

Loss

m:

Mean

n :

n type material

o:

Reference

out:

Output

p :

p type material

storage:

Storage

t :

Total

M:

Maximum energy efficiency condition

Qh:

Heating power

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Author notes

  1. S. Manikandan

    Present address: Centre for Energy Studies, WS-207, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, 110016, India

Authors and Affiliations

  1. Centre for Energy Studies, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, 110016, India

    S. C. Kaushik, S. Manikandan & Ranjana Hans

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  1. S. C. Kaushik
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Kaushik, S.C., Manikandan, S. & Hans, R. Energy and Exergy Analysis of an Annular Thermoelectric Heat Pump. J. Electron. Mater. 45, 3400–3409 (2016). https://doi.org/10.1007/s11664-016-4465-x

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