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Chaotic quasi-oppositional arithmetic optimization algorithm for thermo-economic design of a shell and tube condenser running with different refrigerant mixture pairs

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Abstract

This theoretical research study proposes a novel Chaotic Quasi-Oppositional Arithmetic Optimization Algorithm (COAOA) for thermo-economic optimization of a shell and tube condenser working with refrigerant mixtures. Arithmetic Optimization Algorithm (AOA) is a recently emerged metaheuristic algorithm considering different mathematical operators to optimize the candidate solutions over a wide range of search domains. The effectiveness the COAOA is assessed by applying it to a set of benchmark optimization problems and comparing the obtained solutions with that of the original AOA and its quasi-oppositional variant. The COAOA has been employed to acquire the minimum value of the total annual cost of the shell and tube condenser by iteratively varying nine decision variables of mass flow rate, shell diameter, the tube inside diameter, tube length, number of tube passes, tube layout, tube pitch ratio, the total number of baffles, and diameter ratio. Three different case studies are solved using different refrigerant pairs used for in-tube flow to show the proposed metaheuristic optimizer’s efficiency and effectivity on real-world mixed-integer optimization problem. Optimal results retrieved for different mixture pairs with varying mass fractions are compared with each other, and parametric configuration yielding the minimum total cost is decided. Finally, a comprehensive sensitivity analysis is performed to investigate the influences of the design variables over the considered problem objective. Overall analysis results indicate that COAOA can be an excellent optimizer to obtain a shell and tube condenser’s optimal configuration within a reasonable computation time.

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Abbreviations

A :

Heat exchange area (m2)

A s :

Cross-sectional area normal to the shell flow direction (m2)

B :

Baffle spacing (m)

C e :

Energy cost (€/kWh)

C i :

Capital investment cost (€)

C min :

Heat capacity (J/K)

C o :

Annual operating cost (€/year)

C od :

Total discounted operating cost (€)

C p :

Specific heat (J/kgK)

C tot :

Total annual cost (€)

D e :

Equivalent shell diameter (m)

D s :

Shell diameter (m)

d :

Tube diameter (m)

f :

Friction factor

G :

Mass velocity (kg/m2s)

g :

Gravitational acceleration (m/s2)

H :

Annual operating hours (h/year)

h :

Heat transfer coefficient (W/m2K)

i :

Annual discount rate (%)

K 1 :

Model coefficient

k :

Thermal conductivity (W/mK)

L :

Total tube length (m)

\(\dot{m}\) :

Mass flow rate (kg/s)

ny :

Equipment life (year)

n 1 :

Model coefficient

N tube :

Number of tubes

N pass :

Number of tube passes

NTU :

Number of transfer units

p crit :

Critical pressure (Pa)

P t :

Tube pitch (m)

PP :

Pumping power (W)

Pr :

Prandtl number

p r :

Reduced pressure

p sat :

Saturation pressure (Pa)

Q :

Heat load (W)

Re :

Reynolds number

R fs :

Shell side fouling factor (m2K/W)

R ft :

Tube side fouling factor (m2K/W)

STHE :

Shell and tube heat exchanger

T :

Temperature (K)

U o :

Overall heat transfer coefficient (W/m2K)

v :

Fluid velocity (m/s)

x :

Vapor quality

x:

Mass fraction of the refrigerant in the mixture

∆p frict :

Frictional pressure drop (Pa)

∆p mom :

Momentum pressure drop (Pa)

∆p static :

Static pressure drop (Pa

ε :

Void fraction

η :

Pump efficiency

μ :

Viscosity (Pa.s)

ρ :

Density (kg/m3)

σ :

Surface tension (N/m

cond:

Condensation

e :

Equivalent

i :

Inlet

in :

Inner

l :

Liquid

o :

Outlet

out:

Outer

s :

Shell side

t :

Tube side

v :

Vapor

w :

Wall

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Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering, Ege University, Bornova, Izmir, Turkey

    Mert Sinan Turgut

  2. Department of Industrial Engineering, Faculty of Engineering and Architecture, Izmir Bakircay University, Menemen, Izmir, Turkey

    Oguz Emrah Turgut

  3. Faculty of Computer Sciences and Informatics, Amman Arab University, Amman, 11953, Jordan

    Laith Abualigah

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Turgut, M.S., Turgut, O.E. & Abualigah, L. Chaotic quasi-oppositional arithmetic optimization algorithm for thermo-economic design of a shell and tube condenser running with different refrigerant mixture pairs. Neural Comput & Applic 34, 8103–8135 (2022). https://doi.org/10.1007/s00521-022-06899-x

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  • DOI: https://doi.org/10.1007/s00521-022-06899-x

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