Exergy analysis of Shell and helical coil heat exchanger and design optimization

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Exergy analysis of Shell and helical coil heat exchanger and design optimization Audai Hussein Al-Abbas 1

&

Akeel Abbas Mohammed 1 & Atheer Saleh Hassoon 1

Received: 24 March 2020 / Accepted: 30 October 2020 # Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract In this study, experimental investigations and exergy analysis on shell and helically coiled tube heat exchanger are carried out for free convection heat transfer. The measured data are totally optimised utilizing thermodynamics rules in which exergy study is performed to investigate the thermal performance of the helical system under different operating conditions. The experimental set-up of apparatus are designed and made for cold water and hot water as a working fluid of both the shell side and helical coil side, respectively. The effects of several parameters such as geometry and operational conditions on the exergy destruction and dimensionless exergy destruction are investigated. The counter flow direction is considered under the steady state flow condition, and the critical Reynolds number was more than 4000 in this study. The main objective of this work was to clarify the effect of the volume flow rates and inlet temperatures of hot water and cold water in the shell and helical coil on exergy efficiency and pressure drop. Results showed that the exergy destruction and dimensionless exergy destruction decrease with the increase of coil pitch and Dean number. In contrast, the exergy destruction and dimensionless exergy destruction are obviously increased with the hot water flow rates or cold water flow rates. These exergy characteristics are also augmented with the values of hot water inlet temperatures and cold water inlet temperatures. The pressure drop is considerably increased with the increase of Dean number and reduced with the increase of coil diameter. While, the exergy efficiency steadily increases with the decrease of the cold water flow rates and with the increase of Dean number. Keywords Exergy destruction . Shell and helical coil heat exchanger . Dean number . Optimum design . Exergy efficiency

Nomenclature T T0 P0 ρ u

Temperature (control volume) (K) Dead state temperature (K) Dead state pressure (K) Density of water (kg/m3) Velocity of water (m/s)

High Lights • Experimental work and exergetic analysis of Shell and helical coil tube heat exchanger are investigated • Geometrical effect and operational parameters on exergy characteristics and pressure drop are studied. • Exergy efficiency for different amounts of Dean number and inlet temperatures is evaluated. * Audai Hussein Al-Abbas [email protected] 1

Pumps Engineering Department, Al-Musaib Technical College, Al-Furat Al-Awsat Technical University (ATU), Kufa, Iraq

μ z g h s ˙ CV W Q ˙ h & ˙mc m ψ S˙ gen:HCHE: Ψdest. HCHE e ηexHCHX Cmin Cp

Viscosity (kg/m.s) Elevation (m) Specific gravity (−) Enthalpy of water (kJ/kg) Entropy of water (kJ/kg.K) Control volume work (W) Flow rate (LPM) Mass flow rate of hot and cold water (kg/s) Exergy flow (J/kg) Ent