Comparative computational appraisal of supercritical CO 2 -based natural circulation loop: effect of heat-exchanger and
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Comparative computational appraisal of supercritical CO2‑based natural circulation loop: effect of heat‑exchanger and isothermal wall Srivatsa Thimmaiah1 · Tabish Wahidi1 · Ajay Kumar Yadav1 · Arun Mahalingam1 Received: 14 November 2019 / Accepted: 15 May 2020 © Akadémiai Kiadó, Budapest, Hungary 2020
Abstract Natural circulation loop (NCL) is a geometrically simple heat transfer device in which fluid flow occurs due to density gradient of loop fluid, induced by the temperature difference between the source and the sink. NCL has an inherent problem of instability caused by the combined effect of buoyancy, friction and inertia forces at varying operating conditions, and hence it requires an elegant solution of instability. The primary objective of the present work is to do a comparative study on the dynamic performance between two different configurations of NCL based on supercritical C O2, i.e. (i) NCL with isothermal heater and a cold heat-exchanger (ISO-CHX), and (ii) NCL with hot and cold heat-exchangers (HHX-CHX). To explore these NCLs, two-dimensional transient computational fluid dynamics studies have been carried out on the stability of supercritical CO2-based natural circulation loop. Results are obtained for different operating pressures and temperatures in the form of mass flow rate and velocity variation with respect to time. Results show the higher instabilities in both side heat-exchanger loop than an isothermal heater with heat-exchanger loop. At a lower rate of heat input at source in the HHX-CHX loop, the mass flow is bidirectional, whereas it is unidirectional in the ISO-CHX loop at all level of heat input. It is also observed that as pressure increases, flow instability also increases. Obtained results are validated with the published experimental and numerical data and found in good agreement. Keywords Natural circulation loop · Instability · Supercritical carbon-dioxide · Heat transfer · Computational fluid dynamic List of symbols Acronyms Q̇ Heat generation per unit mass ( W kg−1) A Area ( m2) Cp Specific heat at constant pressure ( J kg−1 K−1) d Diameter (m) g Acceleration due to gravity ( m s−2) h Enthalpy ( J kg−1) m Mass flow rate ( kg s−1) ̄ Nu Nusselt number Nu = hd 𝜆 P Pressure (Pa) 𝜇Cp Pr Prandtl number Pr = 𝜆 Q Heat input (W) Re Reylonds number Re = 𝜌vd 𝜇 T Temperature (K)
* Ajay Kumar Yadav [email protected]; [email protected] 1
u Velocity in X-direction ( m s−1) v Velocity in Y-direction ( m s−1) t Time (s) Greek symbols h̄ Heat transfer coefficient, h̄ =
∫0 hdA A
∫0 dA A
(W m−2 K−1)
𝛽 Volume expansion coefficient (1/K) 𝜅 Turbulent Kinetic energy ( m2 s−2) 𝜆 Thermal conductivity (W m−1 K−1) 𝜇T Turbulent viscosity (Pa-s) 𝜇 Viscosity (Pa-s) 𝜌 Density ( kgm−3) 𝜀 Turbulent Kinetic energy dissipation rate ( m2 s−3) 𝜑 Viscous dissipation function (W m−3) G Rate of generation of turbulent kinetic energy ( kg m−1 s−3) Subscripts r Radial direction (m) x Axial location (m)
Department of Mechanical Engineering, National Institute
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