Experimental Study and Modelling Heat Transfer During Condensation
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Experimental study and modelling heat transfer during condensation of pure fluid and binary mixtures ona bundle of finned tubes Mourad Belghazi, André Bontemps, Christophe Marvillet To cite this version: Mourad Belghazi, André Bontemps, Christophe Marvillet. Experimental study and modelling heat transfer during condensation of pure fluid and binary mixtures on a bundle of finned tubes. Interna- tional Journal of Refrigeration, Elsevier, 2003, 26 (2), pp.214-223. 10.1016/S0140-7007(02)00042-7. hal-00184124 HAL Id: hal-00184124 https://hal.archives-ouvertes.fr/hal-00184124 Submitted on 11 Feb 2020 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Distributed under a Creative Commons Attribution| 4.0 International License Experimental study and modelling of heat transfer during condensation of pure fluid and binary mixture on a bundle of horizontal finned tubes M. Belghazia, A. Bontempsb,*, C. Marvilleta,1 aGroupement pour la Recherche sur les Echangeurs thermiques (GRETh), Commissariat a` l’Energie Atomique, 17, rue des Martyrs, 38054 Grenoble Cedex 9, France bLEGI/GRETh, Universite´ Joseph Fourier, Grenoble, France An experimental investigation was conducted to measure the local heat transfer coefficient for each row in a trape- zoidal finned horizontal tube bundle during condensation of both pure fluid (HFC 134a) and several compositions of the non-azeotropic binary mixture HFC 23/HFC 134a. The test section is a 13Â3 (rows  columns) tube bundle and the heat transfer coefficient is measured using the modified Wilson plot method. The inlet vapour temperature is fixed at 40 C and the water flow rate in each active row ranges from 170 to 600 l/h. The test series cover five different finned tubes all commercially available, K11 (11 fins/inch), K19 (19 fins/inch), K26 (26 fins/inch), K32 (32 fins/inch), K40 (40 fins/inch) and their performances were compared. The experimental results were checked against available models predicting the heat transfer coefficient during condensation of pure fluids on banks of finned tubes. Modelling of heat exchange during condensation of binary mixtures on bundles of finned tubes based on the curve condensation model is presented. Keywords: Heat transfer; Mass transfer; Condensation; Refrigerant; Binary mixture; Finned tube; Exterior; Bundle; Heat transfer coefficient; Measurement; Modelling * Corresponding author. Tel.: +33-4-3878-3155; fax: +33-4-3878-5172. E-mail address: [email protected] (A. Bontemps). 1 Nomenclature Greek letters avg vapour phase mean heat transfer coefficient a thermal diffusivity (m2 sÀ1) in the bundle (W mÀ2 KÀ1) À2 A ratio of the total to the plain tube e vapour-side heat transfer coefficient (W m surfaces KÀ1) À2 À1 b fin spacing (m) i inner heat transfer coefficient (W m K ) À1 À1 Cp specific heat capacity (J kg K ) l heat transfer coefficient in the liquid phase 2 À1 À2 À1 D1,2 mass diffusivity (m s ) (W m K ) De diameter at the fin tip (m) v local heat transfer coefficient in the vapour À2 À1 Dh hydraulic diameter (m) phase (W m K ) Di inner diameter (m) inundation coefficient Dr Diameter at the fin root (m) enhancement factor e fin height (m) l thermal conductivity (W mÀ1 KÀ1) F correction factor È flooding angle (rad) g gravity (m sÀ2) halph angle at the fin tip (rad or degree) À1 À1 hm specific enthalpy (J kg ) surface tension (N m ) j row index K constant Subscripts : m mass flow rate (kg sÀ1) c coolant N row number g gas p fin pitch (m) G Gnielinski P pressure (N mÀ2) in inlet q heat flux (W mÀ2) j row index Q heat flow rate (W) l liquid S exchange surface area (m2) out outlet t fin thickness (m) T total T temperature (K) v vapour U overall heat transfer coefficient w wall (W mÀ2 KÀ1) v vapour velocity (m sÀ1) Dimensionless numbers xg vapour quality Le Lewis number y HFC23 mass fraction Nu Nusselt number Z: Bell and Ghaly parameter Pr Prandtl number Z modified Bell and Ghaly parameter Re Reynolds number 1. Introduction to underline the influence of the fin pitch, (ii) to study condensation of several compositions of the In the European context where existing and new binary mixture (HFC 23/HFC 134a), (iii) to under- refrigerating machines have to be adapted to HFCs stand heat transfer in enhanced tube banks both (HydroFluoroCarbons), the questions asked of heat with pure fluids and with mixtures, and (iv) to model exchanger designers and thermal engineers generally heat transfer in tube bundles during condensation of fall into two groups. The first concerns the behaviour zeotropic mixtures by means of the equilibrium method. of traditionally designed TEMA X1 condensers which have to operate with retrofitting refrigerants especially 2. A short review of relevant works with zeotropic mixtures. The second covers the optimi- sation of the TEMA X condenser to pure HFCs as HFC 2.1. Pure fluid case 134a and to mixed refrigerants (e.g. HFC 407C). To answer the both items, the present study, which Theoretical models to predict the heat transfer coeffi- expands on a preliminary study on smooth tube bundles cient (HTC) for single low-finned tubes have been well [1], deals with the experimental evaluation of heat developed since the 19400s, in particular with the pio- transfer performance of tube bundles equipped with neering work of Beatty and Katz [2]. Their model finned tubes whose density ranges from 11 to 40 fpi. assumed that the condensate is drained only via gravity. The present work has four aims: (i) to study con- Gregorig [3] was the first author to develop a model of densation outside five different finned tubes in order condensation around profiled surfaces, taking into 2 account only the surface tension forces. A review of finned tubes during condensation of the binary mixture surface tension effects during condensation of pure (90% R113+ 10% R114) and they found that the tube fluids is given by Shah et al. [4]. with high fins (3 mm) is better than the one with small Theoretical models combining both gravity and sur- fins (0.8 mm), contrary to the condensation of pure face tension forces are used to predict the HTC of a fluids. Honda et al. [14] conducted experiments during single horizontal tube with sufficient accuracy. Rose [5] condensation of a downward-flowing zeotropic mixture proposed a semi-empirical model for a horizontal tube HFC123/HFC134a (about 9% HFC134a at the test having trapezoidal fins. To compare his model to section inlet), on a 13  15 (columns  rows) staggered experimental results, Rose [5] used various finned tubes bundle of horizontal low finned tubes. Their experi- with different fin pitchs, heights and diameters as well as mental data show that both the heat and mass transfer various fluids (water, ethylene glycol, methanol, R113, coefficients increase with the row number up to the R11, R12...). He found a deviation of 12.4% from the third (or the second) row, then decrease mono- experimental data used. tonically with increasing row number, finally to The foregoing models for a single tube are not increase at the last row. To correlate their results directly applicable to tube banks, since heat transfer in they proposed a dimensionless correlation of the mass the lower rows is affected by condensate inundation and transfer coefficient based on the analogy between heat the HTC is lower for these tubes. In the literature there and mass transfer. are two approaches to this problem. The first simply consists of multiplication of the HTC for a single tube by a factor less than unity, taking into account the row 3. Experimental apparatus position in the bundle. The second, more accurate, con- sists in the development of a model, first for a single The experimental apparatus consists of a thermosi- tube, and then for a bundle. Such a model was proposed phon refrigerant loop and a forced circulation coolant by Honda and Nozu [6,7] based on a bidimensional (water) loop (Fig. 1). The test rig used in this investiga- analysis of the film condensate. Murata and Hashizume tion is the same as that of a previous study [1]. In the [8] developed a model predicting the HTC of tube bun- refrigerant loop the vapour is generated in a boiler dles having rectangular fins. To validate their model heated with hot water which is itself heated by an elec- they compared it to experimental data during con- tric heater. The vapour flows towards the test section, densation of R11 and R114 in bundles of eight rows, passes vertically downwards and condenses outside the with rectangular fin tubes of various fin pitches. Theory water cooled tubes. The test section (Fig. 2) is a stainless and experiments differed by about 20%. steel duct and contains a staggered copper tube bank There are few experiments on the condensation of consisting of 13 rows, each of two (even rows) or three HFC134a on low finned tubes. In the work of Blanc [9], tubes (odd rows). In Fig. 2 the cross-hatched tubes are the HTC on trapezoidal fin tubes (K26) is compared dummies (no heat exchange), while the others are active. with current theories. In particular, the Honda model Half tubes are attached to the vertical walls of the test underestimates by up to À30% the inundation effect of section in order to eliminate vapour by-pass.