Mass/heat transfer analogy method in the research of convective fluid flow through channels with a specific geometry

• Autorzy: Grosicki Sebastian , Wilk Joanna

Identyfikatory

DOI

10.24425/ather.2023.149722

• Języki publikacji: EN

Abstrakty

EN

The present work contains the results of the comparative analysis of the literature data and the own investigations on mass and heat transfer coefficients occurring under conditions of the convective fluid flow through channels characterised by a specific geometry. The authors focused on the available experimental investigations on mass transfer. The considered experiments were carried out using the electrochemical method named limiting current technique. Two channel geometries were discussed: the annular channel of the conventional size and the long minichannel with a square cross-section area. Taking into consideration dimensionless numbers: Schmidt and Nusselt – analogical for mass and heat transfer – the formulas describing the phenomena under consideration were included. In the case of the annular channel the laminar and turbulent range of Reynolds numbers was studied. For the square minichannel – the laminar flow is considered. The analogy between mass and heat transfer introduced by Chilton and Colburn was applied in the analysis. An equivalent boundary condition is included in considerations concerning the mass and heat transfer. It is the Dirichlet boundary condition characterised by constant temperature of the wall which corresponds to the situation of constant ion concentration at the cathode surface in the limiting current technique. The main purpose of the present work was to verify the method for the determination of heat transfer coefficients using the analogy between mass and heat transfer processes in the case of convective fluid flow through the annular and square channels. The problem discussed in the present work is important and actual due to the possibility of the elimination of temperature measurements in the investigations of heat transfer processes occurring in channels characterised by a specific geometry. It should be noted that sometimes temperature measurement may be difficult or even impossible. This situation also causes high uncertainty of the obtained results. Due to this problem, the presented analysis was performed also with the use of thermal results based on the analytical solution. The verification of the use of mass/heat transfer analogy method in specific cases gives the extended knowledge of correct application of the limiting current technique in heat transfer research. The main objective of the work was achieved by conducting a comparative analysis of the adequate mass and heat transfer results. The existing literature data do not provide an answer to the question about the correctness of using the limiting current technique in the case of discussed annular channels or long square minichannels. The received results make us be critical of applying the mass/heat transfer analogy method in some heat transfer cases.

Słowa kluczowe

EN

limiting current technique; analogy method; annular channel; square minichannel

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN ; Komitet Termodynamiki i Spalania PAN
• Czasopismo: Archives of Thermodynamics
• Rocznik: 2023
• Tom: Vol. 44, no 4
• Strony: 427--446
• Opis fizyczny: Bibliogr. 43 poz., rys.

Twórcy

autor

Grosicki Sebastian

• Rzeszow University of Technology, Powstańców Warszawy 12, 35-959 Rzeszów, Poland

autor

Wilk Joanna

• Rzeszow University of Technology, Powstańców Warszawy 12, 35-959 Rzeszów, Poland

Bibliografia

• [1] Yang Y., Li M., Zou Y., Chen J.: Numerical study on heat transfer characteristics of molten salt in annular channel with wire coil. Appl. Therm. Eng. 199(2021), 117520.
• [2] Lorenzon A., Vaglio E., Casarsa L., Sortino M., Totis G., Sarago G., Lendormy E., Raukola J.: Heat transfer and pressure loss performances for additively manufactured pin fin in annular channels. Appl. Therm. Eng. 202(2022), 117851.
• [3] Dong X., Bi Q., Yao F.: Experimental investigation on the heat transfer performance of molten salt flowing in an annular tube. Exp. Therm. Fluid Sci. 102(2019), 113–12.
• [4] Zhang J., Wang J., Li W., Liu Z., Kabelac S., Tao Z., Ma L., Tang W., Sherif S.: R410A flow boiling in horizontal annular channels of enhanced tubes. Part I: Pressure drop. Int. J. Refrig. 137(2022), 70–79.
• [5] Zhang J., Wang J., He Y., Liu L., Li W., Tang W., Abbas A., Ayub Z.: R410A boiling coefficient in horizontal annular channels of enhanced tubes. Part II: Heat transfer. Int. J. Refrig. 137(2022), 43–50.
• [6] Seo J., Lee S., Yang S., Hassan Y.: Experimental investigation of the annular flow caused by convective boiling in a heated annular channel. Nucl. Eng. Des. 376(2021),111088.
• [7] Fenot M., Dorignac E., Giret A., Lalizel G.: Convective heat transfer in the entry region of an annular channel with slotted rotating inner cylinder. Appl. Therm. Eng.54(2013), 345–358.
• [8] Yassin M., Abd El-Hameed H.M., Shedid M.H., Helali A.H.B.: Heat transfer Enhancement through Annular Flow using Rotating Finned Pipe. Aerospace Sciences & Aviation Technology, ASAT-17 (2017).
• [9] Soudagar M.E.M., Kalam M.A., Sajid M.U., Afzal A., Banapurmath N.R., Akram N., Mane S.D., Saleel C.A.: Thermal analyses of minichannels and use of mathematical and numerical models. Numer. Heat Tr. A-Appl. 77(2020), 5, 497–537.
• [10] Arshad W., Ali H.M.: Experimental investigation of heat transfer and pressure drop in a straight minichannel heat sing using TiO2 nanofluid. Int. J. Heat Mass Tran.110(2017), 248–256.
• [11] Ghasemi S.E., Ranjbar A.A., Hosseini S.M.J.: Cooling performance analysis of water-cooled heat sinks with circular and rectangular minichannels using finite volume method. Iran. J. Chem. Eng. 37(2018), 2, 231–239.
• [12] Feng Z., Ai X., Wu P., Lin Q., Huang Z.: Experimental investigation of laminar flow and heat transfer characteristics in square minichannels with twisted tapes. Int. J. Heat Mass Tran. 158(2020), 119947.
• [13] Sudheer A.P., Madanan U.: Numerical investigation into heat transfer augmentation in square minichannel heat sink using butterfly inserts. Therm. Sci. Eng. Prog. 36(2022), 101522.
• [14] Weyns G., Nelissen G., Pembery J., Maciel P., Deconinck J., Deconinck H., Patrick M., Wragg A.: Turbulent fluid flow and electrochemical mass transfer in an annular duct with an obstruction. J. Appl. Electrochem. 39(2009), 2453–2459.
• [15] Wilk J., Grosicki S.: Experimental study of electrochemical mass transfer in an annular duct with the electrolyte nanofluid. Int. J. Therm. Sci. 129(2018), 280–289.
• [16] Wilk J., Grosicki S., Kiedrzyński K.: Preliminary research on mass/heat transfer in mini heat exchanger. E3S Web Conf. 70(2018), 02016.
• [17] Wilk J., Grosicki S., Smusz R.: Mass/heat transfer analogy method in the research on convective fluid flow through a system of long square mini-channels. Materials15(2022), 4617.
• [18] Kumar K.A., Sarma G.V.S., Ramesh K.V.: Mass transfer at the confining wall of a minichannel. Mater. Today-Proc. 27(2020), 534–538.
• [19] Bard A.J., Faulkner L.R.: Electrochemical Methods. Fundamentals and Applications. Wiley, New York 2005.
• [20] Szánto D.A., Cleghorn S., Ponce-de-León C., Walsh F.C.: The limiting current for reduction of ferricyanide ion at nickel: the importance of experimental conditions. AIChE J. 54(2008), 3, 802–810.
• [21] Bieniasz B: Convectional mass/heat transfer in a rotary regenerator rotor consisted of the corrugated sheets. Int. J. Heat Mass Tran. 53(2010), 3166–3174.
• [22] Wilk J.: Experimental investigation of convective mass/heat transfer in short minichannel at low Reynolds numbers. Exp. Therm. Fluid Sci. 33(2009), 267–272.
• [23] Wilk J.: Convective mass/heat transfer in the entrance region of the short circular minichannel. Exp. Therm. Fluid Sci. 38(2012), 107–114.
• [24] Sara O.N., Ergu Ő.B., Arzutug M.E., YapıcıS.: Experimental study of laminar forced convective mass transfer and pressure drop in microtubes. Int. J. Therm. Sci.48(2009), 1894–1900.
• [25] Ergu Ő.B., Sara O.N., YapıcıS., Arzutug M.E.: Pressure drop and point mass transfer in a rectangular microchannel. Int. Commun. Heat Mass 36(2009), 618–623.
• [26] Acosta R.E., Mulle R.H., Tobiasz C.W.: Transport processes in narrow (capillary) channels. AIChE J. 31(1985), 473-482.
• [27] Beiki H., Esfahany M.N., Etesami N.: Laminar forced convective mass transfer of γ-Al2O3/electrolyte nanofluid in a circular tube. Int. J. Therm. Sci. 64(2013), 251-256.
• [28] Kiedrzyński K.: Increasing of efficiency of the cooling duct by modification of its geometry. Arch. Thermodyn. 41(2020), 3, 103-123.
• [29] Bieniasz B.: The use of electrolysis and the analogy between heat and mass transfer in the design of forced convection heat exchanger elements. WUPR, Rzeszów 1980 (in Polish).
• [30] Martin H.: The generalized Leveque equation and its practical use for the prediction of heat and mass transfer rates from pressure drop. Chem. Eng. Sci. 57(2002), 16, 3217–3223.
• [31] Sash R.K.: Laminar flow friction and forced convection heat transfer in ducts of arbitrary geometry. Int. J. Heat and Mass Tran. 18(1975), 849–862.
• [32] Welty J., Wicks C., Wilson R., Rorrer G.: Fundamentals of Momentum. Heat Mass Transfer. Wiley, Oregon 2007.
• [33] Chilton T.H., Colburn A.P.: Mass transfer (absorption) coefficients prediction from data on heat transfer and fluid friction. Ind. Eng. Chem. 26(1934), 11, 1183–1187.
• [34] Iwaniszyn M., Jaroszyński M., Ochońska J., Łojewska J., Kołodziej A.: Heat and mass transfer analogy for the laminar flow: discussion of the problem. Prace Naukowe IICh PAN 15(2011), 37–46.
• [35] Wilk J.: Heat/mass transfer analogy in the case of convective fluid flow through minichannels. Int. J. Therm. Sci. 156(2020), 106467.
• [36] Gnielinski V.: On heat transfer in tubes. Int. J. Heat Mass Tran. 63(2013), 134–140.
• [37] Gnielinski V.: Heat transfer coefficients for turbulent flow in concentric annular ducts. Heat Transfer Eng. 30(2009), 6, 431–436.
• [38] Gnielinski V.: Turbulent heat transfer in annular spaces – a new comprehensive correlation. Heat Transfer Eng. 36(2015), 9, 787–789.
• [39] Rybiński W., Mikielewicz J.: Analytical solution of heat transfer for laminar flow in rectangular channels. Arch. Thermodyn. 35(2014), 4, 29–42.
• [40] Wilk J.: A review of measurement of the mass transfer in minichannels using the limiting current technique. Exp. Therm. Fluid Sci. 57(2014), 242–249.
• [41] Hetsroni G., Mosyak A., Pogrebnyak E., Yarin L.P.: Heat transfer in micro-channels: Comparison of experiments with theory and numerical results. Int. J. Heat Mass Tran. 48(2005), 25-26, 5580–5601.
• [42] Celata G.P., Cumo, M., Marconi V., McPhail S.J., Zummo G.: Microtube liquid single-phase heat transfer in laminar flow. Int. J. Heat Mass Tran. 49(2006), 19-20,3538–3546.
• [43] Kandlikar S.G., Garimella S., Li D., Colin S., King M.R.: Heat Transfer and Fluid Flow in Minichannels and Microchannels. Elsevier, Kidlington Oxford 2006.