×

Condensation of laminar film over curved vertical walls using single and two-phase nanofluid models. (English) Zbl 1408.76041

Summary: Recently, an analytical solution was derived for the governing equations of condensate laminar film from stationary vapors on curved vertical walls of convex/concave shape [Q. T. Le et al., “A closed-form solution for laminar film condensation from quiescent pure vapours on curved vertical walls”, Int. J. Heat Mass Transf. 73, 834–838 (2014; doi:10.1016/j.ijheatmasstransfer.2014.02.061)]. The present research paper develops a theory covering the impacts of different nanofluids and derives further closed-form solutions concerning the hydrodynamic and thermal transport through the condensate film over curved walls when the single phase and two-phase models of nanofluids are taken into account. From both approaches, exact expressions are obtained for the velocity and temperature fields as well as the shear stress, thickness and Nusselt number of the film influenced by the presence of nanoparticles of frequently used nanofluids in the literature. It is found that heat transfer is enhanced, even more in the two-phase model case in the presence of nanoparticles. The concentration of Ag nanoparticles favors the best rate of heat transfer among the considered nanofluids.

MSC:

76A20 Thin fluid films
Full Text: DOI

References:

[1] Nusselt, W., Die oberflächenkondensation des wasserdampfes, Z. Ver. Dtsch. Ing., 60, 541-569, (1916)
[2] Le, Q. T.; Ormiston, S. J.; Soliman, H. M., A closed-form solution for laminar film condensation from quiescent pure vapours on curved vertical walls, Int. J. Heat Mass Transfer, 73, 834-838, (2014)
[3] Fieg, G. P.; Roetzel, W., Calculation of laminar film condensation in/on inclined elliptical tubes, Int. J. Heat Mass Transfer, 37, 619-624, (1994) · Zbl 0900.76668
[4] Capellas, M.; Caminal, G.; Gonzalez, G.; L opez-Santin, J.; Clap es, P., Enzymatic condensation of cholecystokinin CCK-8 (46) and CCK-8 (78) peptide fragments in organic media, Biotechnol. Bioeng., 56, 456-463, (1997)
[5] Sun, D.-W.; Zheng, L., Vacuum cooling technology for the agri-food industry: past, present and future, J. Food Eng., 77, 203-214, (2006)
[6] Dutta, A.; Som, S. K.; Das, P. K., Film condensation of saturated vapour over horizontal non-circular tubes with progressively increasing radius of curvature drawn in the direction of gravity, ASME J. Heat Trans., 126, 906-914, (2004)
[7] Du, X. Z.; Zhao, T. S., Analysis of film condensation heat transfer inside a vertical micro tube with consideration of meniscus draining effect, Int. J. Heat Mass Transfer, 46, 4669-4679, (2003) · Zbl 1047.76594
[8] Wang, H. S.; Rose, J. W., Film condensation in horizontal microchannel: effect of channel shape, Int. J. Therm. Sci., 45, 1205-1212, (2006)
[9] Khaled, A.-R. A.; Radhwan, A. M.; Al-Muaikel, S. A., Analysis of laminar falling film condensation over a vertical plate with an accelerating vapor flow, J. Fluids Eng., 131, (2009)
[10] Wang, X. F.; Hrnjak, P. S.; Elbel, S.; Jacobi, A. M.; He, M. G., Heat transfer performance for a falling-film on horizontal flat tubes, J. Heat Transfer, 135, (2013)
[11] Pati, S.; Kaushik, P.; Chakraborty, S.; Som, S. K., Film condensation in presence of non-condensable gases: interplay between variable radius of curvature and interfacial slip, Int. Commun. Heat Mass Transfer, 56, 31-36, (2014)
[12] Argonne Transportation Technology R&D Center, 2010.
[13] Kakac, S.; Pramuanjaroenkij, A., Review of convective heat transfer enhancement with nanofluids, Int. J. Heat Mass Transfer, 52, 3187-3196, (2009) · Zbl 1167.80338
[14] Buongiorno, J., Convective transport in nanofluids, J. Heat Transfer, 128, 240, (2006)
[15] Kuznetsov, A. V.; Nield, D. A., Natural convective boundary-layer flow of a nanofluid past a vertical plate, Int. J. Therm. Sci., 49, 243-247, (2009) · Zbl 1177.80046
[16] Taylor, R. A.; Phelan, P. E.; Otanicar, T. P.; Adrian, R.; Prasher, R., Light: Sci. Appl., 1, (2012)
[17] Turkyilmazoglu, M., Exact analytical solutions for heat and mass transfer of MHD slip flow in nanofluids, Chem. Eng. Sci., 84, 182-187, (2012)
[18] Buschmann, M. H., Nanofluids in thermosyphons and heat pipes: overview of recent experiments and modelling approaches, Int. J. Therm. Sci., 72, 1-17, (2013)
[19] Huminic, G.; Huminic, A., Heat transfer characteristics of a two-phase closed thermosyphons using nanofluids, Exp. Therm Fluid Sci., 35, 550-557, (2011)
[20] Haddad, Z.; Abu-Nada, E.; Oztop, H. F.; Mataoui, A., Natural convection in nanofluids: are the thermophoresis and Brownian motion effects significant in nanofluid heat transfer enhancement ?, Int. J. Thermal Sci., 57, 152-162, (2012)
[21] Avramenko, A. A.; Shevchuk, I. V.; Tyrinov, A. I.; Blinov, D. G., Heat transfer at film condensation of stationary vapor with nanoparticles near a vertical plate, Appl. Therm. Eng., 73, 391-398, (2014)
[22] Avramenko, A. A.; Shevchuk, I. V.; Tyrinov, A. I.; Blinov, D. G., Heat transfer at film condensation of moving vapor with nanoparticles over a flat surface, Int. J. Heat Mass Transfer, 82, 316-324, (2015)
[23] Turkyilmazoglu, M., Analytical solutions of single and multi-phase models for the condensation of nanofluid film flow and heat transfer, Eur. J. Mech. B Fluids, 53, 272-277, (2015) · Zbl 1408.76040
[24] Oztop, H. F.; Abu-Nada, E., Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids, Int. J. Heat Fluid Flow, 29, 1326-1336, (2008)
[25] Oztop, H. F.; Abu-Nada, E., Int. J. Heat Fluid Flow, 29, 1326, (2008)
[26] Baehr, H. D.; Stephan, K., Heat and mass transfer, (2006), Springer Verlag Berlin, Heidelberg
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.