Thermo-solute natural convection with heat and mass lines in a uniformly heated and soluted rectangular enclosure for low Prandtl number fluids

International Journal of Thermal Sciences - Tập 148 - Trang 106160 - 2020
Durgesh Kushawaha1, Sushil Yadav2, Dwesh K. Singh3
1Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, India
2Department of Mathematics, Maharaja Agrasen College, University of Delhi, Delhi, India
3Department of Mechanical Engineering, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, India

Tài liệu tham khảo

Alavyoon, 1991, Theoretical and experimental studies of free convection and stratification of electrolyte in a lead-acid cell during recharge, Electrochim. Acta, 36, 2153, 10.1016/0013-4686(91)85224-U Ikeshoji, 1991, Computer analysis on natural convection in thin-layer thermocells with a soluble redox couple: Part 2. e-i relation, electric power, heat flux and electrochemical heat pump, J. Electroanal. Chem. Interfacial Electrochem., 312, 43, 10.1016/0022-0728(91)85143-D Rahman, 2012, Double-diffusive natural convection in a triangular solar collector, Int. Commun. Heat Mass Transf., 39, 264, 10.1016/j.icheatmasstransfer.2011.11.008 Alleborn, 1999, Lid-driven cavity with heat and mass transport, Int. J. Heat Mass Transfer, 42, 833, 10.1016/S0017-9310(98)00224-5 Zorrilla, 2005, Mathematical modeling for immersion chilling and freezing of foods: Part I: Model development, J. Food Eng., 66, 329, 10.1016/j.jfoodeng.2004.03.026 Niwa, 2002, A one-step conversion of benzene to phenol with a palladium membrane, Science, 295, 105, 10.1126/science.1066527 Snoussi, 2005, Numerical study of the natural convection flow resulting from the combined buoyancy effects of thermal and mass diffusion in a cavity with differentially heated side walls, Desalination, 182, 143, 10.1016/j.desal.2005.03.014 Harzallah, 2014, Double-diffusive natural convection in anisotropic porous medium bounded by finite thickness walls: Validity of local thermal equilibrium assumption, Transp. Porous Media, 103, 207, 10.1007/s11242-014-0298-3 Crunkleton, 2006, Numerical simulations of periodic flow oscillations in low prandtl number fluids, Int. J. Heat Mass Transfer, 49, 427, 10.1016/j.ijheatmasstransfer.2004.09.009 Zhang, 2017, Effect of surface heat dissipation on thermocapillary convection of low prandtl number fluid in a shallow annular pool, Int. J. Heat Mass Transfer, 110, 460, 10.1016/j.ijheatmasstransfer.2017.03.059 Zhang, 2018, Flow pattern transition and destabilization mechanism of thermocapillary convection for low prandtl number fluid in a deep annular pool with surface heat dissipation, Int. J. Heat Mass Transfer, 126, 118, 10.1016/j.ijheatmasstransfer.2018.05.120 Zhang, 2018, Flow bifurcation routes to chaos of thermocapillary convection for low prandtl number fluid in shallow annular pool with surface heat dissipation, Int. J. Therm. Sci., 125, 23, 10.1016/j.ijthermalsci.2017.11.010 Xu, 2012, Transient natural convective heat transfer of a low-prandtl-number fluid from a heated horizontal circular cylinder to its coaxial triangular enclosure, Int. J. Heat Mass Transfer, 55, 995, 10.1016/j.ijheatmasstransfer.2011.10.011 Yu, 2010, Transient natural convective heat transfer of a low-prandtl-number fluid inside a horizontal circular cylinder with an inner coaxial triangular cylinder, Int. J. Heat Mass Transfer, 53, 5102, 10.1016/j.ijheatmasstransfer.2010.06.056 Zürner, 2019, Combined measurement of velocity and temperature in liquid metal convection, J. Fluid Mech., 876, 1108, 10.1017/jfm.2019.556 Oder, 2019, Direct numerical simulation of low-prandtl fluid flow over a confined backward facing step, Int. J. Heat Mass Transfer, 142, 118436, 10.1016/j.ijheatmasstransfer.2019.118436 Saravanan, 2002, Buoyancy convection in low prandtl number liquids with large temperature variation, Meccanica, 37, 599, 10.1023/A:1020959623479 Deshmukh, 2011, Investigation of natural circulation in cavities with uniform heat generation for different prandtl number fluids, Int. J. Heat Mass Transfer, 54, 1465, 10.1016/j.ijheatmasstransfer.2010.11.046 Zhang, 2017, Onset of double-diffusive Rayleigh-Bénard convection of a moderate Prandtl number binary mixture in cylindrical enclosures, Int. J. Heat Mass Transfer, 107, 500, 10.1016/j.ijheatmasstransfer.2016.11.054 Ma, 2007, Heat-driven liquid metal cooling device for the thermal management of a computer chip, J. Phys. D: Appl. Phys., 40, 4722, 10.1088/0022-3727/40/15/055 Ge, 2013, Low melting point liquid metal as a new class of phase change material: An emerging frontier in energy area, Renew. Sustain. Energy Rev., 21, 331, 10.1016/j.rser.2013.01.008 Nishimura, 1998, Oscillatory double-diffusive convection in a rectangular enclosure with combined horizontal temperature and concentration gradients, Int. J. Heat Mass Transfer, 41, 1601, 10.1016/S0017-9310(97)00271-8 Papanicolaou, 2005, Double-diffusive natural convection in an asymmetric trapezoidal enclosure: Unsteady behavior in the laminar and the turbulent-flow regime, Int. J. Heat Mass Transfer, 48, 191, 10.1016/j.ijheatmasstransfer.2004.07.040 Nithyadevi, 2009, Double diffusive natural convection in a partially heated enclosure with soret and dufour effects, Int. J. Heat Fluid Flow, 30, 902, 10.1016/j.ijheatfluidflow.2009.04.001 Chen, 2010, Numerical investigation of double-diffusive (natural) convection in vertical annuluses with opposing temperature and concentration gradients, Int. J. Heat Fluid Flow, 31, 217, 10.1016/j.ijheatfluidflow.2009.12.013 Hasanuzzaman, 2012, Effects of lewis number on heat and mass transfer in a triangular cavity, Int. Commun. Heat Mass Transf., 39, 1213, 10.1016/j.icheatmasstransfer.2012.07.002 Oueslati, 2013, Double-diffusive natural convection and entropy generation in an enclosure of aspect ratio 4 with partial vertical heating and salting sources, Alexandria Eng. J., 52, 605, 10.1016/j.aej.2013.09.006 Uddin, 2015, Effect of buoyancy ratio on unsteady thermosolutal combined convection in a lid driven trapezoidal enclosure in the presence of magnetic field, Comput. & Fluids, 114, 284, 10.1016/j.compfluid.2015.03.017 Corcione, 2015, Correlations for the double-diffusive natural convection in square enclosures induced by opposite temperature and concentration gradients, Int. J. Heat Mass Transfer, 81, 811, 10.1016/j.ijheatmasstransfer.2014.11.013 Ren, 2016, A new approach to the analysis of heat and mass transfer characteristics for laminar air flow inside vertical plate channels with falling water film evaporation, Int. J. Heat Mass Transfer, 103, 1017, 10.1016/j.ijheatmasstransfer.2016.07.109 Wang, 2016, Oscillatory double-diffusive convection in a horizontal cavity with soret and dufour effects, Int. J. Therm. Sci., 106, 57, 10.1016/j.ijthermalsci.2016.03.012 Ja, 2019, Numerical investigation of buoyancy balance effect on thermosolutal convection in a horizontal annular porous cavity, Eur. Phys. J. E, 42, 9, 10.1140/epje/i2019-11768-0 Sheremet, 2010, The influence of cross effects on the characteristics of heat and mass transfer in the conditions of conjugate natural convection, J. Eng. Thermophys., 19, 119, 10.1134/S1810232810030021 Groşan, 2018, Double-diffusive natural convection in a differentially heated wavy cavity under thermophoresis effect, J. Thermophys. Heat Transfer, 32, 1045, 10.2514/1.T5389 Kuznetsov, 2009, Conjugate heat transfer in an enclosure under the condition of internal mass transfer and in the presence of the local heat source, Int. J. Heat Mass Transfer, 52, 1 Kuznetsov, 2011, A numerical simulation of double-diffusive conjugate natural convection in an enclosure, Int. J. Therm. Sci., 50, 1878, 10.1016/j.ijthermalsci.2011.05.003 Bao, 2019, Thermohaline stratification modeling in mine water via double-diffusive convection for geothermal energy recovery from flooded mines, Appl. Energy, 237, 566, 10.1016/j.apenergy.2019.01.049 Kimura, 1983, The heatline visualization of convective heat transfer, J. Heat Transfer, 105, 916, 10.1115/1.3245684 Costa, 1997, Double diffusive natural convection in a square enclosure with heat and mass diffusive walls, Int. J. Heat Mass Transfer, 40, 4061, 10.1016/S0017-9310(97)00061-6 Rahman, 2015, Simulation of unsteady heat and mass transport with heatline and massline in a partially heated open cavity, Appl. Math. Model., 39, 1597, 10.1016/j.apm.2014.09.022 Hussain, 2016, Analysis of heatlines and entropy generation during double-diffusive MHD natural convection within a tilted sinusoidal corrugated porous enclosure, Eng. Sci. Technol. Int. J., 19, 926 Alsabery, 2016, Heatline visualization of conjugate natural convection in a square cavity filled with nanofluid with sinusoidal temperature variations on both horizontal walls, Int. J. Heat Mass Transfer, 100, 835, 10.1016/j.ijheatmasstransfer.2016.05.031 Hu, 2017, Natural convective heat and moisture transfer in an inclined building enclosure with one slender wall of finite thickness: Analytical investigation and non-unique steady flow solutions, Int. J. Heat Mass Transfer, 104, 1160, 10.1016/j.ijheatmasstransfer.2016.09.033 Bondareva, 2017, Heatline visualization of natural convection in a thick walled open cavity filled with a nanofluid, Int. J. Heat Mass Transfer, 109, 175, 10.1016/j.ijheatmasstransfer.2017.01.124 Kishor, 2018, Investigation of convective heat transfer phenomena in differentially-heated vertical closed cavity: Whole field experiments and numerical simulations, Exp. Therm Fluid Sci., 99, 71, 10.1016/j.expthermflusci.2018.07.021 Han, 1991, Double diffusive natural convection in a vertical rectangular enclosure—II. Numerical study, Int. J. Heat Mass Transfer, 34, 461, 10.1016/0017-9310(91)90265-G Zhao, 2007, Application issues of the streamline, heatline and massline for conjugate heat and mass transfer, Int. J. Heat Mass Transfer, 50, 320, 10.1016/j.ijheatmasstransfer.2006.06.026 Oztop, 2008, Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids, Int. J. Heat Fluid Flow, 29, 1326, 10.1016/j.ijheatfluidflow.2008.04.009 Bondarenko, 2019, Natural convection of al2o3/h2o nanofluid in a cavity with a heat-generating element. heatline visualization, Int. J. Heat Mass Transfer, 130, 564, 10.1016/j.ijheatmasstransfer.2018.10.091 Trevisan, 1987, Combined heat and mass transfer by natural convection in a vertical enclosure, J. Heat Transfer, 109, 104, 10.1115/1.3248027 De Vahl Davis, 1983, Natural convection in a square cavity: A comparison exercise, Internat. J. Numer. Methods Fluids, 3, 227, 10.1002/fld.1650030304 Markatos, 1984, Laminar and turbulent natural convection in an enclosed cavity, Int. J. Heat Mass Transfer, 27, 755, 10.1016/0017-9310(84)90145-5 Khanafer, 2003, Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids, Int. J. Heat Mass Transfer, 46, 3639, 10.1016/S0017-9310(03)00156-X Tiwari, 2007, Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids, Int. J. Heat Mass Transfer, 50, 2002, 10.1016/j.ijheatmasstransfer.2006.09.034 Woods, 1954, A note on the numerical solution of fourth order differential equations, Aeronaut. Q., 5, 176, 10.1017/S0001925900001177