phone +7 (3412) 91 60 92

Archive of Issues


Russia Tomsk
Year
2018
Volume
28
Issue
1
Pages
119-130
<<
Section Mechanics
Title The impact of position of the local volumetric heat generating source of a semi-cylindrical shape on heat exchange inside the cavity
Author(-s) Gibanov N.S.a, Sheremet M.A.a
Affiliations Tomsk State Universitya
Abstract Mathematical modeling of heat transfer processes inside a closed square cavity having a local heat source of a semi-cylindrical shape has been performed. The effect of the heater location on the evolution of flow structures has been analyzed. The considered cavity was a closed square contour with a heat-generating element located on the bottom wall. Side walls were considered as isothermal. The presented boundary problem has been formulated in dimensionless variables such as stream function-vorticity-temperature and it has been solved by a finite difference method. The effects of Rayleigh numbers in the range of $10^{4}$-$10^{5}$ and the position of the local energy source on heat exchange inside the cavity have been estimated.
Keywords closed contour, heat generating source, convection, numerical simulation
UDC 536.24
MSC 76R10, 80A20
DOI 10.20537/vm180111
Received 18 January 2018
Language Russian
Citation Gibanov N.S., Sheremet M.A. The impact of position of the local volumetric heat generating source of a semi-cylindrical shape on heat exchange inside the cavity, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2018, vol. 28, issue 1, pp. 119-130.
References
  1. Martyushev S.G., Sheremet M.A. Numerical analysis of conjugate convective-radiative heat transfer in an enclosure filled with diathermanous medium, Vestn. Udmurt. Univ. Mat. Mekh. Komp'yut. Nauki, 2012, issue 3, pp. 114-125 (in Russian). DOI: 10.20537/vm120311
  2. Martyushev S.G., Miroshnichenko I.V., Sheremet M.A. Numerical analysis of conjugate natural convection and thermal surface radiation in a cube filled with diathermanous medium, Vestn. Udmurt. Univ. Mat. Mekh. Komp'yut. Nauki, 2014, issue 2, pp. 111-120 (in Russian). DOI: 10.20537/vm140208
  3. Palymskiy I.B. About numerical simulation of the three-dimentional convection, Vestn. Udmurt. Univ. Mat. Mekh. Komp'yut. Nauki, 2009, issue 4, pp. 118-132 (in Russian). DOI: 10.20537/vm090412
  4. Aleshkova I.A., Sheremet M.A. Mathematical simulation of conjugate natural convection in a porous medium, Vestn. Udmurt. Univ. Mat. Mekh. Komp'yut. Nauki, 2010, issue 2, pp. 49-56 (in Russian). DOI: 10.20537/vm100204
  5. Trifonova T.A., Sheremet M.A. Numerical simulation of unsteady conjugate natural convection in a cylindrical porous domain (Darcy-Boussinesq model), Computer Research and Modeling, 2013, vol. 5, no. 2, pp. 179-191 (in Russian).
  6. Trifonova T.A., Sheremet M.A. Comparative analysis of Darcy and Brinkman models at studying of transient conjugate natural convection in a porous cylindrical cavity, Computer Research and Modeling, 2013, vol. 5, no. 4, pp. 623-634 (in Russian).
  7. Kondrashov A., Burkova E. Stationary convective regimes in a thin vertical layer under the local heating from below, International Journal of Heat and Mass Transfer, 2018, vol. 118, pp. 58-65. DOI: 10.1016/j.ijheatmasstransfer.2017.10.096
  8. Sojoudi A., Saha S.C., Gu Y.T. Natural convection due to differential heating of inclined walls and heat source placed on bottom wall of an attic shaped space, Energy and Buildings, 2015, vol. 89, pp. 153-162. DOI: 10.1016/j.enbuild.2014.12.042
  9. Rashad A.M., Ismael M.A., Chamkha A.J., Mansour M.A. MHD mixed convection of localized heat source/sink in a nanofluid-filled lid-driven square cavity with partial slip, Journal of the Taiwan Institute of Chemical Engineers, 2016, vol. 68, pp. 173-186. DOI: 10.1016/j.jtice.2016.08.033
  10. Al-Zamily A., Amin M.R. Natural convection and entropy generation in a nanofluid-filled semi-circular enclosure with heat flux source, Procedia Engineering, 2015, vol. 105, pp. 418-424. DOI: 10.1016/j.proeng.2015.05.028
  11. Mansour M.A., Ahmed S.E. A numerical study on natural convection in porous media-filled an inclined triangular enclosure with heat sources using nanofluid in the presence of heat generation effect, Engineering Science and Technology, an International Journal, 2015, vol. 18, issue 3, pp. 485-495. DOI: 10.1016/j.jestch.2015.03.007
  12. Fontana E., Capeletto C.A., da Silva A., Mariani V.C. Three-dimensional analysis of natural convection in a partially-open cavity with internal heat source, International Journal of Heat and Mass Transfer, 2013, vol. 61, pp. 525-542. DOI: 10.1016/j.ijheatmasstransfer.2013.02.047
  13. Roslan R., Saleh H., Hashim I., Bataineh A.S. Natural convection in an enclosure containing a sinusoidally heated cylindrical source, International Journal of Heat and Mass Transfer, 2014, vol. 70, pp. 119-127. DOI: 10.1016/j.ijheatmasstransfer.2013.10.011
  14. Kuznetsov G.V., Sheremet M.A. Conjugate natural convection in an enclosure with a heat source of constant heat transfer rate, International Journal of Heat and Mass Transfer, 2011, vol. 54, issue 1-3, pp. 260-268. DOI: 10.1016/j.ijheatmasstransfer.2010.09.046
  15. Zhang T., Che D. Double MRT thermal lattice Boltzmann simulation for MHD natural convection of nanofluids in an inclined cavity with four square heat sources, International Journal of Heat and Mass Transfer, 2016, vol. 94, pp. 87-100. DOI: 10.1016/j.ijheatmasstransfer.2015.11.071
  16. Muthtamilselvan M., Periyadurai K., Doh D.H. Effect of uniform and nonuniform heat source on natural convection flow of micropolar fluid, International Journal of Heat and Mass Transfer, 2017, vol. 115, pp. 19-34. DOI: 10.1016/j.ijheatmasstransfer.2017.06.134
  17. Sourtiji E., Ganji D.D., Gorji-Bandpy M., Seyyedi S.M. Numerical study of periodic natural convection in a nanofluid-filled enclosure due to transitional temperature of heat source, Powder Technology, 2014, vol. 259, pp. 65-73. DOI: 10.1016/j.powtec.2014.03.055
  18. Nardini G., Paroncini M., Vitali R. Experimental and numerical analysis of the effect of the position of a bottom wall hot source on natural convection, Applied Thermal Engineering, 2016, vol. 92, pp. 236-345. DOI: 10.1016/j.applthermaleng.2015.09.085
  19. Sheremet M.A. Sopryazhennye zadachi estestvennoi konvektsii (Conjugate natural convection), Saarbrücken: LAP Lambert Academic Publishing, 2011, 167 p.
  20. Gibanov N., Sheremet M. Unsteady natural convection in a cubical cavity with a triangular heat source, International Journal of Numerical Methods for Heat and Fluid Flow, 2017, vol. 27, issue 8, pp. 1795-1813. DOI: 10.1108/HFF-06-2016-0234
  21. Gibanov N.S. Sheremet M.A. Effect of shape and sizes of a local heat source on convective heat transfer in a square cavity, Computer Research and Modeling, 2015, vol. 7, no. 2, pp. 271-280 (in Russian).
Full text
<< Previous article