Thermo-diffusion MHD convection in enclosure using heat and mass lines visualization techniques

• Autorzy: Kushawaha Durgesh , Yadav Sushil , Singh Dwesh K. , Behera Pravata Kumar

Identyfikatory

DOI

10.17512/jamcm.2022.2.06

• Języki publikacji: EN

Abstrakty

EN

The numerical study of two-dimensional laminar thermo-diffusion natural convection in an exponentially heated and concentrated square enclosure of unit length in the presence of a uniform horizontal magnetic field is presented in this paper. The left and right vertical walls are assumed to have higher and lower temperatures and concentrations, respectively, and are governed by exponential functions, whereas the horizontal walls are assumed to be adiabatic and non-diffusive. The mathematical formulation of heat and mass functions has been completed, and heat and mass line contours have been drawn based on these functions to investigate the behavior of heat and mass in the cavity. The flow governing equations were solved using a finite difference method in conjunction with the Successive Over-Relaxation (SOR) technique and then converted to a vorticity-stream function form. A detailed comparison of isotherms with heatlines and isosolutes with masslines has been performed. Furthermore, the reduction for lower Rayleigh numbers Ra surpassing the reduction for higher values of Ra. The maximum reduction in overall heat and mass transfer has been observed for higher Hartmann (Ha = 8).

Słowa kluczowe

EN

thermodiffusion; heatlines; masslines; magnetic field; overall heat; mass transfer

PL

termodyfuzja; pole magnetyczne; transport masy

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2022
• Tom: Vol. 21, nr 2
• Strony: 63--76
• Opis fizyczny: Bibliogr. 21 poz., rys., tab.

Twórcy

autor

Kushawaha Durgesh

• Department of Mathematics, Kalindi College, University of Delhi, Delhi, India

autor

Yadav Sushil

• Department of Mathematics, Maharaja Agrasen College, University of Delhi, Delhi, India

autor

Singh Dwesh K.

• Department of Mechanical Engineering, Dr. B.R. Ambedkar National Institute of Technology, Jalandhar, India

autor

Behera Pravata Kumar

• Department of Physics, ARSD College, University of Delhi, Delhi, India

Bibliografia

• [1] Mahapatra, T.R., Pal, D., & Mondal, S. (2013). Effects of buoyancy ratio on double-diffusive natural convection in a lid-driven cavity. International Journal of Heat and Mass Transfer, 57(2), 771-785.
• [2] Corcione, M., Grignaffini, S., & Quintino, A. (2015). Correlations for the double-diffusive natural convection in square enclosures induced by opposite temperature and concentration gradients. International Journal of Heat and Mass Transfer, 81, 811-819.
• [3] He, B., Lu, S., Gao, D., Chen, W., & Li, X. (2019). Lattice Boltzmann simulation of double diffusive natural convection of nanofluids in an enclosure with heat conducting partitions and sinusoidal boundary conditions. International Journal of Mechanical Sciences, 161-162, 105003.
• [4] Kefayati, G.H.R. (2019). Thermosolutal natural convection of viscoplastic fluids in an open porous cavity. International Journal of Heat and Mass Transfer, 138, 401-419.
• [5] Bondareva, N.S., Sheremet, M.A., Oztop, H.F., & Abu-Hamdeh, N. (2017). Heatline visualization of natural convection in a thick walled open cavity filled with a nanofluid. International Journal of Heat and Mass Transfer, 109, 175-186.
• [6] Hu, J.-T., Ren, X.-H., Liu, D., Zhao, F.-Y., & Wang, H.-Q. (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. International Journal of Heat and Mass Transfer, 104, 1160-1176.
• [7] Kushawaha, D., Yadav, S., & Singh, D.K. (2020). Thermo-solute natural convection with heat and mass lines in a uniformly heated and soluted rectangular enclosure for low Prandtl numer fluids. International Journal of Thermal Sciences, 148, 106160.
• [8] Khan, S.A., Hayat, T., Alsaedi, A., & Ahmad, B. (2021). Melting heat transportation in radiative flow of nanomaterials with irreversibility analysis. Renewable and Sustainable Energy Reviews, 140, 110739.
• [9] Hayat, T., Khan, S.A., & Alsaedi, A. (2021). Irreversibility characterization in nanoliquid flow with velocity slip and dissipation by a stretchable cylinder. Alexandria Engineering Journal, 60(3), 2835-2844.
• [10] Khan, M., Ahmad, L., Yasir, M., & Ahmed, J. (2021). Numerical Analysis in thermally radiative stagnation point flow of cross nanofluid due to shrinking surface: Dual solutions. Applied Nanoscience.
• [11] Khan, S.A., Hayat, T., Ijaz Khan, M., & Alsaedi, A. (2020). Salient features of Dufour and Soret effect in radiative MHD flow of viscous fluid by a rotating cone with entropy generation. International Journal of Hydrogen Energy, 45(28), 14552-14564.
• [12] Ahmad, L., Ahmed, J., Khan, M., Yasir, M., & Alghamdi, M. (2020). Effectiveness of cattaneo–christov double diffusion in Sisko fluid flow with variable properties: Dual solutions. Journal of Thermal Analysis and Calorimetry, 143(5), 3643-3654.
• [13] Khan, S. A., Hayat, T., & Alsaedi, A. (2020). Entropy optimization in passive and active flow of liquid hydrogen based nanoliquid transport by a curved stretching sheet. International Communications in Heat and Mass Transfer, 119, 104890.
• [14] Hayat, T., Khan, S. A., Alsaedi, A., & Zai, Q. M. Z. (2020). Computational analysis of heat transfer in mixed convective flow of CNTS with entropy optimization by a curved stretching sheet. International Communications in Heat and Mass Transfer, 118, 104881.
• [15] Khan, S.A., Saeed, T., Khan, M.I., Hayat, T., Khan, M.I., & Alsaedi, A. (2019). Entropy optimized CNTS based Darcy-Forchheimer nanomaterial flow between two stretchable rotating disks. International Journal of Hydrogen Energy, 44(59), 31579-31592.
• [16] Hayat, T., Khan, S.A., & Alsaedi, A. (2020). Simulation and modeling of entropy optimized MHD flow of second grade fluid with dissipation effect. Journal of Materials Research and Technology, 9(5), 11993-12006.
• [17] Gros ̧an, T., Sheremet, M.A., Pop, I., & Pop, S.R. (2018). Double-diffusive natural convection in a differentially heated wavy cavity under thermophoresis effect. Journal of Thermophysics and Heat Transfer, 32(4), 1045-1058.
• [18] Oztop, H.F., Mobedi, M., Abu-Nada, E., & Pop, I. (2012). A heatline analysis of natural convection in a square inclined enclosure filled with a CuO nanofluid under non-uniform wall heating condition. International Journal of Heat and Mass Transfer, 55(19-20), 5076-5086.
• [19] Kimura, S., & Bejan, A. (1983). The ”heatline” visualization of convective heat transfer. Journal of Heat Transfer, 105(4), 916-919.
• [20] Costa, V.A.F. (1997). Double diffusive natural convection in a square enclosure with heat and mass diffusive walls. International Journal of Heat and Mass Transfer, 40(17), 4061-4071.
• [21] Trevisan, O.V., & Bejan, A. (1987). Combined heat and mass transfer by natural Convection in a vertical enclosure. Journal of Heat Transfer, 109(1), 104-112.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).