KaydedilenlerDerginizi ekleyin

Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2021 / Cilt: 70 - Sayı: 1

Implementation of DRBEM for the determination of the heat flux in an inverse problem

Nagehan ALSOY-AKGÜN
Sayfa
397–425
Yayın Tarihi
2021-06-30
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Computations are performed for several values of Rayleigh number (Ra), solid volume fraction (φ) and percentage of noise (ρ), and accurate and stable results are given for three forms of heat flux namely, steady heat flux (q=q(y)), time dependent uniform heat flux (q=q(t)) and non-uniform time dependent heat flux (q=q(y,t)).

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:A numerical investigation of inverse unsteady natural convection flow in a square cavity filled with $Cu-$water nanofluid is performed.
📊
Temel Bulgular & Veri:In the direct problem, the enclosure is bounded by one isothermally heated vertical wall at temperature Tm and by three adiabatic walls.
💡
Sonuç & Katkı:Computations are performed for several values of Rayleigh number (Ra), solid volume fraction (φ) and percentage of noise (ρ), and accurate and stable results are given for three forms of heat flux namely, steady heat flux (q=q(y)), time dependent uniform heat flux (q=q(t)) and non-uniform time dependent heat flux (q=q(y,t)).
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:DRBEM · Inverse Problem · Natural Convection

Abstract

A numerical investigation of inverse unsteady natural convection flow in a square cavity filled with $Cu-$water nanofluid is performed. In the direct problem, the enclosure is bounded by one isothermally heated vertical wall at temperature Tm and by three adiabatic walls. In the inverse problem, the enclosure is bounded by right hostile wall on which no boundary condition can be prescribed or measured and by left accessible wall on which both the boundary temperature and heat flux data are overspecified. The dual reciprocity boundary element method (DRBEM) with the fundamental solutions of Laplace and modified Helmholtz equations is used for the solutions of direct and inverse problems. Inhomogeneities are approximated with radial basis functions. Computations are performed for several values of Rayleigh number (Ra), solid volume fraction (φ) and percentage of noise (ρ), and accurate and stable results are given for three forms of heat flux namely, steady heat flux (q=q(y)), time dependent uniform heat flux (q=q(t)) and non-uniform time dependent heat flux (q=q(y,t)).

🔖

Bu Makaleye Atıf Yap

ALSOY-AKGÜN, N. (2021). Implementation of DRBEM for the determination of the heat flux in an inverse problem. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 70 - Sayı: 1, 397–425. https://ajindex.com/articles/746756

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (12)

  1. Choi, S. U. S., Eastman, J. A., Enhancing thermal conductivity of fluids with nanoparticles, ASME Fluids Engineering, 231 (1995), 99-105.
  2. Kakaç, S., Pramuanjaroenkij, A., Review of convective heat transfer enhancement with nanofluids, International Journal of Heat and Mass Transfer, 52 (13-14) (2009), 3187-3196, https://doi.org/10.1016/j.ijheatmasstransfer.2009.02.006.
  3. Saidur, R., Leong, K. Y., Mohammad, H. A., A review on applications and challenges of nanofluids, Renewable and Sustainable Energy Reviews, 25(3) (2011), 1646-1668, https://doi.org/10.1016/j.rser.2010.11.035.
  4. Wang, X. Q., Mujumdar, A.S., A review on nanofluids-part I:Theoretical and numerical investigations, Brazilian Journal of Chemical Engineering, 25(4) (2008), 613-630, https://doi.org/10.1590/S0104-66322008000400001.
  5. Wang, X. Q., Mujumdar, A. S., A review on nanofluids-part II:Experiments and applications, Brazilian Journal of Chemical Engineering, 25(4) (2008), 631-648, https://doi.org/10.1590/S0104-66322008000400002.
  6. Wen, D., Lin, G., Vafaei, S., Zhang, K., Review of nano‡uids for heat transfer applications, Particuology, 7(2) (2009), 141-150, https://doi.org/10.1016/j.partic.2009.01.007.
  7. Yu W., France D. M., Routbort J. L., Choi S. U. S., Review and comparison of nanofluid thermal conductivity and heat transfer enhancements, Heat Transfer Engineering, 29(5) (2008), 432-460, https://doi.org/10.1080/01457630701850851.
  8. Mahian, O., Kolsi, L., Amani, M., Estelle, P., Ahmadi, G., Kleinstreuer, C., Marshall, J. S., Siavashi, M., Taylor, R. A., Niazmand, H., Wongwises, S., Hayat, T., Kolanjiyil, A., Kasaeian, A. and Pop, I., Recent advances in modeling and simulation of nanofluid flows- Part I: Fundamental and theory, Physics Reports, 790 (2019), 1-48, https://doi.org/10.1016/j.physrep.2018.11.004.
  9. Mahian, O., Kolsi, L., Amani, M., Estelle, P., Ahmadi, G., Kleinstreuer, C., Marshall, J.S., Siavashi, M., Taylor, R.A., Niazmand, H., Wongwises, S., Hayat, T., Kolanjiyil, A., Kasaeian, A. and Pop, I., Recent advances in modeling and simulation of nanofluid flows- Part II: Applications,Physics Reports, 791 (2019), 1-59, https://doi.org/10.1016/j.physrep.2018.11.004.
  10. Beck, J. V., Blackwell, B., St. Clair, C.R., Inverse Heat Conduction Ill-Posed Problem, Wiley, New York, 1985.
  11. Huang, C. H., Ozisik, M. N., Inverse problem of determining unknown wall heat flux in laminar flow through a parallel plate duct, Numer. Heat Tr. Part A, 21(1) (1992), 55-70, https://doi.org/10.1080/10407789208944865.
  12. Rap, A.,