We analyze numerically the natural convective heat transport from two heated cylinders embedded within a cavity with non-uniformly cooled side walls for Ra (Rayleigh number) = 103–106 and S (dimensionless distance between the cylinders) = 0.1–0.4. The imposed non-uniform temperature distribution significantly alters the heat transfer characteristics, being governed by diffusion for low Ra and convection at higher Ra. The analysis yields less heat transfer for the spatially varying temperature profile case in comparison to a uniform temperature case. It reveals that at low Ra (≤ 104), the time-averaged Nusselt number Nut increases with S, while at high Ra (105 and 106), it increases first to reach a maximum value, then decreases and again increases thereafter. Furthermore, the rate of enhancement in Nusselt number with S is highly reduced at high Ra.
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S. Dutta, A.K. Biswas, S. Pati, Numer. Heat Transf. Part A: Appl. 73, 222–240 (2018)
S. Dutta, N. Goswami, A.K. Biswas, S. Pati, Int. J. Heat Mass Transf. 136, 777–798 (2019)
P. Meshram, S. Bhardwaj, A. Dalal, S. Pati, Numer. Heat Transf. Part A: Appl. 70, 1271–1296 (2016)
S. Dutta, A.K. Biswas, S. Pati, Int. J. Ambient Energy (2019). https://doi.org/10.1080/01430750.2019.1630304
S. Dutta, A.K. Biswas, S. Pati, Int. J. Numer. Methods Heat Fluid Flow 29, 4826–4849 (2019)
S. Dutta, N. Goswami, S. Pati, A.K. Biswas, J. Therm. Anal. Calorim. (2020). https://doi.org/10.1007/s10973-020-09634-7
S. Dutta, S. Pati, A.K. Biswas, Heat Transf. 49, 3287–3313 (2020)
S. Dutta, A.K. Biswas, Front. Heat Mass Transf. 10(8), 1–12 (2018)
F. Karimi, H. Xu, Z. Wang, M. Yang, Y. Zhang, Numer. Heat Transf. Part A: Appl. 65, 715–731 (2014)
N. Biswas, N.K. Manna, P. Datta, P.S. Mahapatra, Powder Technol. 326, 356–369 (2018)
G. De Vahl Davis, Int. J. Numer. Methods Fluids 983, 249–264 (1983)
N.K. Ghaddar, Int. J. Heat Mass Transf. 35(10), 2327–2334 (1992)
R. Warrington Jr., R. Powe, Int. J. Heat Mass Transf. 28(2), 319–330 (1985)
R. Roslan, H. Saleh, I. Hashim, A. Bataineh, Int. J. Heat Mass Transf. 70, 119–127 (2014)
B. Kim, D. Lee, M. Ha, H. Yoon, Int. J. Heat Mass Transf. 51, 1888–1906 (2008)
S.H. Hussain, A.K. Hussein, Int. Commun. Heat Mass Transf. 37, 1115–1126 (2010)
Y. Park, M. Ha, H. Yoon, Int. J. Heat Mass Transf. 65, 696–712 (2013)
Y.G. Park, H.S. Yoon, M.Y. Ha, Int. J. Heat Mass Transf. 59, 7911–7925 (2012)
H. Shokouhmand, S.M.A.N.R. Abadi, Heat Mass Transf. 46, 891–902 (2010)
G.C. Pal, N. Goswami, S. Pati, Numer. Heat Transf. Part A: Appl. 74(6), 1323–1341 (2018)
D. Bhowmick, P.R. Randive, S. Pati, H. Agrawal, A. Kumar, P.K. Srivastava, J. Therm. Anal. Calorim. 141, 839–857 (2020)
D. Bhowmick, S. Chakravarthy, P. Randive, S. Pati, J. Therm. Anal. Calorim. 141, 2405–2427 (2020). https://doi.org/10.1007/s10973-020-09411-6
D.K. Deka, G.C. Pal, S. Pati, P.R. Randive, in Recent Advances in Mechanical Engineering, Lecture Notes in Mechanical Engineering, ed. by K. Pandey, R. Misra, P. Patowari, U. Dixit (Springer, Singapore, 2021). https://doi.org/10.1007/978-981-15-7711-6_36
H.W. Cho, Y.M. Seo, G.S. Mun, M.Y. Ha, Y.G. Park, Int. J. Heat Mass Transf. 114, 307–317 (2017)
Y.M. Seo, G.S. Mun, Y.G. Park, M.Y. Ha, Int. J. Heat Mass Transf. 113, 1319–1331 (2017)
Y.M. Seo, Y.G. Park, M. Kim, H.S. Yoon, M.Y. Ha, Int. J. Heat Mass Transf. 113, 1306–1318 (2017)
M. Kumar, S. Roy, Int. J. Heat Fluid Flow 61, 407–424 (2016)
Y.M. Seo, J.M. Lee, Y.G. Park, M.Y. Ha, Heat Mass Transf. 54, 537–551 (2018)
S. Dutta, A.K. Biswas, S. Pati, in Advances in Materials, Mechanical and Industrial Engineering. INCOM 2018 Lecture Notes on Multidisciplinary Industrial Engineering. ed. by P. Sahoo, J. Davim (Springer, Cham, 2019), pp. 483–501
N. Biswas, N.K. Manna, P. Datta, P.S. Mahapatra, Int. Commun. Heat Mass Transf. 78, 135–144 (2016)
S. Bhardwaj, A. Dalal, S. Pati, Energy 79, 467–481 (2015)
E. Bilgen, R. Yedder, Int. J. Heat Mass Transf. 50, 139–150 (2007)
I.E. Sarris, I. Lekakis, N.S. Vlachos, Numer. Heat Transf. Part A: Appl. 42, 513–530 (2002)
R.W. Lewis, K. Morgan, H.R. Thomas, K.N. Seetharamu, The Finite Element Method in Heat Transfer Analysis (Wiley, Hoboken, 1996).
R.W. Lewis, P. Nithiarasu, K.N. Seetharamu, Fundamentals of the Finite Element Method for Heat and Fluid Flow (Wiley, Hoboken, 2004).
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Goswami, N., Randive, P.R. & Pati, S. Natural Convection from a Pair of Heated Cylinders in a Square Cavity with Non-uniform Temperature on the Side Walls. J. Inst. Eng. India Ser. C (2021). https://doi.org/10.1007/s40032-021-00667-x
- Natural convection
- Square enclosure
- Non-uniform temperature