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An Exact Solution for Fluid Flow and Heat Convection through Triangular Ducts Considering the Viscous Dissipation | ||
| AUT Journal of Mechanical Engineering | ||
| مقاله 7، دوره 3، شماره 2، اسفند 2019، صفحه 197-204 اصل مقاله (1.58 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajme.2018.14630.5737 | ||
| نویسندگان | ||
| Mahmood Norouzi* 1؛ Mohammad Mohsen Sahhmardan1؛ Mahdi Davoodi2؛ Mostafa Mahmoudi3 | ||
| 1Faculty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran | ||
| 2School of Engineering, University of Liverpool, Brownlow Hill, Liverpool, L69 3GH, UK. | ||
| 3Department of Mechanical Engineering, Northern Arizona University, Flagstaff, USA. | ||
| چکیده | ||
| Today, the study of flow and heat transfer in non-circular ducts are of increasing importance in various industries and applications such as microfluidics, where lithographic methods typically produce channels of square or triangular cross-section. Also, heat transfer in non-circular ducts is important in designing the compact heat exchangers to enhance the heat transfer. In the current study, an exact analytical solution for the convective heat transfer in conduits with equilateral triangle cross-section is presented for the first time. The effect of viscous dissipation on heat transfer and temperature distribution through the duct is investigated in detail. This effect is of great importance especially in flow of high viscous fluids in micro-channels. In order to study the effect of viscous dissipation in both cooling and heating cases, the Brinkman number is employed. The exact solution is found by calculating the particular solution which satisfies the thermal boundary conditions. Based on the finite expansion method, an exact analytical solution for temperature distribution and a correlation for dimensionless Nusselt number is obtained as functions of the Brinkman number. The maximum temperature and Nusselt number at the centroid of the conduit for the specific case of Brinkman number equal to zero is calculated equal to 5/9 and 28/9, respectively. The proposed method of solution could be used to find the exact solution for similar problems such as analysis the heat convection in non-circular geometries. | ||
| کلیدواژهها | ||
| Forced heat Convection؛ Triangular duct؛ Brinkman number؛ Exact solution؛ Internal flow | ||
| مراجع | ||
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[1] R. Shah, Laminar flow friction and forced convection heat transfer in ducts of arbitrary geometry, International Journal of Heat and Mass Transfer, 18(7-8) (1975) 849- 862.
[2] A.L. London, R. Shah, Laminar flow forced convection in ducts: a source book for compact heat exchanger analytical data, Academic Press, 1978.
[3] M.E. Erdoğan, C.E. Imrak, The effects of duct shape on the Nusselt number, Mathematical and Computational Applications, 10(1) (2005) 79-88. [4] M. Shahmardan, M. Norouzi, M. Kayhani, A. Delouei, An exact analytical solution for convective heat transfer in rectangular ducts, J Zhejiang Univ Sci A, 13(10) (2012) 768-781.
[5] M. Shahmardan, M. Sedaghat, M. Norouzi, An analytical solution for fully developed forced convection in triangular ducts, Heat Transfer—Asian Research, 44(6) (2015) 489-498.
[6] S. Marco, L. Han, A note on limiting laminar Nusselt number in ducts with constant temperature gradient by analogy to thin-plate theory, Trans. ASME, 77(1955) (1955) 625-630.
[7] K. Rajagopal, A. Sadegh, A boundary integral equation method for the study of some laminar forced convection problems, Numerical Heat Transfer, 8(4) (1985) 485- 496.
[8] R. Lakshminarayanan, A. Haji-Sheik, A generalized closed-form solution to laminar thermal entrance problems, in: Proc. of the 8th International Heat Transfer Conference, San Francisco, USA, 1986, pp. 871-876.
[9] H. Zhang, M. Ebadian, A. Campo, An analytical/ numerical solution of convective heat transfer in the thermal entrance region of irregular ducts, International communications in heat and mass transfer, 18(2) (1991) 273-291.
[10] L.Z. Zhang, Laminar flow and heat transfer in plate- fin triangular ducts in thermally developing entry region, International Journal of Heat and Mass Transfer, 50(7- 8) (2007) 1637-1640.
[11] L.Z. Zhang, Z.Y. Chen, Convective heat transfer in cross-corrugated triangular ducts under uniform heat flux boundary conditions, International Journal of Heat and Mass Transfer, 54(1-3) (2011) 597-605.
[12] S. Ray, D. Misra, Laminar fully developed flow through square and equilateral triangular ducts with rounded corners subjected to H1 and H2 boundary conditions, International Journal of Thermal Sciences, 49(9) (2010) 1763-1775.
[13] A. Banerjee, Heat transfer in triangular ducts with axial conduction, containing porous medium, (2012).
[14] K. Hooman, A. Haji-Sheikh, Analysis of heat transfer and entropy generation for a thermally developing Brinkman–Brinkman forced convection problem in a rectangular duct with isoflux walls, International Journal of Heat and Mass Transfer, 50(21-22) (2007) 4180-4194.
[15] S.W. Ahn, Friction factor and heat transfer in equilateral triangular ducts with surface roughness, KSME international journal, 15(5) (2001) 639-645.
[16] A. Jalali, M. Hulsen, M. Norouzi, M. Kayhani, Numerical simulation of 3D viscoelastic developing flow and heat transfer in a rectangular duct with a nonlinear constitutive equation, Korea-Australia Rheology Journal, 25(2) (2013) 95-105.
[17] M. Norouzi, M. Davoodi, O.A. Bég, A.A. Joneidi, Analysis of the effect of normal stress differences on heat transfer in creeping viscoelastic Dean flow, International Journal of Thermal Sciences, 69 (2013) 61-69.
[18] M. Norouzi, M. Kayhani, M. Nobari, A. Joneidi, Convective heat transfer for viscoelastic fluid in a curved pipe, Heat and mass transfer, 46(8-9) (2010) 975-987.
[19] M. Norouzi, M. Kayhani, M. Nobari, F. Talebi, Analytical investigation of viscoelastic creeping flow and heat transfer inside a curved rectangular duct, Theoretical Foundations of Chemical Engineering, 45(1) (2011) 53-67.
[20] W. Kays, M. Crawford, B. Weigand, Convective heat and mass transfer, 4th ed., McGraw-Hill, 2005.
[21] F.M. White, I. Corfield, Viscous fluid flow, McGraw- Hill New York, 2006.
[22] S. Chen, T. Chan, C. Leung, B. Yu, Numerical prediction of laminar forced convection in triangular ducts with unstructured triangular grid method, Numerical Heat Transfer: Part A: Applications, 38(2) (2000) 209-224. | ||
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