Alavi, S.M.A. and Safaei, M.R. and Mahian, O. and Goodarzi, M. and Yarmand, H. and Dahari, M. and Wongwises, S. (2015) A hybrid finiteelement/finitedifference scheme for solving the 3D energy equation in transient nonisothermal fluid flow over a staggered tube bank. Numerical Heat Transfer Part BFundamentals, 68 (2). pp. 169183. ISSN 10407790

PDF (A Hybrid FiniteElement/FiniteDifference Scheme for Solving the 3D Energy Equation in Transient Nonisothermal Fluid Flow over a Staggered Tube Bank)
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Abstract
This article presents a hybrid finiteelement/finitedifference approach. The approach solves the 3D unsteady energy equation in nonisothermal fluid flow over a staggered tube bank with five tubes in the flow direction. The investigation used Reynolds numbers of 100 and 300, Prandtl number of 0.7, and pitchtodiameter ratio of 1.5. An equilateral triangle (ET) tube pattern is considered for the staggered tube bank. The proposed hybrid method employs a 2D TaylorGalerkin finiteelement method, and the energy equation perpendicular to the tube axis is discretized. On the other hand, the finitedifference technique discretizes the derivatives toward the tube axis. Weighting the 3D, transient, convectiondiffusion equation for a cube verifies the numerical results. The L2 norm of the error between numerical and exact solutions is also presented for three different hybrid meshes. A grid independence study for the energy equation preceded the final mesh. The outcome is found to be in acceptable concurrence with those from the previous studies. After the temperature field is attained, the local Nusselt number is computed for the tubes in the bundle at different times. The isotherms are also obtained at different times until a steadystate solution is reached. The numerical results converge to the exact results through refining the mesh. The implemented hybrid scheme requires less computation time compared with the conventional 3D finiteelement method, requiring less program coding.
Item Type:  Article 

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Uncontrolled Keywords:  Heattransfer characteristics, transfer enhancement, vortex generators, pressuredrop, exchangers, conduction, surface, bundle, model, air, 
Subjects:  T Technology > T Technology (General) T Technology > TJ Mechanical engineering and machinery 
Divisions:  Faculty of Engineering 
Depositing User:  Mr Jenal S 
Date Deposited:  04 Apr 2016 01:14 
Last Modified:  04 Apr 2016 01:14 
URI:  http://eprints.um.edu.my/id/eprint/15730 
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