Laminar Forced Convection in Circular Duct for Power-Law Fluid

Boaca, Tudor; Boacă, Ioana

doi:10.1007/978-3-540-79299-4_8

Cited by 2 publications

(2 citation statements)

References 19 publications

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“…Many authors investigated the solution of fully developed laminar heat transfer for non-Newtonian fluids. The laminar forced convection of power-law fluids in circular ducts are illustrated in references: Cho and Harnett (1982), Barletta (1982), Boaca and Boaca (2008), Dehkordi and Mohammadi (2009), Dehkordi and Mohammadi (2010). The effects of viscous dissipation on heat transfer to power law fluids in arbitrary cross-sectional ducts using the Line-Successive-Over relaxation (LSOR) method was studied by Lawal and Mujumdar (1992).…”

Section: Introductionmentioning

confidence: 99%

Effect of viscous dissipation on forced convection for laminar flow through a straight regular polygonal duct using BEM method

Teleszewski

Sorko

2018

HFF

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Purpose The purpose of this paper is to investigate the effect of the viscous dissipation of laminar flow through a straight regular polygonal duct on forced convection with constant axial wall heat flux with constant peripheral wall temperature using the boundary element method (BEM). Design/methodology/approach Both the wall heating case and the wall cooling case are considered. Applying the velocity profile obtained for the duct laminar flow and the energy equation with the viscous dissipation term is solved exactly for the constant wall heat flux using the BEM. The numerical values are obtained by means of a computer program, written by the authors in Fortran. The results of the BEM approach are verified by analytic models. Nusselt numbers are obtained for flows with a different number of sides of a regular polygonal duct and Brinkman numbers. Findings When the difference in temperature between the wall temperature and the fluid bulk temperature changes the sign, then the functions of the Nusselt number with the Brinkman number generated some singularities (BrqLs). For the Brinkman number referring to the total wall linear power, with the increasing value of the number of sides of a regular polygonal duct, BrqLs decreases in the range of 3 ≤ n < ∞. If the BrqL < BrqLs, it is possible to note that, in general, the Nusselt number is higher for cross-sections having a lower value of the number of sides of a regular polygonal duct. For BrqL > BrqLs, this rule is reversed. Originality/value This paper illustrates the effects of viscous dissipation on laminar forced convective flow in regular polygon ducts with a different number n of sides. A compact relationship for the Nusselt number vs the Brinkman number referring to the temperature difference between the wall temperature and the fluid bulk temperature and the Brinkman number, which is based on the total wall linear power, have been proposed.

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Section: Introductionmentioning

confidence: 99%

Effect of viscous dissipation on forced convection for laminar flow through a straight regular polygonal duct using BEM method

Teleszewski

Sorko

2018

HFF

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“…Investigations on laminar forced convection in a noncircular duct, for a Newtonian fluid at constant properties, by taking into account the viscous dissipation effect, have been presented in the literature [2,[11][12][13][14][15][16][17]. Several studies have focused specifically on the viscous dissipation effects for laminar forced convection of power-law fluids [18][19][20][21][22] and a Bingham fluid [23][24][25][26][27][28] under different thermal boundary conditions in circular ducts.…”

Section: Introductionmentioning

confidence: 99%

Viscous dissipation effect on laminar forced convection in a circular duct with adiabatic walls - preliminary numerical investigation

Teleszewski

2018

MATEC Web Conf.

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In this work, an analysis of laminar forced convection in a pipe with heated and adiabatic walls for a Newtonian fluid with constant properties is performed by taking the viscous dissipation into account when the axial heat conduction in the fluid is neglected. The Nusselt number versus the Brinkmann, which is based on the total wall heat flux density, have been investigated. In order to determine the temperature field, an analytical solution describing the velocity field in the pipe was used, while the energy equation was determined by the boundary element method (BEM). The results of the calculations of Nusselt numbers as a function of the Brinkman number for different thermal insulation heights to the diameter of the circular duct were presented in the form of diagrams.

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Laminar Forced Convection in Circular Duct for Power-Law Fluid

Cited by 2 publications

References 19 publications

Effect of viscous dissipation on forced convection for laminar flow through a straight regular polygonal duct using BEM method

Effect of viscous dissipation on forced convection for laminar flow through a straight regular polygonal duct using BEM method

Viscous dissipation effect on laminar forced convection in a circular duct with adiabatic walls - preliminary numerical investigation

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