Laminar flow and convective heat transfer of non-Newtonian fluids in doubly connected ducts

Monteiro, Evaldiney Ribeiro; Macêdo, Emanuel Negrão; Quaresma, João Nazareno Nonato; Cotta, Renato M.

doi:10.1016/j.ijheatmasstransfer.2010.01.040

Cited by 17 publications

(6 citation statements)

References 31 publications

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“…In the last decades, the hybrid analytical-numerical computational methodology (GITT) has been recognised as a powerful computational tool to explain the heat transfer and diffusion-convection phenomena (Nogueira and Cotta, 1990;Pontedeiro et al, 2008;Monteiro et al, 2009;Knupp et al, 2014Knupp et al, , 2015aKnupp et al, , 2015bCotta et al, 2016) and for the solutions of Navier-Stokes equations (Lima et al, 1997;Pereira et al, 1998Pereira et al, , 2000de Lima et al, 2007;Paz et al, 2007;Silva et al, 2010). In the convection behaviour analysis, the GITT technique has been approved as an accurate hybrid analytical-numerical methodology (Leal et al, 1999(Leal et al, , 2000Alves et al, 2002;Neto et al, 2006;Monteiro et al, 2010;An et al, 2013). Leal et al (1999Leal et al ( , 2000 used the GITT methodology to investigate the steady and transient convection behaviours in a steady and transient laminar flow in a square cavity, respectively.…”

Section: Introductionmentioning

confidence: 99%

Integral transform solution of natural convection in a cylinder cavity with uniform internal heat generation

2018

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Purpose The purpose of this study is to propose the generalised integral transform technique to investigate the natural convection behaviour in a vertical cylinder under different boundary conditions, adiabatic and isothermal walls and various aspect ratios. Design/methodology/approach GITT was used to investigate the steady-state natural convection behaviour in a vertical cylinder with internal uniformed heat generation. The governing equations of natural convection were transferred to a set of ordinary differential equations by using the GITT methodology. The coefficients of the ODEs were determined by the integration of the eigenfunction of the auxiliary eigenvalue problems in the present natural convection problem. The ordinary differential equations were solved numerically by using the DBVPFD subroutine from the IMSL numerical library. The convergence was achieved reasonably by using low truncation orders. Findings GITT is a powerful computational tool to explain the convection phenomena in the cylindrical cavity. The convergence analysis shows that the hybrid analytical–numerical technique (GITT) has a good convergence performance in relatively low truncation orders in the stream-function and temperature fields. The effect of the Rayleigh number and aspect ratio on the natural convection behaviour under adiabatic and isothermal boundary conditions has been discussed in detail. Originality/value The present hybrid analytical–numerical methodology can be extended to solve various convection problems with more involved nonlinearities. It exhibits potential application to solve the convection problem in the nuclear, oil and gas industries.

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Section: Introductionmentioning

confidence: 99%

Integral transform solution of natural convection in a cylinder cavity with uniform internal heat generation

2018

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“…Macêdo et. al [10] studied Generalized Integral Transform Technique by using a compound of numerical-analytical solution and obtained for non-Newtonian fluids and laminar flow into doubly connected ducts.…”

Section: Introductionmentioning

confidence: 99%

Study of Three Dimensional Laminar Forced Convection of Nano Fluid Flow Through Eccentric Rectangular Annular Duct

et al. 2018

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Heat transfer through the horizontal eccentric annulus between eccentric rectangular ducts with different eccentricities has been calculated with various aspect ratio of inner duct. Boundary conditions are used with constant hot temperature on inner duct and constant cold temperature on the outer duct. Space between two ducts included TiO2-water Nano-fluid with different solid Volume fraction (φ = 0, 2, 5, 10 %). The eccentricity was changed with different values (E = 0.025, 0.05, 0.075 m) in left direction and aspect ratio was changed with different value (AR= 0.25, 0.375, 0.5). Results show that with an increase of aspect ratios, the average Nusselt number increases. Alsowith an increase in eccentricity value,the average Nusselt numberremains constant, and then an increase begins to occur. And the average Nusselt number increase due to an increase in nanoparticle concentration.

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“…Similarly, Shojaeian and Kos ar (2014) conducted a numerical study on convective heat transfer of non-Newtonian fluid flowing between parallel-plates under slip boundary condition. In their study, the power-law relationship for the fluid was adopted, which was similar to the case of Monteiro et al (2010). Nevertheless, it is still unclear exactly how the heat transfer characteristics of the more extensive Herschel-Bulkley fluid present under the slip boundary condition.…”

Section: Introductionmentioning

confidence: 99%

Effects of slip and rheological parameters on the flow and heat transfer of a Herschel-Bulkley fluid

Jing

Wang

Zhai

2017

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Purpose The purpose of this paper is to investigate the combined effects of slip and rheological parameters on the flow and heat transfer of the Herschel-Bulkley fluid. Design/methodology/approach The combinative dimensionless parameter method is introduced into the equations of the slip flow and heat transfer to make the discussion more comprehensive. More specifically, the slip and rheological parameters are transformed into the dimensionless slip number as well as Herschel-Bulkley number. We solve the dimensionless equations and then focus on the effects of these parameters on the slip flow and heat transfer. Findings The results show that, for a given value of Herschel-Bulkley number, there is a finite critical value of slip number at which the pressure gradient reaches the lowest value and both the dimensionless yield radius and slip velocity become 1. Meanwhile, the Nusselt number tends to be infinite at this critical value of slip number. For the case of slip, the Nusselt number also approaches infinity at a finite critical value of Herschel-Bulkley number. Furthermore, the dimensionless velocity as well as temperature of the yield pseudoplastic fluid with higher slip number is lower within a small radius but becomes higher near the wall. Meanwhile, from the velocity and temperature profiles, the effect of Herschel-Bulkley number on these two parameters of the Bingham fluid at the smaller radius is opposite. Originality/value These associated expressions can be generalized to the flow and heat transfer of a Herschel-Bulkley fluid under slip boundary condition. It can provide a reference for the engineering application relating to the heat transfer and flow of a Herschel-Bulkley fluid. Meanwhile, it also suggests some revelations for dealing with this similar problem.

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Laminar flow and convective heat transfer of non-Newtonian fluids in doubly connected ducts

Cited by 17 publications

References 31 publications

Integral transform solution of natural convection in a cylinder cavity with uniform internal heat generation

Integral transform solution of natural convection in a cylinder cavity with uniform internal heat generation

Study of Three Dimensional Laminar Forced Convection of Nano Fluid Flow Through Eccentric Rectangular Annular Duct

Effects of slip and rheological parameters on the flow and heat transfer of a Herschel-Bulkley fluid

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