Natural convection flow along the vertical wavy cone in case of uniform surface heat flux where viscosity is an exponential function of temperature

Rahman, Azad; Molla, Md. Mamun; Sarker, M. M. A.

doi:10.1016/j.icheatmasstransfer.2011.03.021

Cited by 7 publications

(3 citation statements)

References 25 publications

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“…The study of heat transfer with different cross-sections has gained strong interest. It is realistic to observe the patterns of fluid flow under various circumstances around surfaces of different cross-sections, such as cylinders or cones, with possible inclusions of permeability [14][15][16][17][18]. Merk and Prins [19,20] are often credited to be the pioneers in developing solutions for the fluid flow past a vertical cone considering an axisymmetric form.…”

Section: Introductionmentioning

confidence: 99%

“…As a result, the numerical models that are valid for high Pr numbers have significantly less versatility. In terms of variable viscosity with temperature, Rahman et al [18] investigated the natural convective flow along the vertical wavy cone where viscosity was considered an exponential function of temperature. In a similar geometry, Thohura et al [30] emphasized the effects of the temperature-dependent thermal conductivity.…”

Section: Introductionmentioning

confidence: 99%

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Natural Convection Flow over a Vertical Permeable Circular Cone with Uniform Surface Heat Flux in Temperature-Dependent Viscosity with Three-Fold Solutions within the Boundary Layer

et al. 2022

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The aim of this study is to investigate the effects of temperature-dependent viscosity on the natural convection flow from a vertical permeable circular cone with uniform heat flux. As part of numerical computation, the governing boundary layer equations are transformed into a non-dimensional form. The resulting nonlinear system of partial differential equations is then reduced to local non-similarity equations which are solved computationally by three different solution methodologies, namely, (i) perturbation solution for small transpiration parameter (ξ), (ii) asymptotic solution for large ξ, and (iii) the implicit finite difference method together with a Keller box scheme for all ξ. The numerical results of the velocity and viscosity profiles of the fluid are displayed graphically with heat transfer characteristics. The shearing stress in terms of the local skin-friction coefficient and the rate of heat transfer in terms of the local Nusselt number (Nu) are given in tabular form for the viscosity parameter (ε) and the Prandtl number (Pr). The viscosity is a linear function of temperature which is valid for small Prandtl numbers (Pr). The three-fold solutions were compared as part of the validations with various ranges of Pr numbers. Overall, good agreements were established. The major finding of the research provides a better demonstration of how temperature-dependent viscosity affects the natural convective flow. It was found that increasing Pr, ξ, and ε decrease the local skin-friction coefficient, but ξ has more influence on increasing the rate of heat transfer, as the effect of ε was erratic at small and large ξ. Furthermore, at the variable Pr, a large ξ increased the local maxima of viscosity at large extents, particularly at low Pr, but the effect on temperature distribution was found to be less significant under the same condition. However, at variable ε and fixed Pr, the temperature distribution was observed to be more influenced by ε at small ξ, whereas large ξ dominated this scheme significantly regardless of the variation in ε. The validations through three-fold solutions act as evidence of the accuracy and versatility of the current approach.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Natural Convection Flow over a Vertical Permeable Circular Cone with Uniform Surface Heat Flux in Temperature-Dependent Viscosity with Three-Fold Solutions within the Boundary Layer

et al. 2022

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“…The work of Rees and Pop [16] extended by Molla et al [17] introducing complex wavy surface and they found that additional harmonic substantially changes the temperature distribution and flow field near the surface. Rahman et al [18] investigated free convection flow through a vertical wavy cone by considering temperature dependent viscosity and constant heat flux. Neagu [19] presented the analysis of the free convection flow through vertical wavy wall saturated in porous medium with heat and mass fluxes and obtained system was solved numerically.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer in natural convection flow of nanofluid along a vertical wavy plate with variable heat flux

Mustafa

Javed

2019

THERM SCI

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The present analysis is concerned to examine the enhancement of heat transfer in natural convection flow of nanofluid through a vertical wavy plate assumed at variable heat flux. The rate of heat transfer in nanofluid flow as compared to pure water can be increased due to increase the density of nanofluid which depends on the density and concentration of nanoparticles. For this analysis, Tiwari and Das model is used by considering two nanoparticles i. e. Al 2 O 3 and Cu are suspended in a base fluid (water). A very efficient implicit finite difference technique converges quadratically is applied on the concerning PDE for numerical solution. The effects of pertinent parameters namely, volume fraction parameter of nanoparticle, wavy surface amplitude, Prandtl number and exponent of variable heat flux on streamlines, isothermal lines, local skin friction coefficient and local Nusselt number are shown through graphs. In this analysis, a maximum heat transfer rate is noted in Cu-water nanofluid through a vertical wavy surface as compared to Al 2 O 3 -water and pure water.

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External Natural Convective Heat Transfer From Bodies Having a Wavy Surface for Conditions Under Which Laminar, Transitional, and Turbulent Flow Can Exist

Oosthuizen

2016

Advances in Heat Transfer

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Natural convection flow along the vertical wavy cone in case of uniform surface heat flux where viscosity is an exponential function of temperature

Cited by 7 publications

References 25 publications

Natural Convection Flow over a Vertical Permeable Circular Cone with Uniform Surface Heat Flux in Temperature-Dependent Viscosity with Three-Fold Solutions within the Boundary Layer

Natural Convection Flow over a Vertical Permeable Circular Cone with Uniform Surface Heat Flux in Temperature-Dependent Viscosity with Three-Fold Solutions within the Boundary Layer

Heat transfer in natural convection flow of nanofluid along a vertical wavy plate with variable heat flux

External Natural Convective Heat Transfer From Bodies Having a Wavy Surface for Conditions Under Which Laminar, Transitional, and Turbulent Flow Can Exist

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