Laminar free convection from a vertical cone with uniform surface heat flux

Lin, Frank

doi:10.1016/0094-4548(76)90041-2

Cited by 68 publications

(45 citation statements)

References 5 publications

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“…In order to validate the present numerical results, the skin friction coefficient and the surface temperature have been compared with those of Lin [26] and Pullepu et al [27]. The only paper that was found on literature dealing with uniform heat flux case in vertical wavy cone is from Pop and Na [6] where they have considered a vertical wavy frustum of a cone.…”

Section: Resultsmentioning

confidence: 80%

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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

Rahman

Molla

Sarker

2011

International Communications in Heat and Mass Transfer

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a b s t r a c tThe effect of temperature dependent viscosity μ(T), on steady two dimensional natural convection flow along a vertical wavy cone with uniform surface heat flux has been investigated. Viscosity is taken to be an exponential function of temperature. Using the appropriate variables the basic equations are transformed to non-dimensional boundary layer equations and then solved numerically employing implicit finite difference method. The effects of viscosity variation parameter on the velocity profile, temperature profile, velocity vector field, skin friction, average Nusselt number, streamlines and isotherm have been discussed. The results have been shown graphically by utilizing the visualizing software Techplot.

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Section: Resultsmentioning

confidence: 80%

“…The present comparison is done for the flat vertical cone case. Lin [26] has studied the free convection from a vertical cone with uniform surface heat flux case. On the other hand, Pullepu et al [27] have studied unsteady laminar free convection from a vertical cone with uniform heat flux case.…”

Section: Resultsmentioning

confidence: 99%

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

Rahman

Molla

Sarker

2011

International Communications in Heat and Mass Transfer

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“…(7) and (8) when ~ is large. An order of magnitude analysis of the various terms in these equations shows that the largest are ~f', in (7) and ,~0', in (8). In their respective equations, both terms have to be balanced and the only way to do this is to assume that r] is small, and hence r/-derivatives are large.…”

Section: Asymptotic Solution For Large ~ (>> 1)mentioning

confidence: 97%

“…The problem of natural convection flow over a frustum of a cone without transverse curvature effect (i.e., large cone angles when the boundary layer thickness is small compared with the local radius of the cone) has been treated in the literature, even though the problem for a full cone has been considered quite extensively by Sparrow and Guinle [7], Lin [8], Kuiken [9] and Oosthuizen and Donaldson [10]. Latter, Na and Chiou [11] studied the laminar natural convection flow over a tYustum of a cone.…”

Section: Introductionmentioning

confidence: 99%

Free convection from a vertical permeable circular cone with non-uniform surface temperature

Hossain

Paul

2001

Acta Mechanica

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Summary. Laminar free convection from a vertical permeable circular cone maintained at nonuniform surface temperature is considered. Non-similar solutions for boundary-layer equations are found to exist when the surface temperature follows the power law variations with the distance measured from the leading edge. The numerical solutions of the transformed non-similar boundary-layer equations are obtained by using three methods, namely, (i) a finite difference method, (ii) a series solution method, and (iii) an asymptotic solution method. Solutions are obtained in terms of skin friction, heat transfer, velocity profile and temperature profile for smaller values of Prandtl number and temperature gradient are displayed in both tabular and graphical forms. Finite difference solutions are compared with the solutions obtained by perturbation and asymptotic techniques and found to be in excellent agreement.

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“…The problem of laminar free-convection heat transfer from a vertical heated cone to Newtonian #uids has been investigated by Hering and Grosh (1962), Hering (1965), Kuiken (1968), Oosthuizen and Donaldson (1972), Roy (1974), Lin (1976), Alamgir (1979), Gorla and Stratman (1986), Himasekhar and Sarma (1986) and Ramanaiah and Malarvizhi (1992). Na and Chiou (1979a,b) and Chiou and Na (1980) considered the laminar free convection boundary-layer #ow over a vertical frustrum of a cone and solved the boundary-layer equations numerically.…”

Section: Introductionmentioning

confidence: 99%

Free convection to power-law fluids from a vertical cone of variable surface temperature

Ece

2001

Int. J. Energy Res.

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SUMMARYSteady free convection laminar boundary-layer #ow about a heated vertical cone immersed in a quiescent power-law #uid is investigated. Surface temperature is assumed to have a power-law variation with the distance. Similarity solutions are obtained numerically for the boundary-layer velocity and temperature pro"les. Magnitudes of the velocity and temperature pro"les are found to decrease with increasing values of the #ow behaviour index and the surface temperature exponent. The e!ects of #ow behaviour index and the generalized Prandtl number on the surface shear stress and heat #ux are determined.

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Laminar free convection from a vertical cone with uniform surface heat flux

Cited by 68 publications

References 5 publications

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

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

Free convection from a vertical permeable circular cone with non-uniform surface temperature

Free convection to power-law fluids from a vertical cone of variable surface temperature

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