Laminar natural convection boundary layers on horizontal circular discs

Zakerullah, Md.; Ackroyd, J. A. D.

doi:10.1007/bf01588887

Cited by 26 publications

(13 citation statements)

References 5 publications

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“…In this Section, we establish a scaling law between the evaporation flux and the radius of the flat drop. By analogy between heat and mass transfer, this derivation closely follows that of the heat transfer above a horizontal heated surface, which is a classical problem [26,27,28,29]. Dehaeck et al have also performed a detailed study of the role of natural convection on an evaporating pendant droplet, see the Supporting Information of [19].…”

Section: Modelmentioning

confidence: 88%

Natural convection above circular disks of evaporating liquids

Dollet

Boulogne

2017

Phys. Rev. Fluids

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We investigate theoretically and experimentally the evaporation of liquid disks in the presence of natural convection due to a density difference between the vapor and the surrounding gas. From the analogy between thermal convection above a heated disk and our system, we derive scaling laws to describe the evaporation rate. The local evaporation rate depends on the presence of a boundary layer in the gas phase such that the total evaporation rate is given by a combination of different scaling contributions, which reflect the structure of the boundary layer. We compare our theoretical predictions to experiments performed with water in an environment controlled in humidity, which validate our approach

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Section: Modelmentioning

confidence: 88%

Natural convection above circular disks of evaporating liquids

Dollet

Boulogne

2017

Phys. Rev. Fluids

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“…To predict the flow behavior accurately, it may be necessary to take into account these variable properties. In this light Zakerullah and Ackroyd [15] investigated the free convection flow above a horizontal circular disk for variable fluid properties. Herwig [16] analyzed the influence of variable properties on laminar fully developed pipe flow with constant heat flux across the wall.…”

Section: Introductionmentioning

confidence: 99%

The effects of variable properties and hall current on steady MHD laminar convective fluid flow due to a porous rotating disk

Maleque

Sattar

2005

International Journal of Heat and Mass Transfer

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“…To predict the flow behavior accurately, it may be necessary to take into account this properties as variables. Zakerullah and Ackroyd (1979) studied laminar natural convection boundary layers on horizontal circular discs. Herwig and Klemp (1988) investigated variable properties effects of fully developed laminar flow in concentric annuli.…”

Section: Introductionmentioning

confidence: 99%

Transient Hydromagnetic Forced Convective Heat Transfer Slip Flow Due to a Porous Rotating Disk with Variable Fluid Properties

Alam

Poddar²,

Rahman³

et al. 2015

AJHMT

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In this paper we have studied the problem of an unsteady hydromagnetic forced convective heat transfer slip flow over a porous rotating disk taking into account the temperature dependent density, viscosity and thermal conductivity. The governing non-linear partial differential equations of the flow are transformed into a set of non-linear ordinary differential equations using similarity transformations. The resulting nondimensional equations have been solved numerically by applying Nachtsheim-Swigert shooting iteration technique along with sixth-order Runge-Kutta iteration scheme. Comparison with previously published work for the steady case of the problem is performed and the results are found to be in very good agreement. The results of the numerical solution are presented graphically in the form of velocity (i.e. radial, tangential as well as inward axial), temperature profiles and variable Prandtl number for various values of the model parameters. The corresponding skin friction coefficients (i.e. radial and tangential) and the rate of heat transfer coefficient (i.e. Nusselt number) are also calculated and tabulated. The obtained numerical results show that when modeling a thermal boundary layer with temperature dependent fluid properties, consideration of Prandtl number as constant within the boundary layer produces unrealistic results. Therefore, it must be treated as variable throughout the boundary layer. Results also show that the slip factor significantly controls the flow and heat transfer characteristics.

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Laminar natural convection boundary layers on horizontal circular discs

Cited by 26 publications

References 5 publications

Natural convection above circular disks of evaporating liquids

Natural convection above circular disks of evaporating liquids

The effects of variable properties and hall current on steady MHD laminar convective fluid flow due to a porous rotating disk

Transient Hydromagnetic Forced Convective Heat Transfer Slip Flow Due to a Porous Rotating Disk with Variable Fluid Properties

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