Natural convection of a Darcian fluid about a cone

Cheng, Ping; Le, Thien V.; Pop, Ioan

doi:10.1016/0735-1933(85)90023-5

Cited by 78 publications

(53 citation statements)

References 6 publications

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“…The variable grid parameter is 1.001 and the value of the edge of the boundary layer r~o~ is 10. It is worth noting In order to verify the accuracy of our computer simulation model, we have compared our results with those of Cheng et al [12], Bejan and Khair [2], Nakayama and Hossain [6], and Singh and Queeny [7]. The comparisons in the above cases are found to be in good agreement, as shown in Tables 1-4.…”

Section: Resultssupporting

confidence: 75%

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Coupled heat and mass transfer by free convection over a truncated cone in porous media: VWT/VWC or VHF/VMF

Yih

1999

Acta Mechanica

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Summary. The heat and mass transfer characteristics of natural convection about a truncated cone embedded in a saturated porous medium subjected to the coupled effects of thermal and mass diffusion is numerically analyzed. The surface is maintained at variable wall temperature/concentration (VWT/VWC) or variable heat/mass flux (VHF/VMF). The transformed governing equations are solved by Keller box method. Numerical data for the dimensionless temperature profiles, the dimensionless concentration profiles, the local Nusselt number and the local Sherwood number are presented for wide range of dimensionless distance ~, the Lewis number Le, the exponent A, and buoyancy ratio N (or N*). In general, it has been found that when the buoyancy ratio is increasing both the local Nusselt number and the local Sherwood number increase. Increasing the value of A and ~ increases the local surface heat and mass transfer rates. The local Nusselt (Sherwood) number increases (decreases) with decreasing the Lewis number. Furthermore, it is shown that the local Nusselt number and the local Sherwood number of the truncated cone approach those of inclined plate (full cone) for the case of ~ = 0 (4 ---+ ec).

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Section: Resultssupporting

confidence: 75%

“…(9), (10) and Eqs. (17), (18) are reduced to those of Cheng et al [12]. For the case of ~ = ~), = ), = 0, Eqs.…”

Section: Ofmentioning

confidence: 89%

Coupled heat and mass transfer by free convection over a truncated cone in porous media: VWT/VWC or VHF/VMF

Yih

1999

Acta Mechanica

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“…From a vertical cone directing downwards in a fluid saturated porous medium, Cheng et al 9,10 have analyzed the free convection heat transfer. Cheng et al 9 found a local non-similarity solution for the frustum of the cone by neglecting the curvature effects on the convective heat transfer where the similarity solution was possible by considering the full cone and later, Pop and Cheng 10 considered the curvature effects of the cone. Narayana et al 11 have discussed the solutions of double-diffusive convective flow due to a cone.…”

Section: Introductionmentioning

confidence: 99%

On the double diffusive convection flow of Eyring-Powell fluid due to cone through a porous medium with Soret and Dufour effects

Khan

Sultan

2015

AIP Advances

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This paper devotedly study the double diffusive Darcian convection flow of Eyring-Powell fluid from a cone embedded in a homogeneous porous medium with the effects of Soret and Dufour. Arising set of non-linear partial differential equations are transformed through a suitable self-similar transformation into a set of nonlinear ordinary differential equations. Further, the numerical and the analytical solutions of the governing equations are elucidated by using numerical method as well as non-perturbation scheme. Numerical values are presented through tables for the skin friction coefficients, Nusselt number and Sherwood number. The obtained results are validated by comparing the analytical results with previously published results obtained by bvp4c for the numerical values of physical quantities. The effect of various parameters on the velocity, temperature and concentration profiles is discussed and also shown graphically.

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“…Cheng et al (1985) studied the natural convection of a Darcian fluid about a cone. Yih (1997) examined the effect of uniform lateral mass flux on free convection about a vertical cone embedded in a saturated porous medium.…”

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confidence: 99%

Natural Convection Heat Transfer About a Vertical Cone Embedded in a Tridisperse Porous Medium

Cheng

2015

Transp Porous Med

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This work studies the natural convection heat transfer about a vertical cone embedded in a tridisperse porous medium with constant wall temperature. The three-velocity threetemperature formulation is used to derive the governing partial differential equations. The coordinate transformation and the order-of-magnitude analysis are then used to obtain the nonsimilar boundary layer partial differential equations. The cubic spline collocation method is then used to solve the nonsimilar boundary layer partial differential equations. The effects of two inter-phase heat transfer parameters, three modified thermal conductivity ratios, and two permeability ratios on the heat transfer and flow characteristics of the tridisperse porous medium are studied. Results show that increasing the three modified thermal conductivity ratios or the two permeability ratios tends to increase the natural convection heat transfer rate of the vertical cone in a tridisperse porous medium. Moreover, the thermal non-equilibrium phenomena between the three phases of the tridisperse porous medium are affected by the streamwise coordinate and the two inter-phase heat transfer parameters. The thermal nonequilibrium effects between the three phases of the tridisperse porous medium become significant as the two inter-phase heat transfer parameters or the streamwise coordinates are small.

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Natural convection of a Darcian fluid about a cone

Cited by 78 publications

References 6 publications

Coupled heat and mass transfer by free convection over a truncated cone in porous media: VWT/VWC or VHF/VMF

Coupled heat and mass transfer by free convection over a truncated cone in porous media: VWT/VWC or VHF/VMF

On the double diffusive convection flow of Eyring-Powell fluid due to cone through a porous medium with Soret and Dufour effects

Natural Convection Heat Transfer About a Vertical Cone Embedded in a Tridisperse Porous Medium

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