1997
DOI: 10.1016/s0735-1933(97)00114-0
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The effect of uniform lateral mass flux on free convection about a vertical cone embedded in a saturated porous medium

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Cited by 34 publications
(23 citation statements)
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“…Table 1 shows the numerical values of −θ mp η=0 for free convection heat transfer of a vertical cone in regular (mono-disperse) porous media with constant wall temperature. It is shown that the present results are in excellent agreement with the results reported by Cheng et al (1985) and Yih (1997). Figure 3 shows the temperature profiles for three phases at different values of permeability ratio K r at ξ = 0.5 for K r 1 = K r 2 = K r , β 1 = β 2 = 1, γ 1 = γ 2 = γ 3 = 0.1, λ 1 = λ 2 = 0.5, σ 1 = σ 2 = 0.01, φ 1 = φ 2 = φ 3 = 0.4, τ 1 = 0.510, and τ 2 = 0.306.…”
Section: Resultssupporting
confidence: 93%
See 1 more Smart Citation
“…Table 1 shows the numerical values of −θ mp η=0 for free convection heat transfer of a vertical cone in regular (mono-disperse) porous media with constant wall temperature. It is shown that the present results are in excellent agreement with the results reported by Cheng et al (1985) and Yih (1997). Figure 3 shows the temperature profiles for three phases at different values of permeability ratio K r at ξ = 0.5 for K r 1 = K r 2 = K r , β 1 = β 2 = 1, γ 1 = γ 2 = γ 3 = 0.1, λ 1 = λ 2 = 0.5, σ 1 = σ 2 = 0.01, φ 1 = φ 2 = φ 3 = 0.4, τ 1 = 0.510, and τ 2 = 0.306.…”
Section: Resultssupporting
confidence: 93%
“…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. Yih (1999) studied the coupled heat and mass transfer by free convection over a truncated cone in porous media for the case of variable wall temperature and concentration and the case of variable heat and mass fluxes.…”
mentioning
confidence: 99%
“…Specifically, such flows are generated in fibres spinning, extrusion of polymers, hot rolling glass blowing, continuous casting and manufacturing of plastic and rubber sheets. The steady mixed convection boundary layer flow from an isothermal horizontal circular cylinder inserted in a porous media filled by a nanofluid was examined by Nazar et al [2].Yih [3][4][5][6] analyzed the boundary layer analysis of natural convection over a cone. Sanaad and Mohebujjaman [7] investigated the case along a vertical stretching sheet in presence of magnetic field and heat generation.…”
Section: Introductionmentioning
confidence: 99%
“…The natural convection on vertical surfaces in porous media has been studied used Darcy's law by a number of authors [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Boundary layer analysis of natural convection over a cone has been investigated by Yih [21][22][23][24]. Murthy and Singh [25] obtained the similarity solution for non-Darcy mixed convection about an isothermal vertical cone with fixed apex half angle, pointing downwards in a fluid saturated porous medium with uniform free stream velocity, but a semi-similar solution of an unsteady mixed convection flow over a rotating cone in a rotating viscous fluid has been obtained Roy and Anilkumar [26].…”
Section: Introductionmentioning
confidence: 99%