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Journal ArticleDOI

Influence of step discontinuity in porous plate temperature in free convection with transpiration

01 Jun 1986-Vol. 20, Iss: 2, pp 111-119
TL;DR: In this paper, a simple finite difference scheme is used to solve the second order, simultaneous, non-linear partial differential equations with a nonhomogeneous boundary condition, to study the influence of a step discontinuity in the surface temperature on heat transfer from a vertical porous plate in free convection with uniform transpiration.
Abstract: A simple finite difference scheme is used to solve the second order, simultaneous, non-linear partial differential equations with a nonhomogeneous boundary condition, to study the influence of a step discontinuity in the surface temperature on heat transfer from a vertical porous plate in free convection with uniform transpiration The numerical procedure is described in detail and results are presented forPr =072 in the blowing parameter range, - 15 < ©1< 15, for non-dimensional temperature range of 025 to 20
Citations
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Journal ArticleDOI
01 May 1990
TL;DR: In this paper, the boundary layer equations for steady laminar flow past a heated horizontal plate embedded in a saturated porous medium were derived by using the implicit Crank-Nicolson-Predictor-Corrector method of finite difference scheme.
Abstract: In this paper we study the boundary layer equations for steady laminar flow past a heated horizontal plate embedded in a saturated porous medium by adopting the formulation of Chandrasekhara [3], Kolar and Sastri [7]. The velocity distribution and temperature distribution are determined by using the implicit Crank-Nicolson-Predictor-Corrector method of finite difference scheme [7] and [1]. With the help of a compute the distributions are estimated at both (i+1/2)th and (i+1)th levels and they are presented in tabular form. The curves for these distributions are plotted. We calculate the shear stress and skin friction at the wall and observe that the skin-friction directly depends upon the dimensions of the plate and inversely depends upon the Reynolds numberRe. The heat flux and the Nusselt number are evaluated. Further we observe that the Nusselt number depends upon the length of the porous plate.

1 citations

References
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01 Jan 1953
TL;DR: In this article, the free-convection flow and heat transfer about a flat plate parallel to the direction of the body force are formally analyzed and the type of flow is found to be dependent on the Grashof number alone.
Abstract: The free-convection flow and heat transfer (generated by a body force) about a flat plate parallel to the direction of the body force are formally analyzed and the type of flow is found to be dependent on the Grashof number alone. For large Grashof numbers (which are of interest in aeronautics), the flow is of the boundary-layer type and the problem is reduced in a formal manner, which is analogous to Prandtl's forced-flow boundary-layer theory, to the simultaneous solution of two ordinary differential equations subject to the proper boundary conditions. Velocity and temperature distributions for Prandtl numbers of 0.01, 0.72, 0.733, 1, 1, 10, 100, and 1000 are computed, and it is shown that velocities and Nusselt numbers of the order of magnitude of those encountered in forced-convection flows may be obtained in free-convection flows. The theoretical and experimental velocity and temperature distributions are in good agreement. A flow and a heat-transfer parameter, from which the important physical quantities such as shear stress and heat-transfer rate can be computed, are derived as functions of Prandtl number alone.

552 citations


Additional excerpts

  • ...01 are taken from Ostrach [9]....

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Journal ArticleDOI

72 citations


"Influence of step discontinuity in ..." refers background in this paper

  • ...Similari ty solutions [1], series methods [2], integral approach [3, 4] and step by step procedures [5, 6] have been reported in l i terature to study the effects of suction and blowing on heat transfer from a vertical flat plate in free convection....

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Journal ArticleDOI
R. Eichhorn1
TL;DR: In this paper, the constant property laminar boundary layer equations with free convection and mass transfer were considered and solutions to the equations in the form of skin fi- iction and heat-transfer parameters were presented for the constant wall temperature case for a fluid with Pr = 0.73.
Abstract: Consideration is given to the constant property laminar boundary layer equations with free convection and mass transfer. Similar solutions are possible for blowing rate distributions varying as the distance from the leading edge raised to the power (n -- 1)/4 where n is the exponent in a power law surface temperature distribution. Solutions to the equations in the form of skin fi- iction and heat-transfer parameters, and velocity and temperature profiles are presented for the constant wall temperature case for a fluid with Pr = 0.73. The cases considered range from strong suction to strong blowing. Mass transfer has a pronounced effect on the heat transfer but only a slight effect on the skin friction. In light of the solutions presented, these effects are shown to be physically rational. (auth)

66 citations


"Influence of step discontinuity in ..." refers background in this paper

  • ...Similari ty solutions [1], series methods [2], integral approach [3, 4] and step by step procedures [5, 6] have been reported in l i terature to study the effects of suction and blowing on heat transfer from a vertical flat plate in free convection....

    [...]

Journal ArticleDOI
TL;DR: In this paper, a study of the natural convective flow which is induced in an infinite expanse of gas by the presence of a vertical hot flat plate from which hot gas of the same chemical type is being blown is made.
Abstract: A study is made of the natural convective flow which is induced in an infinite expanse of gas by the presence of a vertical hot flat plate from which hot gas of the same chemical type is being blown. The transpiration rate is assumed to be such that a self-similar boundary-layer type of solution is available. It differs from previous analyses in the following respects. Most important, the density is not assumed to be constant a t any stage in the description of the flow field. Also the form of the induced flow in the outer domain is calculated and proves to be substantially independent of the blowing rate in this case; the induced outer flow is found to be of large lateral extent. Finally, the variable-gas-property problem is carried to second order and solutions are obtained by using an ‘exact’ form of Howarth-Dorodnitsyn variable. The opportunity is taken t o make some comments about the comparison between theory and experiment for finite flat plates without transpiration.

49 citations


"Influence of step discontinuity in ..." refers methods in this paper

  • ...Similarity solutions [1], series methods [2], integral approach [3, 4] and step by step procedures [5, 6 ] have been reported in literature to study the effects of suction and blowing on heat transfer from a vertical flat plate in free convection....

    [...]