Fully developed laminar free convection flow between two parallel vertical walls—I

Vajravelu, K.; Sastri, K. S.

doi:10.1016/0017-9310(77)90052-7

Cited by 120 publications

(52 citation statements)

References 4 publications

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“…Vajravelu and Sastri [7] analyzed the problem studied by Ostrach [1] by taking into account the quadratic density temperature (QDT) variation in the buoyancy force term and showed the significant contributions of the QDT variation to the flow and heat transfer characteristics of water between 0 and 20 • C. More recently, Storesletten and Barletta [8] used the QDT relationship to show the linear instability of mixed convection of cold water in a porous layer induced by viscous dissipation.…”

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confidence: 99%

Natural convection heat transfer of a viscous fluid in a vertical porous channel

et al. 2011

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Approximate analytic solutions to second-order nonlinear systems arising in natural convection flow and heat transfer in vertical porous channels are obtained via the Galerkin-Legendre Spectral Method. Furthermore, existence, uniqueness, and concavity results are established using Green's functions and degree theory. We find that an increase in either the Darcy number or the quadratic density temperature variation results in an increase in the velocity and the temperature of a Newtonian fluid. Finally, parametric zones for the occurrence of reverse flow are considered, and the resulting influences on the obtained approximate solutions are analyzed.

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Natural convection heat transfer of a viscous fluid in a vertical porous channel

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“…Another physical phenomenon is the case in which the temperature difference between the plate and the ambient fluid may be appreciably large. The nonlinear density temperature variation in the buoyancy force term (for details, see Barrow and Rao 1971;Vajravelu and Sastri 1977;Vajravelu et al 2003) may exert a strong influence on the flow and heat transfer characteristics. This physical concept has number of geothermal and engineering applications.…”

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confidence: 99%

Free Convection Boundary Layer Flow Past a Vertical Surface in a Porous Medium with Temperature-Dependent Properties

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Numerical solutions for the free convection heat transfer in a viscous fluid at a permeable surface embedded in a saturated porous medium, in the presence of viscous dissipation with temperature-dependent variable fluid properties, are obtained. The governing equations for the problem are derived using the Darcy model and the Boussinesq approximation (with nonlinear density temperature variation in the buoyancy force term). The coupled non-linearities arising from the temperature-dependent density, viscosity, thermal conductivity, and viscous dissipation are included. The partial differential equations of the model are reduced to ordinary differential equations by a similarity transformation and the resulting coupled, nonlinear ordinary differential equations are solved numerically by a second order finite difference scheme for several sets of values of the parameters. Also, asymptotic results are obtained for large values of | f w |. Moreover, the numerical results for the velocity, the temperature, and the wall-temperature gradient are presented through graphs and tables, and are discussed. It is observed that by increasing the fluid variable viscosity parameter, one could reduce the velocity and thermal boundary layer thickness. However, quite the opposite is true with the non-linear density temperature variation parameter.123 978 K. Vajravelu et al.

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“…Habchi and Acharaya [5] extended the work of Tao [4] to asymmetric heating where one plate is heated and other plate is adiabatic. Some of the published papers such as, Aung and Worku [6], Cheng et al [7], Hamadah and Wirtz [8], Barletta [9], Boulama and Galanes [10], Vajravelu and Sastri [11] and Ingham et al [12] deal with the mixed convection in a vertical parallel-plate channel with symmetric heating or asymmetric heating under different physical situations. All the above-mentioned researchers restricted their studies to a single-fluid model.…”

Section: Introductionmentioning

confidence: 99%

Convective heat transfer in the vertical channel flow of a clear fluid adjacent to a nanofluid layer: a two-fluid model

2012

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A two-fluid vertical channel flow and convective heat transfer model in which one of the two fluids is a nanofluid demonstrates that the nanofluid can modify the fluid velocity at the interface of the two fluids, and can be used to reduce shear at both the surface of the clear fluid and the interface of the two fluids. Moreover, we find that the addition of a nanofluiod can favorably modify thermal properties of the fluid.

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Fully developed laminar free convection flow between two parallel vertical walls—I

Cited by 120 publications

References 4 publications

Natural convection heat transfer of a viscous fluid in a vertical porous channel

Natural convection heat transfer of a viscous fluid in a vertical porous channel

Free Convection Boundary Layer Flow Past a Vertical Surface in a Porous Medium with Temperature-Dependent Properties

Convective heat transfer in the vertical channel flow of a clear fluid adjacent to a nanofluid layer: a two-fluid model

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