An Extension to the First Order Slip Boundary Conditions to be Used in Early Transition Regime

Bayazıtoğlu, Yıldız; Tunc, Gokturk

doi:10.2514/6.2002-2779

8th AIAA/ASME Joint Thermophysics and Heat Transfer Conference 2002

DOI: 10.2514/6.2002-2779

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An Extension to the First Order Slip Boundary Conditions to be Used in Early Transition Regime

Yıldız Bayazıtoğlu

Gokturk Tunc

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2009

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“…The dependence of the slip coefficient on higher-order Kn has been studied by many researchers. Recent works involving the determination of empirical slip coefficients and slip models can be can be found in Bahukudumbi et al [16], Beskok [17], Pan et al [18], and Bayazitoglu and Tunc [19]. The performance of several proposed empirical slip models was investigated by McNenly et al [20] by comparing the simulation results with the Direct Simulation Monte Carlo data.…”

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Natural Convection over Vertical Plates: Local-Nonsimilarity Slip Flow Solutions

Cao

Baker

2009

Journal of Thermophysics and Heat Transfer

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Natural convection over a vertical isothermal plate has been modeled with first-order momentum and thermal discontinuities at the wall. A local-nonsimilarity transformation has been applied and numerical solutions were obtained based on the three-equation model. The presence of nonequilibrium at the wall has been found to result in a nonsimilar boundary-layer problem. Nonsimilar velocity and temperature distributions within the boundary layer have been obtained. Results are presented which indicate the effects of nonequilibrium on wall slip velocity, temperature jump, wall shear stress, and boundary-layer thickness for both gaseous and liquid flows. Equations for predicting the drag and average Nusselt number have been formulated as an integral function of the nonequilibrium parameter. A reduction in heat transfer was predicted for more rarified gaseous flows with simultaneous momentum slip and thermal jump conditions. In liquids, without a thermal jump, heat transfer was found to increase relative to the respective no-slip value. Nomenclatureheat transfer coefficient Kn = Knudsen number k = thermal conductivity L = characteristic length Nu = Nusselt number Pr = Prandtl number p = pressure T = temperature u = streamwise velocity v = normal velocity x = coordinate along the plate y = coordinate normal to the plate = thermal accommodation coefficient = volumetric thermal expansion coefficient = specific heat ratio of air = boundary-layer thickness = similarity variable = dimensionless temperature = mean free path = dynamic viscosity = kinematic viscosity = dimensionless nonsimilarity variable = shear stress = derivative of = derivative of = stream function Subscripts L = length of plate slip = slip condition w = wall boundary x = local streamwise position 1 = ambient conditions

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Natural Convection over Vertical Plates: Local-Nonsimilarity Slip Flow Solutions

Cao

Baker

2009

Journal of Thermophysics and Heat Transfer

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An Extension to the First Order Slip Boundary Conditions to be Used in Early Transition Regime

Cited by 1 publication

References 10 publications

Natural Convection over Vertical Plates: Local-Nonsimilarity Slip Flow Solutions

Natural Convection over Vertical Plates: Local-Nonsimilarity Slip Flow Solutions

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