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VELOCITY DISTRIBUTION EQUATIONS FOR LAMINAR AND TURBULENT BOUNDARY LAYERS
The Laminar Boundary Layer (LBL) over a flat plate is a member of the family of similar flows over a wedge, which is famously known as Falkner-Skan Flows (FSF). Based on the available numerical results, this paper gives velocity distribution equations for LBL over a flat plate and FSF, which exhibit the influence of viscosity and external stream flow all over the depth of LBL. In the case of a Turbulent Boundary Layer (TBL), viscosity and boundary roughness affect the velocity distribution in the inner region, while the external stream flow influences the outer region. The majority of TBL consists of the outer region in which the velocity saturates to external stream value. Available outer region models consist of superimposition of a wake function over the log-layer equation. The superimposed equation does not satisfy the boundary condition of free-stream velocity at infinite distance from the boundary. Presented herein is a generalized velocity distribution equation for both the inner and outer regions of the TBL. The equation is valid for both negative and positive pressure gradients. As the equation contains wall shear velocity, a generalized equation for wall shear velocity has also been given.
VELOCITY DISTRIBUTION EQUATIONS FOR LAMINAR AND TURBULENT BOUNDARY LAYERS
The Laminar Boundary Layer (LBL) over a flat plate is a member of the family of similar flows over a wedge, which is famously known as Falkner-Skan Flows (FSF). Based on the available numerical results, this paper gives velocity distribution equations for LBL over a flat plate and FSF, which exhibit the influence of viscosity and external stream flow all over the depth of LBL. In the case of a Turbulent Boundary Layer (TBL), viscosity and boundary roughness affect the velocity distribution in the inner region, while the external stream flow influences the outer region. The majority of TBL consists of the outer region in which the velocity saturates to external stream value. Available outer region models consist of superimposition of a wake function over the log-layer equation. The superimposed equation does not satisfy the boundary condition of free-stream velocity at infinite distance from the boundary. Presented herein is a generalized velocity distribution equation for both the inner and outer regions of the TBL. The equation is valid for both negative and positive pressure gradients. As the equation contains wall shear velocity, a generalized equation for wall shear velocity has also been given.
VELOCITY DISTRIBUTION EQUATIONS FOR LAMINAR AND TURBULENT BOUNDARY LAYERS
Swamee, P. K. (author) / Pathak, S. K. (author)
ISH Journal of Hydraulic Engineering ; 8 ; 50-59
2002-01-01
10 pages
Article (Journal)
Electronic Resource
Unknown
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