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    Hydrodynamically Smooth And Rough Boundaries Assignment help

    When the average depth k of the surface irregularities is less than laminar sub-layer of the surface δ is called as hydrodynamic ally smooth boundary. Hydrodynamically smooth and rough boundaries assignment help, hydrodynamically smooth and rough boundaries homework help.

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    Hydrodynamically Smooth And Rough Boundaries Assignment Help | Hydrodynamically Smooth And Rough Boundaries Homework Help

    Hydrodynamically Smooth and Rough Boundaries

    •    When the average depth  k of the surface irregularities is less than laminar sub-layer of the surface δ is called as hydrodynamic ally smooth boundary.

    •    The eddy which formed outside of the laminar sub-layer try to penetrate in the laminar sub-layer boundary is called as smooth boundary as shown in

    •    When the average depth k of the surface irregularities is greater than laminar sub-layer of surface δ is called as hydrodynamic ally rough boundary.

    •    The eddy which formed outside of the laminar sub layer penetrates into the laminar sub-layer. Such boundary is called as rough boundary as shown in.

    By Nikuradse’s experiments,

    (1)    When k / δ < 0.25 , smooth boundary.

    (2)    When k / δ > 6 , rough boundary.

    (3)    When 0.25 < k / δ < 6, transition boundary.

    In terms of roughness Reynold’s number,

    (1)    u.k / v < 4, smooth boundary.

    (2)    u.k / v > 100, rough boundary.

    (3)    u.k / v lies between 4 to 100, transition boundary.

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    [Solved] A boundary is known as hydrodynamically smooth if:

    Concept: Hydro-dynamically smooth: If the average height of irregularities (k) is much lesser than the thickness of the laminar sub-layer (δ), then th

    Home Fluid Mechanics Boundary Layer Theory Terms Associated with Boundary Layer Boundary Layer Thickness

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    A boundary is known as hydrodynamically smooth if: 

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    Kδ=0.3 Kδ>0.3 Kδ<0.25 Kδ=0.5

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    Concept:

    Hydro-dynamically smooth:

    If the average height of irregularities (k) is much lesser than the thickness of the laminar sub-layer (δ), then the boundary is called hydro-dynamically smooth.

    Hydro-dynamically rough:

    If the average height of irregularities (k) is much greater than the thickness of the laminar sub-layer (δ), then the boundary is called hydro-dynamically rough.

    According to NIKURDE's Experiment, the boundary is classified as:

    Hydrodynamically smooth when

    kδ<0.25

    Boundary transition condition, when

    0.25

    Hydrodynamically rough when

    kδ>6

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    Hydro-dynamically smooth and rough boundaries

    written 3.6 years ago by

    teamques10 ★ 34k

    advanced fluid mechanics

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    1 Answer

    1 1.0k views

    written 3.6 years ago by

    teamques10 ★ 34k

    (a) Smooth Boundary

    (b) Rough Boundary

    Let the average height of the irregularities projecting from the surface of boundary be denoted as ‘K’.

    Now, if the value of ‘K’ is large for a boundary then the boundary is called as Rough boundary.

    And if the value of ‘K’ is smaller or less, then the boundary is known as Smooth boundary.

    This is the classification of rough and smooth boundaries based on boundary characteristics. But for proper classification flow and fluid characteristics are also considered.

    Hydro-dynamically smooth boundary

    1) For a turbulent flow analysis, the flow is divided into two parts or portions.

    2) The first portion consists of a thin layer of fluid in the immediate neighbourhood of the boundary, where the viscous shear stress is stronger whereas the shear stress due to turbulent is negligible. This is known as laminar sublayer.

    3) The second portion of flow is the one where shear stress due to turbulence is higher or large as compared to the viscous shear and this zone is called as Turbulent zone.

    4) The zone upto which or the height upto which the effect of viscosity predominates is denoted by

    δ ′ δ′ .

    5) So, we can say that if the average velocity height ‘K’ is less than ‘

    δ ′ δ′

    ’, then the boundary is called as Smooth boundary.

    6) This happens because, outside the laminar sub-layer the flow is turbulent and eddies of various sizes present in the turbulent flow try to penetrate through the laminar sub-layer, but due to the great thickness of laminar sub-layer the eddies are unable to reach the surface irregularities and so the boundary behaves as smooth boundary.

    Hydro-dynamically rough boundary

    1) If the Reynolds number of the flow increases, the thickness of laminar sub-layer decreases.

    2) If this happens, then the average height ‘K’ of irregularities is above the laminar sub-layer and thus the eddies present will come in contact with irregularities of the surface and lot of energy will be lost.

    3) Such a boundary is known as Hydro-dynamically rough boundary.

    Conditions from Nikuradse’s experiment:-

    1) If ( K ′ δ ′ )<0.25 (K′δ′)<0.25 , (smooth boundary) 2) If ( K ′ δ ′ )>6.0 (K′δ′)>6.0 , (Rough boundary) 3) If 0.25<( K ′ δ ′ )<6.0 0.25<(K′δ′)<6.0

    , (boundary is in transition)

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