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    Turbulent Flow in a Transitional Rough Pipe Universal Laws; Power Law Velocity With Equivalent Log Law Velocity in the Overlap Region: Commencing From Fully Smooth Pipe Flow 

    Source: Journal of Fluids Engineering:;2025:;volume( 147 ):;issue: 005:;page 51303-1
    Author(s): Afzal, Noor
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The turbulent transitional rough pipe universal power law and equivalent log law are, independent of wall roughness, without any closure model. The open Reynolds mean momentum equations are employed without closure models ...
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    Parametric Analysis of Turbulent Wall Jet in Still Air Over a Transitional Rough, With Asymptotes of Fully Rough and Fully Smooth Wall Jets 

    Source: Journal of Fluids Engineering:;2013:;volume( 135 ):;issue: 011:;page 111203
    Author(s): Afzal, Noor; Seena, Abu
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The novel scalings for streamwise variations of the flow in a turbulent wall jet over a fully smooth, transitional, and fully rough surfaces have been analyzed. The universal scaling for arbitrary wall roughness is considered ...
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    Discussions: (1) “On the Axisymmetric Turbulent Boundary Layer Growth Along Long Thin Circular Cylinders,â€‌ (Jordan, S. A., 2014, ASME J. Fluids Eng., 136(5), p. 051202) and (2) “Understanding Tow Tank Measurements of Total Drag for Long Thin Circular Cylinders,â€‌ (Jordan, S. A., 2014, ASME J. Fluids Eng., 136(3), p. 031205) 

    Source: Journal of Fluids Engineering:;2015:;volume( 137 ):;issue: 003:;page 35501
    Author(s): Afzal, Noor; Seena, Abu
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In a recent paper, work of Jordan [1] has pointed out that “measurements of Lueptow et al. [2] did not confirm the empirical expression خ´/a=0.45(x/a)0.746 proposed by Afzal and Singh [3], but however supports the general ...
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    Mean Velocity, Reynolds Shear Stress, and Fluctuations of Velocity and Pressure Due to Log Laws in a Turbulent Boundary Layer and Origin Offset by Prandtl Transposition Theorem 

    Source: Journal of Fluids Engineering:;2018:;volume( 140 ):;issue: 007:;page 71204
    Author(s): Afzal, Noor; Seena, Abu
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The maxima of Reynolds shear stress and turbulent burst mean period time are crucial points in the intermediate region (termed as mesolayer) for large Reynolds numbers. The three layers (inner, meso, and outer) in a turbulent ...
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