Physics > Fluid Dynamics
[Submitted on 12 Oct 2018 (v1), last revised 19 Aug 2024 (this version, v23)]
Title:Skin-Friction and Forced Convection from Rough and Smooth Plates
View PDFAbstract:Since the 1930s, theories of skin-friction drag from plates with rough surfaces have been based by analogy to turbulent flow in pipes with rough interiors. Failure of this analogy at slow velocities has frustrated attempts to create a comprehensive theory.
Utilizing the concept of a self-similar roughness which disrupts the boundary layer at all scales, this investigation derives formulas for a rough or smooth plate's skin-friction coefficient and forced convection heat transfer given its characteristic length, root-mean-squared (RMS) height-of-roughness, isotropic spatial period, Reynolds number, and the fluid's Prandtl number.
This novel theory was tested with 456 heat transfer and friction measurements in 32 data-sets from one book, six peer-reviewed studies, and the present apparatus. Compared with the present theory, the RMS relative error (RMSRE) values of the 32 data-sets span 0.75% through 8.2%, with only four data-sets exceeding 6%. Prior work formulas have smaller RMSRE on only four of the data-sets.
Submission history
From: Aubrey Jaffer [view email][v1] Fri, 12 Oct 2018 21:37:45 UTC (50 KB)
[v2] Fri, 7 Jun 2019 02:15:48 UTC (337 KB)
[v3] Tue, 25 Jun 2019 02:20:40 UTC (319 KB)
[v4] Mon, 8 Jul 2019 01:55:38 UTC (319 KB)
[v5] Mon, 22 Jul 2019 01:46:08 UTC (321 KB)
[v6] Tue, 13 Aug 2019 02:24:59 UTC (65 KB)
[v7] Sat, 26 Oct 2019 19:26:00 UTC (106 KB)
[v8] Tue, 5 Nov 2019 21:30:58 UTC (115 KB)
[v9] Thu, 7 Nov 2019 03:31:08 UTC (115 KB)
[v10] Wed, 7 Oct 2020 01:45:49 UTC (128 KB)
[v11] Tue, 29 Dec 2020 01:58:55 UTC (438 KB)
[v12] Sun, 31 Jan 2021 23:34:05 UTC (429 KB)
[v13] Tue, 8 Jun 2021 00:08:04 UTC (1,050 KB)
[v14] Mon, 14 Mar 2022 00:21:51 UTC (2,603 KB)
[v15] Fri, 12 Aug 2022 00:46:42 UTC (2,635 KB)
[v16] Sat, 13 May 2023 01:28:06 UTC (2,706 KB)
[v17] Sat, 1 Jul 2023 01:24:30 UTC (2,708 KB)
[v18] Wed, 2 Aug 2023 23:50:22 UTC (2,388 KB)
[v19] Thu, 7 Sep 2023 20:24:04 UTC (2,463 KB)
[v20] Wed, 1 Nov 2023 02:07:34 UTC (2,450 KB)
[v21] Sat, 2 Dec 2023 02:35:24 UTC (2,452 KB)
[v22] Wed, 7 Feb 2024 16:03:39 UTC (2,434 KB)
[v23] Mon, 19 Aug 2024 00:53:56 UTC (2,434 KB)
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