Matches in SemOpenAlex for { <https://semopenalex.org/work/W3043669374> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W3043669374 abstract "At the beginning of the second half of the twentieth century, Proudman and Pearson (J. Fluid. Mech.,2(3), 1956, pp.237-262) suggested that the functional form of the drag coefficient ($C_D$) of a single sphere subjected to uniform fluid flow consists of a series of logarithmic and power terms of the Reynolds number ($Re$). In this paper, we will explore the validity of the above statement for Reynolds numbers up to $10^{6}$ by using a symbolic regression machine learning method. The algorithm is trained by available experimental data and data from well-known correlations from the literature for $Re$ ranging from $0.1$ to $2times 10^5$. Our results show that the functional form of the $C_D$ contains powers of $log(Re)$, plus the Stokes term, fulfilling partially the statement made above. The logarithmic $C_D$ expressions can generalize (extrapolate) beyond the training data and are the first in the literature to predict with acceptable accuracy the rapid decrease (drag crisis) of the $C_D$ at high $Re$. We also find a connection between the root of the $Re$-dependent terms in the $C_D$ expression and the first point of laminar separation. We did the same analysis for the problem of heat transfer under forced convection around a sphere and found that the logarithmic terms of $Re$ and Peclect number $Pe$ play an essential role in the variation of the Nusselt number $Nu$. The machine learning algorithm independently found the asymptotic solution of Acrivos and Goddard (J. Fluid. Mech., 23(2),1965, pp.273-291)." @default.
- W3043669374 created "2020-07-23" @default.
- W3043669374 creator A5057833615 @default.
- W3043669374 creator A5086564996 @default.
- W3043669374 date "2020-07-20" @default.
- W3043669374 modified "2023-09-27" @default.
- W3043669374 title "On the Existence of Logarithmic Terms in the Drag Coefficient and Nusselt Number of a Single Sphere at High Reynolds Numbers" @default.
- W3043669374 cites W1482700787 @default.
- W3043669374 cites W1490936490 @default.
- W3043669374 cites W1576818901 @default.
- W3043669374 cites W1607071030 @default.
- W3043669374 cites W1659842140 @default.
- W3043669374 cites W2138745909 @default.
- W3043669374 cites W2271840356 @default.
- W3043669374 cites W2915622878 @default.
- W3043669374 cites W2950220847 @default.
- W3043669374 cites W3016401366 @default.
- W3043669374 cites W3175695286 @default.
- W3043669374 cites W576767351 @default.
- W3043669374 cites W596834316 @default.
- W3043669374 cites W612538216 @default.
- W3043669374 cites W96594851 @default.
- W3043669374 cites W2765076328 @default.
- W3043669374 hasPublicationYear "2020" @default.
- W3043669374 type Work @default.
- W3043669374 sameAs 3043669374 @default.
- W3043669374 citedByCount "0" @default.
- W3043669374 crossrefType "posted-content" @default.
- W3043669374 hasAuthorship W3043669374A5057833615 @default.
- W3043669374 hasAuthorship W3043669374A5086564996 @default.
- W3043669374 hasConcept C121332964 @default.
- W3043669374 hasConcept C130230704 @default.
- W3043669374 hasConcept C134306372 @default.
- W3043669374 hasConcept C179407788 @default.
- W3043669374 hasConcept C182748727 @default.
- W3043669374 hasConcept C196558001 @default.
- W3043669374 hasConcept C33923547 @default.
- W3043669374 hasConcept C39927690 @default.
- W3043669374 hasConcept C72117827 @default.
- W3043669374 hasConcept C72921944 @default.
- W3043669374 hasConcept C97355855 @default.
- W3043669374 hasConceptScore W3043669374C121332964 @default.
- W3043669374 hasConceptScore W3043669374C130230704 @default.
- W3043669374 hasConceptScore W3043669374C134306372 @default.
- W3043669374 hasConceptScore W3043669374C179407788 @default.
- W3043669374 hasConceptScore W3043669374C182748727 @default.
- W3043669374 hasConceptScore W3043669374C196558001 @default.
- W3043669374 hasConceptScore W3043669374C33923547 @default.
- W3043669374 hasConceptScore W3043669374C39927690 @default.
- W3043669374 hasConceptScore W3043669374C72117827 @default.
- W3043669374 hasConceptScore W3043669374C72921944 @default.
- W3043669374 hasConceptScore W3043669374C97355855 @default.
- W3043669374 hasLocation W30436693741 @default.
- W3043669374 hasOpenAccess W3043669374 @default.
- W3043669374 hasPrimaryLocation W30436693741 @default.
- W3043669374 hasRelatedWork W1676588509 @default.
- W3043669374 hasRelatedWork W2017115245 @default.
- W3043669374 hasRelatedWork W2046521435 @default.
- W3043669374 hasRelatedWork W2048831664 @default.
- W3043669374 hasRelatedWork W2078502748 @default.
- W3043669374 hasRelatedWork W2084565290 @default.
- W3043669374 hasRelatedWork W2117015752 @default.
- W3043669374 hasRelatedWork W2154608492 @default.
- W3043669374 hasRelatedWork W2169150637 @default.
- W3043669374 hasRelatedWork W2335028210 @default.
- W3043669374 hasRelatedWork W2594947140 @default.
- W3043669374 hasRelatedWork W2896876853 @default.
- W3043669374 hasRelatedWork W2989743451 @default.
- W3043669374 hasRelatedWork W3093157990 @default.
- W3043669374 hasRelatedWork W3105414107 @default.
- W3043669374 hasRelatedWork W3105955713 @default.
- W3043669374 hasRelatedWork W3131431243 @default.
- W3043669374 hasRelatedWork W3174534592 @default.
- W3043669374 hasRelatedWork W3192210080 @default.
- W3043669374 hasRelatedWork W2523319470 @default.
- W3043669374 isParatext "false" @default.
- W3043669374 isRetracted "false" @default.
- W3043669374 magId "3043669374" @default.
- W3043669374 workType "article" @default.