1959
DOI: 10.1061/jyceaj.0000276
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Boundary-Shear Stress in Unsteady Turbulent Pipe Flow

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Cited by 47 publications
(6 citation statements)
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“…This approach yields satisfactory outcomes with less numerical accuracy as the convolution integral is approximated by a small number of weighted coefficients [30,31]. Carstens et al [32] introduced instantaneous acceleration-based methods based on the assumptions that unsteady friction damping results from transient local and convective accelerations. Several alternative formulations [33][34][35] have been proposed since then.…”
Section: Water Hammer Equation With Unsteady Frictionmentioning
confidence: 99%
“…This approach yields satisfactory outcomes with less numerical accuracy as the convolution integral is approximated by a small number of weighted coefficients [30,31]. Carstens et al [32] introduced instantaneous acceleration-based methods based on the assumptions that unsteady friction damping results from transient local and convective accelerations. Several alternative formulations [33][34][35] have been proposed since then.…”
Section: Water Hammer Equation With Unsteady Frictionmentioning
confidence: 99%
“…(1) Métodos com base empírica ou baseados em acelerações instantâneas, como é o caso dos métodos apresentados por Daily et al (1956), Carstens e Roller (1959), Sawafat e Polder (1973) e Brunone et al (1991); (2) Métodos com base física, dentre os quais destacam-se os métodos propostos por Zielke (1968) e Vardy e Brown (1993, 2003, 2004. Dessa revisão foram identificados o modelo de Brunone et al (1991), de base empírica e o modelo de Vardy et al (1993), com base física, com o propósito de serem comparados em etapa posterior da pesquisa.…”
Section: Metodologiaunclassified
“…De fato, não exigem muita memória para o armazenamento de variáveis de escoamento previamente calculadas e, em geral, não dependem de procedimentos iterativos complexos (Pothof, 2008). Existe uma variedade de modelos unidimensionais para o atrito variável, que podem ser classificados, conforme Pothof (2008), em duas classes: (1) Métodos com base empírica ou baseados em acelerações instantâneas, como é o caso dos métodos apresentados por Daily et al (1956), Carstens e Roller (1959), Sawafat e Polder (1973) e Brunone et al (1991); (2) Métodos com base física, dentre os quais destacam-se os métodos propostos por Zielke (1968) e Vardy e Brown (1993, 2003, 2004. Dentre os métodos incluídos na classe (1) destaca-se o de Brunone et al (1991), que descreve com boa acurácia os escoamentos transientes turbulentos em sistemas simples.…”
Section: Introductionunclassified
“…Daily et al (1956) developed a model in which the unsteady friction is dependent on instantaneous mean flow velocity and instantaneous local acceleration. Carstens & Roller (1959) presented the influence of instantaneous mean flow velocity and instantaneous local acceleration on friction terms. The instantaneous-acceleration unsteady friction model is simple to implement and computationally efficient but is difficult to determine the empirical parameter.…”
Section: Introductionmentioning
confidence: 99%