1989
DOI: 10.1016/0017-9310(89)90192-0
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A swirled jet problem

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Cited by 5 publications
(9 citation statements)
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“…Loitsyanskiy [Chigier and Chervinsky, 1967;Mathur and MacCallum, 1967], as well as theoretical derivation for laminar swirling jets with free convection [Martynenko, Korovkin, and Sokovishin, 1985] and swirling jets with and without buoyant terms [Martynenko, Korovkin, and Sokovishin, 1989]. There are excellent recent reviews of vortices [Rossi, 2006].…”
Section: Swirling Jets For Mitigation Of Hot Spots and Thermal Stratifimentioning
confidence: 99%
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“…Loitsyanskiy [Chigier and Chervinsky, 1967;Mathur and MacCallum, 1967], as well as theoretical derivation for laminar swirling jets with free convection [Martynenko, Korovkin, and Sokovishin, 1985] and swirling jets with and without buoyant terms [Martynenko, Korovkin, and Sokovishin, 1989]. There are excellent recent reviews of vortices [Rossi, 2006].…”
Section: Swirling Jets For Mitigation Of Hot Spots and Thermal Stratifimentioning
confidence: 99%
“…Vortex research in Cartesian coordinates includes the Green-Taylor vortex [Taylor and Green, 1937] and the helicoid vortex developed in Section 5.1.1 [Rodriguez andEl-Genk, 2008a, 2010d]. Various researchers selected spherical coordinates [Tsukker, 1955;Gol'Dshtik and Yavorskii, 1986;Hwang and Chwang, 1992], but the vast majority of the research found in the literature is in cylindrical coordinates [Rankine, 1858;Lamb-Oseen, 1932;Burgers, 1948;Loitsyanskiy, 1953;Gortler, 1954;Newman, 1959;Sullivan, 1959;Batchelor, 1964;Squire, 1965;Chepura, 1969;Martynenko, 1989;Aboelkassem, Vatistas, and Esmail, 2005;Rodriguez andEl-Genk, 2008a, 2010d]. Cylindrical coordinates are chosen primarily due to its geometric simplicity and excellent mapping of the vortex behavior onto a coordinate system-in particular, as a 3D vortex spins azimuthally as it stretches about the z axis, the vortex velocity field shape fills up a cylindrical geometry.…”
Section: Vortex Modelingmentioning
confidence: 99%
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“…Vortex research in Cartesian coordinates includes the Green-Taylor vortex (Taylor and Green, 1937) and the helicoid vortex discussed herein El-Genk, 2008a, 2010b andd). Various researchers selected spherical coordinates (Gol'Dshtik and Yavorskii, 1986;Hwang and Chwang, 1992;Tsukker, 1955), but the vast majority of the research found in the literature is in cylindrical coordinates (Aboelkassem, Vatistas, and Esmail, 2005;Batchelor, 1964;Burgers, 1948;Chepura, 1969;Gortler, 1954;Lamb, 1932;Loitsyanskiy, 1953;Martynenko, 1989;Newman, 1959;Rankine, 1858;El-Genk, 2008a, 2010b andd;Sullivan, 1959;Squire, 1965). Cylindrical coordinates are chosen primarily due to its geometric simplicity and excellent mapping of the vortex behavior onto a coordinate system-in particular, as a 3D vortex spins azimuthally, stretching about the z axis, the vortex velocity field engulfs a cylindrical geometry.…”
Section: Vortex Modelingmentioning
confidence: 99%
“…An inspection of the literature over the past 150 years shows that the above equations are generally the departure point for generating analytic solutions for axisymmetric swirling flows (vortices) (Aboelkassem, Vatistas, and Esmail, 2005;Batchelor, 1964;Burgers, 1948;Chepura, 1969;Gortler, 1954;Lamb, 1932;Loitsyanskiy, 1953;Martynenko, 1989;Newman, 1959;Rankine, 1858;Rodriguez and El-Genk, 2010b;Sullivan, 1959;Squire, 1965).…”
Section: Vortex Modelingmentioning
confidence: 99%