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• Kutta–Joukowski_theorem abstract "The Kutta–Joukowski theorem is a fundamental theorem of aerodynamics, for the calculation of the lift on a rotating cylinder. It is named after the German Martin Wilhelm Kutta and the Russian Nikolai Zhukovsky (or Joukowski) who first developed its key ideas in the early 20th century. The theorem relates the lift generated by a right cylinder to the speed of the cylinder through the fluid, the density of the fluid, and the circulation. The circulation is defined as the line integral, around a closed loop enclosing the cylinder or airfoil, of the component of the velocity of the fluid tangent to the loop. The magnitude and direction of the fluid velocity change along the path.The flow of air in response to the presence of the airfoil can be treated as the superposition of a translational flow and a rotational flow, known as a "vortex". (It is, however, misleading to picture a vortex like a tornado encircling the cylinder or the wing of an airplane in flight. The vortex is defined by the integral's path that encircles the cylinder, and is defined by the mathematical value of the vorticity; not a vortex of air.) In descriptions of the Kutta–Joukowski theorem the airfoil is usually considered to be a circular cylinder or some other Joukowski airfoil.The theorem refers to two-dimensional flow around a cylinder (or a cylinder of infinite span) and determines the lift generated by one unit of span. When the circulation is known, the lift per unit span (or ) of the cylinder can be calculated using the following equation:</dl>where and are the fluid density and the fluid velocity far upstream of the cylinder, and is the (anticlockwise positive) circulation defined as the line integral,around a closed contour enclosing the cylinder or airfoil and followed in the positive (anticlockwise) direction. This path must be in a region of potential flow and not in the boundary layer of the cylinder. The integrand is the component of the local fluid velocity in the direction tangent to the curve and is an infinitesimal length on the curve, . Equation (1) is a form of the Kutta–Joukowski theorem.Kuethe and Schetzer state the Kutta–Joukowski theorem as follows:The force per unit length acting on a right cylinder of any cross section whatsoever is equal to , and is perpendicular to the direction of".
• Kutta–Joukowski_theorem abstract "The Kutta–Joukowski theorem is a fundamental theorem of aerodynamics, for the calculation of the lift on a rotating cylinder. It is named after the German Martin Wilhelm Kutta and the Russian Nikolai Zhukovsky (or Joukowski) who first developed its key ideas in the early 20th century. The theorem relates the lift generated by a right cylinder to the speed of the cylinder through the fluid, the density of the fluid, and the circulation. The circulation is defined as the line integral, around a closed loop enclosing the cylinder or airfoil, of the component of the velocity of the fluid tangent to the loop. The magnitude and direction of the fluid velocity change along the path.The flow of air in response to the presence of the airfoil can be treated as the superposition of a translational flow and a rotational flow, known as a "vortex". (It is, however, misleading to picture a vortex like a tornado encircling the cylinder or the wing of an airplane in flight. The vortex is defined by the integral's path that encircles the cylinder, and is defined by the mathematical value of the vorticity; not a vortex of air.) In descriptions of the Kutta–Joukowski theorem the airfoil is usually considered to be a circular cylinder or some other Joukowski airfoil.The theorem refers to two-dimensional flow around a cylinder (or a cylinder of infinite span) and determines the lift generated by one unit of span. When the circulation is known, the lift per unit span (or ) of the cylinder can be calculated using the following equation:where and are the fluid density and the fluid velocity far upstream of the cylinder, and is the (anticlockwise positive) circulation defined as the line integral,around a closed contour enclosing the cylinder or airfoil and followed in the positive (anticlockwise) direction. This path must be in a region of potential flow and not in the boundary layer of the cylinder. The integrand is the component of the local fluid velocity in the direction tangent to the curve and is an infinitesimal length on the curve, . Equation (1) is a form of the Kutta–Joukowski theorem.Kuethe and Schetzer state the Kutta–Joukowski theorem as follows:The force per unit length acting on a right cylinder of any cross section whatsoever is equal to , and is perpendicular to the direction of".
• Kutta–Joukowski_theorem wikiPageID "8606325".
• Kutta–Joukowski_theorem wikiPageRevisionID "602490384".
• Kutta–Joukowski_theorem subject Category:Aerodynamics.
• Kutta–Joukowski_theorem subject Category:Fluid_dynamics.
• Kutta–Joukowski_theorem subject Category:Physics_theorems.
• Kutta–Joukowski_theorem comment "The Kutta–Joukowski theorem is a fundamental theorem of aerodynamics, for the calculation of the lift on a rotating cylinder. It is named after the German Martin Wilhelm Kutta and the Russian Nikolai Zhukovsky (or Joukowski) who first developed its key ideas in the early 20th century. The theorem relates the lift generated by a right cylinder to the speed of the cylinder through the fluid, the density of the fluid, and the circulation.".
• Kutta–Joukowski_theorem label "Kutta–Joukowski theorem".
• Kutta–Joukowski_theorem label "Satz von Kutta-Joukowski".
• Kutta–Joukowski_theorem label "Teorema de Kutta Joukowski".
• Kutta–Joukowski_theorem label "Teorema de Kutta-Yukovski".
• Kutta–Joukowski_theorem label "Teorema di Kutta-Žukovskij".
• Kutta–Joukowski_theorem label "Théorème de Kutta-Jukowski".
• Kutta–Joukowski_theorem label "Теорема Жуковского".
• Kutta–Joukowski_theorem label "クッタ・ジュコーフスキーの定理".
• Kutta–Joukowski_theorem sameAs Kutta%E2%80%93Joukowski_theorem.
• Kutta–Joukowski_theorem sameAs Satz_von_Kutta-Joukowski.
• Kutta–Joukowski_theorem sameAs Teorema_de_Kutta-Yukovski.
• Kutta–Joukowski_theorem sameAs Théorème_de_Kutta-Jukowski.
• Kutta–Joukowski_theorem sameAs Teorema_di_Kutta-Žukovskij.
• Kutta–Joukowski_theorem sameAs クッタ・ジュコーフスキーの定理.
• Kutta–Joukowski_theorem sameAs Teorema_de_Kutta_Joukowski.
• Kutta–Joukowski_theorem sameAs Q1752988.
• Kutta–Joukowski_theorem sameAs Q1752988.
• Kutta–Joukowski_theorem wasDerivedFrom Kutta–Joukowski_theorem?oldid=602490384.