2018
DOI: 10.1063/1.5041896
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A three-dimensional mathematical model for simulating ice accretion on helicopter rotors

Abstract: A new three-dimensional mathematical model is proposed to predict the shape of accreted ice on helicopter rotors. The model assumes that ice accretion on a rotor’s surface occurs by flow and solidification of a thin water film on its surface. The model is developed by analyzing conservation of mass, momentum, and energy in the thin water film on a rotating curved surface. The model is expressed in rotating body-fitted nonorthogonal curvilinear coordinates, and the Coriolis-force term in the momentum equations … Show more

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Cited by 18 publications
(6 citation statements)
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“…For example, the application of natural laminar flow technique requires the extremely smooth and precisely finished surfaces, while the current mechanical-based and hot-air anti/de-icing techniques have surface gaps and steps configurations which can provoke laminar-turbulent transition. 9 Moreover, recently various mathematical and numerical models have been proposed to simulate the ice accretion over the three dimensional surfaces and rotors 10,11 to help in development of novel icing control methods.…”
Section: Introductionmentioning
confidence: 99%
“…For example, the application of natural laminar flow technique requires the extremely smooth and precisely finished surfaces, while the current mechanical-based and hot-air anti/de-icing techniques have surface gaps and steps configurations which can provoke laminar-turbulent transition. 9 Moreover, recently various mathematical and numerical models have been proposed to simulate the ice accretion over the three dimensional surfaces and rotors 10,11 to help in development of novel icing control methods.…”
Section: Introductionmentioning
confidence: 99%
“…As a result, besides the first and second fundamental metric tensors, second cross fundamental forms of the surface were included to address the influence of the metrics. Similarly, to simulate the ice accretion on helicopter rotors, Chen 12 developed a three-dimensional ice accretion model on body-fitted nonorthogonal curvilinear coordinates. In this model, besides the gravity force, the centrifugal caused by the rotation of the coordinate was also accounted as body force.…”
Section: Introductionmentioning
confidence: 99%
“…16 Three-dimensional numerical investigations have been conducted on rotor icing simulations in both hovering and forward flight these years. [17][18][19][20][21][22] It is noted that direct simulation of the complex ice accretion process on the three-dimensional rotor is time-consuming. Additionally, ice accretion involves multidisciplines, such as aerodynamics, kinematics, and thermodynamics.…”
Section: Introductionmentioning
confidence: 99%