Dynamical analysis of a rotating rigid body containing a viscous incompressible fluid

He, Ji‐Huan; Amer, T. S.; Amer, W. S.; Elkafly, H.F.; Galal, A. A.

doi:10.1108/hff-01-2023-0018

Cited by 7 publications

(4 citation statements)

References 43 publications

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“…References [13] and [27] are the closest works to our subject and provide an identical result with 0% error between both techniques. For comparison purposes with these works, the zero values of the GM and the point charge are considered to ensure the accuracy of the above-presented methodology.…”

Section: The Body-constant Torquementioning

confidence: 63%

“…For comparison purposes with these works, the zero values of the GM and the point charge are considered to ensure the accuracy of the above-presented methodology. Therefore, the obtained results are considered generalizations of those obtained previously in [13,27], which is because the viewpoint considered in studying the influence of the GM and the charge is not related before.…”

Section: The Body-constant Torquementioning

confidence: 73%

“…where ζ is a proportionality positive factor that is influenced by the medium's characteristics and the body's shape. Therefore, the GSM of the RB can be written as follows [1,13,27]…”

Section: Problem's Descriptionmentioning

confidence: 99%

“…Moreover, it is noted that the body's motion is dependent on the strength and direction of the magnetic field, as well as the initial charge of the body. In [27], the impact of the different body parameter values on the motion's behavior is theoretically explained for a charged RB containing a viscous incompressible liquid. The rotating RB enclosing a viscous fluid is a conundrum, in which it illustrates how the body characteristics impact the fluid's dynamic behavior.…”

Section: Introductionmentioning

confidence: 99%

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Studying the influence of a gyrostatic moment on the motion of a charged rigid body containing a viscous incompressible liquid

Galal,

Amer,

Elneklawy

et al. 2023

Eur. Phys. J. Plus

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The rotational motion of a charged rigid body (RB) is examined. The RB has a spherical cavity that contains an incompressible viscous liquid. The influence of a gyrostatic moment (GM), constant torques at the body-connected axes, and the action of the torque of a resistant force, due to the shape of the liquid, are considered. Assuming the liquid has a sufficiently high velocity, the Reynolds number does indeed have a small value. The regulating system of motion is derived in an appropriate formulation through Euler's equations of motion. The averaging method is used to approach a suitable form of the motion's governing system. In addition to using Taylor’s method to reach a solution for the averaged equations of motion of the RB, some initial conditions are considered to approach the required results. The asymptotic approach of the averaged system besides the numerical analysis enables us to obtain the appropriate results of the problem. To draw attention to the beneficial effects of the different values of the body’s parameter on the motion's behavior, these results are graphed through a computer program along with the associated phase plane curves. These diagrams illustrate the influence of several values respected to the GM, charge, body-constant torques, and resistive force torque. The stability of the RB's motion has also been discussed through the represented phase plane diagrams. These results are viewed as a generalization of prior ones, which have been reported for the scenario of an uncharged body or the absence case of the GM. The significance of the obtained results is due to its numerous real-world applications in life, such as for spaceships and wagons carrying liquid fuel.

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Section: The Body-constant Torquementioning

confidence: 63%

Section: The Body-constant Torquementioning

confidence: 73%

“…where ζ is a proportionality positive factor that is influenced by the medium's characteristics and the body's shape. Therefore, the GSM of the RB can be written as follows [1,13,27]…”

Section: Problem's Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations