Numerical modeling of the impact pressure in a compressible liquid medium: application to the slap phase of the locomotion of a basilisk lizard

Sharma, Deewakar; Erriguible, Arnaud; Amiroudine, Sakir

doi:10.1007/s00162-017-0422-4

Cited by 12 publications

(5 citation statements)

References 19 publications

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“…Thetis, which has already been described and validated for a number of benchmark cases for incompressible fluids [26,27] and compressible fluids [24,[28][29][30]. The fluxes in the equations are discretized using second order centred difference scheme.…”

Section: Mathematical Model and Solution Methodologymentioning

confidence: 99%

Vibration-induced thermal instabilities in supercritical fluids in the absence of gravity

et al. 2019

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Supercritical fluids (SCFs) are known to exhibit anomalous behaviour in their thermophysical properties such as diverging compressibility and vanishing thermal diffusivity on approaching the critical point. This behaviour leads to a strong thermo-mechanical coupling when SCFs are subjected to simultaneous thermal perturbation and mechanical vibration. The behaviour of the thermal boundary layer (TBL) leads to various interesting dynamics such as thermo-vibrational instabilities, which become particularly ostensive in the absence of gravity. In the present work, two types of instabilities, Rayleigh-vibrational and parametric instabilities, have been numerically investigated under zero-gravity in a 2D configuration using a mathematical model wherein density is calculated directly from continuity equation. Comparison of experimental observations with numerical simulations is also presented. The peculiarity of the model warrants instabilities to be investigated in a more stringent manner (in terms of higher quench percentage and closer proximity to the critical point), unlike the previous studies wherein the equation of state was linearized around the considered state for the calculation of density, resulting in a less precise analysis. In addition to providing physical explanation causing these instabilities, the effect of various parameters on the critical amplitude for the onset of these instabilities is analysed. Furthermore, various attributes such as wavelength of the instabilities, their behaviour under various factors (quench percentage and acceleration) and the effect of cell 2 size on the critical amplitude is also investigated. Finally, a 3D stability plot is shown describing the type of instability (Rayleigh-vibrational or parametric or both) to be expected for the operating condition in terms of amplitude, frequency and quench percentage for a given proximity to the critical point.

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Section: Mathematical Model and Solution Methodologymentioning

confidence: 99%

Vibration-induced thermal instabilities in supercritical fluids in the absence of gravity

et al. 2019

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“…Though the above presented model has been validated for various test cases [41,45,57], it is being used for the first time to capture the reaction/combustion dynamics. Thus, we validate the model with a simple test case of a freely propagating premixed flame in 1D configuration as presented in [58].…”

Section: Model Validationmentioning

confidence: 99%

Supercritical Water Oxidation Using Hydrothermal Flames at Microscale as a Potential Solution for Organic Waste Treatment in Space Applications – a Practical Demonstration and Numerical Study

Sharma,

Nguyen,

Palencia

et al. 2023

Preprint

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“…Park and Floyd established a dynamic model of the movement process of a quadruped water running robot, analyzed the pitch balance problem, conducted a detailed study on the dynamic problem of the interaction between the foot and the water, and obtained a constraint equation for the robot to maintain dynamic balance and avoid overturning during the process of slapping the water surface [9][10][11]. Sharma and Erriguible established a mechanical numerical model of the water-slapping phase of a basilisk lizard, providing a theoretical basis for analyzing the force situation when the robot's foot slaps the water surface [12]. Gao and Hao conducted a simulation analysis and experimental verification of the interaction between the legs of a water running robot and water, studied the phenomenon of the foot forming an air cavity under water during high-speed movement in water, and proposed that the reason for the appearance of the air cavity is that the foot movement speed has reached a certain threshold [13].…”

Section: Introductionmentioning

confidence: 99%

Design of a bipedal robot for water running based on a six-linkage mechanism inspired by basilisk lizards

Zhao,

Han,

et al. 2024

Bioinspir. Biomim.

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Legged robots have received widespread attention in academia and engineering owing to their excellent terrain adaptability. However, most legged robots can only adapt to high-hardness environments instead of flexible environments. Expanding the motion range of legged robots to water is a promising but challenging work. Inspired by basilisk lizards which can run on water surfaces by feet, this paper proposes a bipedal robot for water running by hydrodynamics instead of buoyancy. According to the motion parameters of the basilisk lizard during water running, a single-DoF bipedal mechanism is proposed to reproduce the motion trajectory of the feet of the basilisk lizard. Scale optimization is conducted by a particle swarm optimization algorithm to determine the geometrical parameters of the mechanism. The effects of motion frequency and foot area on mechanism performance are studied and the optimal solutions are determined. A bipedal water running robot prototype was fabricated, and the experimental results show that the prototype can generate enough support for the robot running on the water by providing a maximum lift of 2.4 times its weight and reaching a horizontal forward speed range of 0.3–0.8 m/s.

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Numerical modeling of the impact pressure in a compressible liquid medium: application to the slap phase of the locomotion of a basilisk lizard

Cited by 12 publications

References 19 publications

Vibration-induced thermal instabilities in supercritical fluids in the absence of gravity

Vibration-induced thermal instabilities in supercritical fluids in the absence of gravity

Supercritical Water Oxidation Using Hydrothermal Flames at Microscale as a Potential Solution for Organic Waste Treatment in Space Applications – a Practical Demonstration and Numerical Study

Design of a bipedal robot for water running based on a six-linkage mechanism inspired by basilisk lizards

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