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AUTHOR(S): Ahmed Zeeshan, Muhammad Shahid Nadeem, Nikos Mastorakis
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ABSTRACT The basic aim of authors is develop an empirical relation for the radius of bubble versus the emerging parameters in modelling of the problem using sensitivity analysis procedure. The cavitating uni-dimensional bubbly flow of linear elastic fluid in a converging-diverging nozzle. The fields of mechanical engineering, shipping, environmental engineering, chemical engineering, and the medical sciences are just a few of the fields where bubbly flows are observed extensively. There are enormous applications of the bubble dynamics in engineering and medical. The geometry here considered is used in almost all mechanical machinery that includes automobiles, ships, pumps and valves etc. The cavitation tends to damage the wall of impact when bubble collapse or interact with neighbouring boundaries. The analysis helps to identify the behaviour of cavitating flow of bubbles subject to shape of nozzle and fluid properties. The equations of targeted flow are solved by RK-method using built-in function NDSolve in MATHEMATICA 10. The sensitivity analysis is performed using RSM (Response Surface Methodology) to identify the optimal response parameters affecting the flow. It is presented graphically that number of bubbles is an optimal parameter which is more sensitive as compared to other parameters involved. However elastic parameter and the cavitation number are also responsible to contribute in increase in sensitivity of radius and velocity and decrease in sensitivity of pressure. |
KEYWORDS Cavitation, Rayleigh-Plesset equation, Kelvin-Voigt fluid, Linear Elastic Fluid, Nozzle flow, Sensitivity |
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Cite this paper Ahmed Zeeshan, Muhammad Shahid Nadeem, Nikos Mastorakis . (2025) Empirical Development of Radius of Bubble in Flow of Linear Elastic Fluids through a Converging-Diverging Nozzle. International Journal of Theoretical and Applied Mechanics, 9, 14-31 |
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