Numerical simulation of unidimensional bubbly flow in linear and non-linear one parameter elastic liquid through a nozzles

This paper studies one dimensional bubbly cavitating flow of elastic fluids through micro sized nozzles of different shapes. Cavitating flows are applicable in wide range of applications in medical and engineering sciences, such as, the cleansing of teeth, ultrasound and cancer treatment. They are a...

Full description

Saved in:
Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2022-04, Vol.231 (3), p.571-581
Main Authors: Shahid Nadeem, Muhammad, Zeeshan, Ahmed, Alzahrani, F.
Format: Article
Language:English
Subjects:
Atomic
Cavitation
Classical and Continuum Physics
Condensed Matter Physics
Current Trends in Computational and Experimental Techniques in Nonlinear Dynamics
Differential equations
Dynamical systems
Flow equations
Fluid flow
Materials Science
Mathematical models
Measurement Science and Instrumentation
Molecular
Nonlinear dynamics
Nonlinear systems
Nozzles
Optical and Plasma Physics
Ordinary differential equations
Parameters
Physics
Physics and Astronomy
Regular Article
Runge-Kutta method
Velocity distribution
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper studies one dimensional bubbly cavitating flow of elastic fluids through micro sized nozzles of different shapes. Cavitating flows are applicable in wide range of applications in medical and engineering sciences, such as, the cleansing of teeth, ultrasound and cancer treatment. They are also responsible for erosion on metallic surfaces, damages to machinery, pumps etc. The above make advances in the field important and useful in reducing possible destructive effects of such flows. In current study two types of elastic fluid models namely neo-Hookean and linear elastic are considered. The nonlinear dynamics of bubbly mixture is modeled by incorporating the Rayleigh–Plesset equation. The system is modelled by nonlinear system of ordinary differential equations, which are reduced to non-dimensional form via suitable similarity transformations. The Runge–Kutta numerical technique of 4th order is utilized to solve the set of flow equations. The influences of various emerging parameters on bubble radius, velocity profile and pressure of bubble are illustrated graphically and discussed in detail.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjs/s11734-022-00441-9