scholarly journals THE COLLAPSE OF A SPHERICAL CAVITY IN A COMPRESSIBLE LIQUID

1963 ◽  
Author(s):  
Milton S. Plesset ◽  
Robert Hickling
1968 ◽  
Vol 35 (3) ◽  
pp. 579-587 ◽  
Author(s):  
W. E. Jahsman

The PLK coordinate perturbation technique [10] is used to obtain a solution to the problem of collapse of gas-filled spherical cavity in an infinite compressible liquid. The gas is assumed to undergo quasi-static adiabatic compression and the liquid equation of state is taken to follow the modified Tate form [11]. The approach was first outlined by Benjamin [9] and in the present paper expressions for cavity wall history and fluid pressure, density, and particle velocity are carried out in complete detail for the first three terms in the expansions. It is found that the solutions for the variables can all be written as products of functions which depend on only one of the perturbed coordinates. For the coordinate corresponding to outward traveling characteristics (first used by Whitham [12]), only two functions are required; they are associated with cavity wall position and with velocity and satisfy second-order ordinary differential equations which are readily solved by digital computer. For the remaining coordinate (perturbed radius) the functions are all polynomials. A numerical example is presented and curves of cavity wall position, pressure, and velocity histories are given for the period associated with collapse and rebound of the cavity. Results are compared with earlier work based on the Gilmore adaptation of the Kirkwood-Bethe formulation [8], and good agreement is found.


Author(s):  
Isaac Maya ◽  
Craig Christy ◽  
Mohamad Dagher ◽  
Thomas Kim ◽  
J. Richard Williams

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Ammar Ali Abd ◽  
Samah Zaki Naji ◽  
Ching Thian Tye ◽  
Mohd Roslee Othman

Abstract Liquefied petroleum gas (LPG) plays a major role in worldwide energy consumption as a clean source of energy with low greenhouse gases emission. LPG transportation is exhibited through networks of pipelines, maritime, and tracks. LPG transmission using pipeline is environmentally friendly owing to the low greenhouse gases emission and low energy requirements. This work is a comprehensive evaluation of transportation petroleum gas in liquid state and compressible liquid state concerning LPG density, temperature and pressure, flow velocity, and pump energy consumption under the impact of different ambient temperatures. Inevitably, the pipeline surface exchanges heat between LPG and surrounding soil owing to the temperature difference and change in elevation. To prevent phase change, it is important to pay attention for several parameters such as ambient temperature, thermal conductivity of pipeline materials, soil type, and change in elevation for safe, reliable, and economic transportation. Transporting LPG at high pressure requests smaller pipeline size and consumes less energy for pumps due to its higher density. Also, LPG transportation under moderate or low pressure is more likely exposed to phase change, thus more thermal insulation and pressure boosting stations required to maintain the phase envelope. The models developed in this work aim to advance the existing knowledge and serve as a guide for efficient design by underling the importance of the mentioned parameters.


2006 ◽  
Vol 18 (3) ◽  
pp. 032108 ◽  
Author(s):  
Alexander A. Korobkin ◽  
Alessandro Iafrati

Sign in / Sign up

Export Citation Format

Share Document