“Whoa! It’s like Spotify but for academic articles.”

Instant Access to Thousands of Journals for just $40/month

Try 2 weeks free now

Pressure wave speeds from the characteristics of two fluids, two-phase hyperbolic equation system

1 <h5>Introduction</h5> Considerable effort has been made in the past, without much success, to determine the pressure wave propagation speed for two fluids, two-phase flow. Delhaye et al. (1981) and Ishii (1975) have showed systematic derivation of the governing equations for two-phase flows. However, this governing equation system has complex characteristics, making the two-phase flow formulation mathematically ill-posed, see Ramshaw and Trapp (1978) ; Stewart (1979) . Various modifications of the governing equations has therefore been followed to render the characteristic roots real. The single-pressure models in the classical two fluids, two-phase formulation assume that the pressure is continuous across the interface boundary. Unfortunately, these models lead to the afore-mentioned complex eigenvalues for the practical problems under review. In contrast, the two-pressure models assume that the gas and the liquid pressures are not necessarily continuous across the interface. These models have, as a matter of fact, produced real eigenvalues, see Ramsom and Hicks (1984) ; Holm and Kupershmidt (1986) ; Ramshaw and Trapp (1978) . However, most of the two-pressure models are either deficient of the constraint binding the two phasic pressures, producing nonphysical behavior in the solution, or based on the pressure constraints true only for a http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Multiphase Flow Elsevier
Loading next page...

You’re reading a free preview. Subscribe to read the entire article.

DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy unlimited access and
personalized recommendations from
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $40/month

Try 2 weeks free now

Explore the DeepDyve Library

How DeepDyve Works

Spend time researching, not time worrying you’re buying articles that might not be useful.

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from Springer, Elsevier, Nature, IEEE, Wiley-Blackwell and more.

All the latest content is available, no embargo periods.

See the journals in your area

Simple and Affordable Pricing

14-day free trial. Cancel anytime, with a 30-day money-back guarantee.

Monthly Plan

  • Read unlimited articles
  • Personalized recommendations
  • Print 20 pages per month
  • 20% off on PDF purchases
  • Organize your research
  • Get updates on your journals and topic searches


Best Deal — 25% off

Annual Plan

  • All the features of the Professional Plan, but for 25% off!
  • For the normal price of 10 articles elsewhere, you get one full year of unlimited access to articles.

billed annually