A model for peak formation in the two-phase equations
نویسندگان
چکیده
We present a hyperbolic-elliptic model problem related to the equations of two-phase fluid flow. The model problem is solved numerically, and properties of its solution are presented. The model equation is wellposed when linearized around a constant state, but there is a strong focusing effect, and very large solutions exists at certain times. We prove that the model problem has a smooth solution for bounded times.
منابع مشابه
Investigation of influential factors on well temperature for gas-liquid two-phase flow in under-balanced drilling operation
Analysis of the drilling fluid temperature due to heat transfer of drilling fluid with the formation in under-balanced drilling operation is the main objective of this study. Gas-liquid two-phase flow model considering thermal interaction with the formation is used to numerically simulate a well with real dimensions. In the present study, the continuity, momentum, and energy equations are devel...
متن کاملSimulation of Boiling in a Vertical Channel Using Ensemble Average Model
Simulation of turbulence boiling, generation of vapour and predication of its behaviour are still subject to debate in the two-phase flow area and they receive a high level of worldwide attention. In this study, a new arrangement of the three dimensional governing equations for turbulence two-phase flow with heat and mass transfer are derived by using ensemble averaging two-fluid model and ...
متن کاملClosed-Form Analytical Equations to Transient Analysis of Bang-Bang Phase-Locked Loops
Due to the nonlinear nature of the Bang-Bang phase-locked loops (BBPLLs), its transient analysis is very difficult. In this paper, new equations are proposed for expression of transient behavior of the second order BBPLLs to phase step input. This approach gives new insights into the transient behavior of BBPLLs. Approximating transient response to reasonable specific waveform the loop tran...
متن کاملComparison of Thermal Dispersion Effects for Single and two Phase Analysis of Heat Transfer in Porous Media
The present work involves numerical simulation of a steady, incompressible forcedconvection fluid flow through a matrix of porous media between two parallel plates at constanttemperature. A Darcy model for the momentum equation was employed. The mathematical model forenergy transport was based on single phase equation model which assumes local thermal equilibriumbetween fluid and solid phases. ...
متن کاملThermal simulation of two-phase flow in under-balanced drilling operation with oil and gas production
The accurate prediction of wellbore temperature distribution helps to accurately estimate well pressure profile and bottom-hole pressure (BHP) which is important in the under-balanced drilling (UBD) operation. In this paper effect of temperature variation due to heat transfer of drilling fluid with the formation and also oil and gas production from the reservoir into the annulus in under-balanc...
متن کاملStudies on Soot Formation and Combustion in Turbulent Spray Flames: Modeling and Experimental Measurement
The present study is concerned with measuring and simulating soot formation and combustion in turbulent liquid fuel spray flames. Soot concentrations inside the combustor are measured by filter paper technique. The simulation is based on the solution of the fully-coupled conservation equations for turbulent flow, chemical species kinetic modeling, fuel droplet evaporation and combustion and...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Math. Comput.
دوره 76 شماره
صفحات -
تاریخ انتشار 2007