Numerical predictions of single- and multiphase fluid flow in a heated saturated porous matrix
A mathematical model for fluid flow and energy transport in a system represented by a porous matrix is presented. The model describes two-dimensional flow of both single-phase and two-phase flow of pure water and the transport of heat energy in a homogeneous saturated porous medium. Representative studies can be obtained in two-dimensional cartesian coordinates and two-dimensional axisymmetric radial coordinate systems. Balance equations for mass, momentum, and energy are presented in relation to multiphase fluid flow in a porous medium with heat addition. These equations are combined with the appropriate constitutive relations to satisfy the given assumptions to form two simplified partial differential equations posed in terms of fluid pressure and enthalpy. The finite difference form of the governing equations and the numerical technique utilized to solve these governing equations are presented. The sum of all these parts was combined to form the PORMED (porous media) computer code. Numerical simulations were performed to study the effects of heat transfer in a porous matrix. The physical domain of the simulations was uniquely similar to that of an experimental apparatus used to study heat transfer effects in a saturated porous medium. The results show that the code is able to operate and predict single-phase fluid flow with heat transfer in a saturated porous matrix with very good accuracy. Results for the multiphase flow portion of the model appear to be area makes it very difficult to compare them. The PORMED code modeled fluid flow in a homogeneous, saturated porous matrix with heat addition and predicted single- and multiphase fluid properties with good accuracy. PORMED numerical simulations were also conducted to verify the model with previously obtained results. These four cases compare PORMED to two problems where exact solutions exist and to two problems with experimental results.
- Research Organization:
- Utah Univ., Salt Lake City, UT (United States)
- OSTI ID:
- 7265640
- Resource Relation:
- Other Information: Thesis (Ph.D.)
- Country of Publication:
- United States
- Language:
- English
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42 ENGINEERING
MULTIPHASE FLOW
COMPUTERIZED SIMULATION
POROUS MATERIALS
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CALCULATION METHODS
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NUMERICAL SOLUTION
SIMULATION
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