RESEARCH ON THE FORMULATION OF FINITE DIFFERENCE METHODS FOR NON NEWTONIAN FLUIDS IN POROUS MEDIA

doi:10.3863/j.issn.1000-2634.2000.01.002

西南石油大学学报(自然科学版) ›› 2000, Vol. 22 ›› Issue (1): 5-8.DOI: 10.3863/j.issn.1000-2634.2000.01.002

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RESEARCH ON THE FORMULATION OF FINITE DIFFERENCE METHODS FOR NON NEWTONIAN FLUIDS IN POROUS MEDIA

ZHABG Maolin¹WU Qingsong¹ LI Chuanliang¹et al

University of Science and Technology of China

Received:1999-06-30 Revised:1900-01-01 Online:2000-02-20 Published:2000-02-20
Contact: ZHABG Maolin

Abstract

Abstract: It is very difficult to solve the flow equations of non-Newtonian fluids by using analytic methods. The finite difference method is usually used to solve them numerically in engineering. In order to bringing some errors with the scalar component finite difference method of potential gradients to calculate the flow problem of non-Newtonian fluids in porous media. The paper presents the modular finite difference method of potential gradients. The defect of scalar component finite-difference method of potential gradients is also analyzed theoretically. That is the finite difference equations are not consistent
with the differential equations of non- Newtonian fluids in porous media. Finally, a calculation example of Bingham oil was shown the numerical difference of the two methods.

Key words: non-Newtonian fluid, percolation, numerical simulation, finite difference methods

CLC Number:

TE319
O357

ZHABG Maolin WU Qingsong LI Chuanliang et al. RESEARCH ON THE FORMULATION OF FINITE DIFFERENCE METHODS FOR NON NEWTONIAN FLUIDS IN POROUS MEDIA[J]. 西南石油大学学报(自然科学版), 2000, 22(1): 5-8.

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RESEARCH ON THE FORMULATION OF FINITE DIFFERENCE METHODS FOR NON NEWTONIAN FLUIDS IN POROUS MEDIA

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