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1

Analysis of the transient flow of non Newtonian power law fluids in homogeneous reservoirs with the elastic outer boundary

Zhao Chaochao, Min Chao

Acta Geophysica

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2021

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Vol. 69, no. 5

1865--1875

EN

Since some oil fields have entered the late stage of high water-cut development, the use of polymer flooding and other oil recovery technologies makes the fluid be of non-Newtonian characteristics, but the existing elastic outer boundary percolation model ignores this point. Firstly, this paper establishes a non-Newtonian power-law fluid percolation model with the elastic outer boundary condition. Secondly, the analytical solution of the percolation model is obtained in the Laplace space by the structural method. Thirdly, the double logarithmic characteristic curves are drawn. Finally, the sensitivity analysis of the parameters is carried out. The results show that the wellbore storage coefficient and skin factor play important roles in the early stage of the double logarithmic curves. For the radial flow stage and the later flow stage, the main influence factors are the power-law index, the elastic coefficient and outer boundary radius, respectively. It is concluded that the percolation model established in this paper provides a theoretical basis for reasonably solving the problem that the previous data deviation could not explain the reservoir parameters well. Meanwhile, the application of the structural method can provide a scientific calculation method for the well test analysis of non-Newtonian power-law fluids.

2

Thermal-radiation effects on forced convection heat transfer on a flat plate embedded in porous media for power-law fluids

Mansour M. A., El-Shaer N. A.

International Journal of Applied Mechanics and Engineering

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2004

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Vol. 9, no 4

715-723

EN

An analysis is presented to investigate the combined effect of the thermal radiation and the presence of an isotropic solid matrix on the forced convection heat transfer rate from a flat plate to a power-law non-Newtonian fluid saturated porous medium. The Forchheimer extension is also considered in the flow equations. The rosseland approximation is used to describe the radiative heat flux in the energy equation. Numerical results are presented for the velocity distribution and temperature profiles within the boundary layer. The effects of the flow index, radiation, first and second-order resistance on the velocity, and temperature profiles are discussed. The missing wall values of the velocity and thermal functions are tabulated.

3

MHD effects on a power-law fluid past a vertical plate embedded in a porous medium with variable surface heat flux

El-Amin M. F., Mohammadien A. A.

International Journal of Applied Mechanics and Engineering

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2001

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Vol. 6, no 1

117-131

EN

The present study is devoted to investigating the influences of magnetic field on buoyancy induced flow over vertical flat plate embedded in a non-Newtonian fluid saturated porous medium. The Ostwald-de Waele power-law model is used to characterize the non-Newtonian fluid behavior. A similarity solution for the transformed governing equations is obtained with a prescribed variable surface heat flux. Numerical results for the details of the velocity and temperature profiles are shown on graphs. Excess surface temperature has been presented for different values of the power-law index n, magnetic parameter Mn* and the exponent 'lambda'.