The Dufour and Soret effects on the unsteady twodimensional magnetonyaro dynamics （MHD） doublediffusive free convective flow of an electrically conducting fluid past a vertical plate embedded in a nonDarcy porous me...The Dufour and Soret effects on the unsteady twodimensional magnetonyaro dynamics （MHD） doublediffusive free convective flow of an electrically conducting fluid past a vertical plate embedded in a nonDarcy porous medium are investigated numeri cally. The governing nonlinear dimensionless equations are solved by an implicit finite difference scheme of the CrankNicolson type with a tridiagonal matrix manipulation. The effects of various parameters entering into the problem on the unsteady dimension less velocity, temperature, and concentration profiles are studied in detail. Furthermore, the time variation of the skin friction coefficient, the Nusselt number, and the Sherwood number is presented and analyzed. The results show that the unsteady velocity, tem perature, and concentration profiles are substantially influenced by the Dufour and Soret effects. When the Dufour number increases or the Soret number decreases, both the skin friction and the Sherwood number decrease, while the Nusselt number increases. It is found that, when the magnetic parameter increases, the velocity and the temperature decrease in the boundary layer.展开更多
研究了应力敏感煤层气中双孔隙度/双渗透率渗流问题的压力不稳定响应,不仅考虑了煤层气藏的双孔隙度/双渗透率介质特征,而且考虑了介质的变形,建立了应力敏感煤层气双孔隙度/双渗透率的数学模型,采用全隐式差分和N ew ton迭代法求得了...研究了应力敏感煤层气中双孔隙度/双渗透率渗流问题的压力不稳定响应,不仅考虑了煤层气藏的双孔隙度/双渗透率介质特征,而且考虑了介质的变形,建立了应力敏感煤层气双孔隙度/双渗透率的数学模型,采用全隐式差分和N ew ton迭代法求得了圆柱面井源情况下定产量生产时无限大地层、有界封闭地层的数值解,探讨了双孔隙度/双渗透率参数和变形参数变化时压力的变化规律并给出几种情况下典型压力曲线图版。展开更多
文摘The Dufour and Soret effects on the unsteady twodimensional magnetonyaro dynamics （MHD） doublediffusive free convective flow of an electrically conducting fluid past a vertical plate embedded in a nonDarcy porous medium are investigated numeri cally. The governing nonlinear dimensionless equations are solved by an implicit finite difference scheme of the CrankNicolson type with a tridiagonal matrix manipulation. The effects of various parameters entering into the problem on the unsteady dimension less velocity, temperature, and concentration profiles are studied in detail. Furthermore, the time variation of the skin friction coefficient, the Nusselt number, and the Sherwood number is presented and analyzed. The results show that the unsteady velocity, tem perature, and concentration profiles are substantially influenced by the Dufour and Soret effects. When the Dufour number increases or the Soret number decreases, both the skin friction and the Sherwood number decrease, while the Nusselt number increases. It is found that, when the magnetic parameter increases, the velocity and the temperature decrease in the boundary layer.
文摘研究了应力敏感煤层气中双孔隙度/双渗透率渗流问题的压力不稳定响应,不仅考虑了煤层气藏的双孔隙度/双渗透率介质特征,而且考虑了介质的变形,建立了应力敏感煤层气双孔隙度/双渗透率的数学模型,采用全隐式差分和N ew ton迭代法求得了圆柱面井源情况下定产量生产时无限大地层、有界封闭地层的数值解,探讨了双孔隙度/双渗透率参数和变形参数变化时压力的变化规律并给出几种情况下典型压力曲线图版。
