Influence of variable viscosity and double diffusion on the convective stability of a nanofluid flow in an inclined porous channel

The influence of variable viscosity and double diffusion on the convective stability of a nanofluid flow in an inclined porous channel is investigated.The DarcyBrinkman model is used to characterize the fluid flow dynamics in porous materials.The analytical solutions are obtained for the unidirectional and completely developed flow.Based on a normal mode analysis,the generalized eigenvalue problem under a perturbed state is solved.The eigenvalue problem is then solved by the spectral method.Finally,the critical Rayleigh number with the corresponding wavenumber is evaluated at the assigned values of the other flow-governing parameters.The results show that increasing the Darcy number,the Lewis number,the Dufour parameter,or the Soret parameter increases the stability of the system,whereas increasing the inclination angle of the channel destabilizes the flow.Besides,the flow is the most unstable when the channel is vertically oriented.

Simulation of Variable Viscosity and Jeffrey Fluid Model for Blood Flow Through a Tapered Artery with a Stenosis

Non-Newtonian fluid model for blood flow through a tapered artery with a stenosis and variable viscosity by modeling blood as Jeffrey fluid has been studied in this paper. The Jeffrey fluid has two parameters, the relaxation time A1 and retardation time A2. The governing equations are simplified using the case of mild stenosis. Perturbation method is used to solve the resulting equations. The effects of non-Newtonian nature of blood on velocity profile, temperature profile, wall shear stress, shearing stress at the stenotsis throat and impedance of the artery are discussed. The results for Newtonian fluid are obtained as special case from this model.

Effect of Variable Viscosity, Dufour, Soret and Thermal Conductivity on Free Convective Heat and Mass Transfer of Non-Darcian Flow past Porous Flat Surface

The motion of incompressible fluid of a variable fluid viscosity and variable thermal conductivity with thermal radiation, Dufour, Soret with heat and mass transfer over a linearly moving porous vertical semi-infinite plate with suction is investigated. The governing equations are transformed into a system of coupled nonlinear ordinary differential equations using similarity transformations with dimensionless variables and solved numerically using shooting method with Runge-Kutta fourth-order method and Newton-Raphson’s interpolation scheme implemented in MATLAB. The result showed that with increase in Dufour and Soret parameter, fluid velocity increases and temperature increases with increase in variation of Dufour while, temperature decreases with increase in Soret. The effects of variable fluid viscosity, variable thermal conductivity, thermal radiation, Soret, Dufour, Prandtl and Schmidt parameters on the dimensionless velocity, temperature and concentration profiles are shown graphically.

Effects of variable viscosity and temperature modulation on linear Rayleigh-Bénard convection in Newtonian dielectric liquid

The linear Rayleigh-Bénard electro-convective stability of the Newtonian dielectric liquid is determined theoretically subject to the temperature modulation with time.A perturbation method is used to compute the critical Rayleigh number and the wave number.The critical Rayleigh number is calculated as a function of the frequency of modulation,the temperature-dependent variable viscosity,the electric field dependent variable viscosity,the Prandtl number,and the electric Rayleigh number.The effects of all three cases of modulations are established to delay or advance the onset of the convection process.In addition,how the effect of variable viscosity controls the onset of convection is studied.

BASIC EQUATIONS OF TURBULENT FLOW FOR VARIABLE DENSITY AND VARIABLE VISCOSITY NEWTONIAN FLUID IN OPEN CHANNEL

In this paper, using Navier-Stokes equations and Reynolds time-averaged rules, the turbulent motional differential equations of variable density and variable viscosity Newtonian fluid have been presented, and the turbulent motional differential equations of variable density and variable viscosity Newtonian fluid in open channel have been further proposed. The concepts of the density turbulence stress and the viscosity turbulence stress have been firstly presented in the paper.

Nonlinear free thermal convection in a spherical shell:A variable viscosity model

In mantle convection models, the mantle viscosity is generally assumed constant or dependent on depth. In this paper, a laterally variable viscosity is introduced into mantle convection model in which the mantle viscosity consists of a constant background and latitude-dependent viscosity with small fluctuations. The features of toroidal field dependent on depth and Rayleigh number are discussed under two boundary conditions, i.e., the top rigid and bottom stress-free boundaries (R-F boundary for short) and both rigid ones (R-R boundary for short), respectively. The results show that the energy of toroidal field mainly concentrates in the middle and upper parts of a spherical shell, and the ratio of toroidal to total velocities amounts to only a few percents and hardly depends on Rayleigh number, while the convection patterns of toroidal field have been strongly affected by Rayleigh number. It is found that the convection patterns and velocities of toroidal field have obvious differences in latitudinal direction, which clearly reflects the effects of lateral mantle viscosity variations on the convection patterns. These preliminary results give us a possible hint to study some global tectonic phenomena, e.g. the asymmetry of the southern and northern hemispheres and the Earth's differential rotation.

Analytical Treatment of an Oldroyd 8-constant Fluid Between Coaxial Cylinders with Variable Viscosity

The flow of an Oldroyd 8-constant fluid between coaxial cylinders with variable viscosity is considered.The heat transfer analysis is also taken into account.An analytical solution of the non-linear problem is obtained usinghomotopy analysis method.The behavior of pertinent parameters is analyzed and depicted through graphs.

Effects of Variable Viscosity on Hydromagnetic Boundary Layer along a Continuously Moving Vertical Plate in the Presence of Radiation and Chemical Reaction

The flow and heat transfer of an incompressible viscous electrically conducting fluid over a continuously moving vertical infinite plate with uniform suction and heat flux in porous medium, taking account of the effects of the variable viscosity, has been considered. The solutions are obtained for velocity, temperature, concentration and skin friction. It is found that the velocity increases as the viscosity of air or porous parameter increases whereas velocity decreases when Schmidt number increases. The skin friction coefficient is computed and discussed for various values of the parameters.

Totally Anisotropic Cosmological Models with Bulk Viscosity for Variable G and Λ

Einstein's field equations with variable gravitational and cosmological constants are considered in the presence of bulk viscous fluid for the totally anisotropic Bianchi type II space-time in such a way as to preserve the energy momentum tensor. We have presented solutions of field equations which represent expanding, shearing and non-rotating cosmological models of the universe. The physical behaviours of the models are discussed .We observe that the results obtained match with recent observations of SNIa.

Numerical investigation of variable viscosities and thermal stratification effects on MHD mixed convective heat and mass transfer past a porous wedge in the presence of a chemical reaction

An analysis is presented to investigate the effects of variable viscosities and thermal stratification on the MHD mixed convective heat and mass transfer of a viscous, incompressible, and electrically conducting fluid past a porous wedge in the presence of a chemical reaction. The wall of the wedge is embedded in a uniform nonDarcian porous medium in order to allow for possible fluid wall suction or injection. The governing boundary layer equations are written into a dimensionless form by similarity transformations. The transformed coupled nonlinear ordinary differential equations are solved numerically with finite difference methods. Numerical calculations up to the thirdorder level of truncation are carried out for different values of dimensionless parameters. The results are presented graphically, and show that the flow field and other quantities of physical interest are significantly influenced by these parameters. The results are compared with those available in literature, and show excellent agreement.

Effect of Exponentially Temperature-Dependent Viscosity on the Onset of Penetrative Ferro-Thermal-Convection in a Saturated Porous Layer via Internal Heating

The effect of viscosity depending exponentially on temperature on the onset of penetrative ferro-thermal-convection (FTC) in a saturated horizontal porous layer in the presence of vertical magnetic field is investigated. The bounding surface of the ferrofluid layer is considered to be rigid-rigid and insulated to temperature perturbations. The resulting eigenvalue problem is solved numerically using the Galerkin technique and also analytically by a regular perturbation technique with wave number as a perturbation parameter. The analytical and numerical results are found to be concurrence. The characteristics of stability of the system are strongly dependent on the viscosity parameter B. The effect of B on the onset of ferroconvection in a porous layer is dual in nature depending on the choices of physical parameters and a sublayer starts to form at higher values of B. Whereas, increase in magnetic number M1 and the Darcy number Da is to advance the onset of ferroconvection in a porous layer. The nonlinearity of fluid magnetization M3?is found to have no influence on the onset of ferroconvection.

Study on Periodic MHD Flow with Temperature Dependent Viscosity and Thermal Conductivity past an Isothermal Oscillating Cylinder

Temperature dependent viscosity and thermal conducting heat and mass transfer flow with chemical reaction and periodic magnetic field past an isothermal oscillating cylinder have been considered. The partial dimensionless equations governing the flow have been solved numerically by applying explicit finite difference method with the help Compaq visual 6.6a. The obtained outcome of this inquisition has been discussed for different values of well-known flow parameters with different time steps and oscillation angle. The effect of chemical reaction and periodic MHD parameters on the velocity field, temperature field and concentration field, skin-friction, Nusselt number and Sherwood number have been studied and results are presented by graphically. The novelty of the present problem is to study the streamlines by taking into account periodic magnetic field.

生物柴油基减阻剂研制及滑溜水压裂液体系构建

为了解决常规白油基滑溜水体系在运输过程中容易分层以及减阻剂溶解太慢、对环境污染大等问题,首先通过测试不同相对分子质量及水解度的减阻剂F1~F6的溶解性和增黏性能优选了减阻剂F4;通过对稠化剂、分散剂及固液比筛选,研制了配方为34.0%生物柴油+3.0%稠化剂F-120+3.0%分散剂S-85+60.0%减阻剂F4的生物柴油基悬浮减阻剂,并将生物柴油基悬浮减阻剂与助排剂、防膨剂构建变黏滑溜水压裂液体系。实验结果表明,减阻剂F4在180℃下恒温剪切2 h后的表观黏度保留率为33.0%,热稳定性较好;变黏滑溜水压裂液具有良好的抗剪切能力和抗温性能,在剪切速率为170 s^(-1)下长期剪切后,常温下黏度保留率均可达90%以上,90℃下黏度保留率均达50%以上,其中高黏滑溜水压裂液黏度保留率可高达70%以上,低黏滑溜水压裂液的减阻率可达70%以上;高黏滑溜水压裂液的携砂性能比低、中黏滑溜水压裂液的高,且沉降速率最低,为0.005272 m/min。变黏滑溜水压裂液破胶后表面张力均小于27 m N/m,与煤油间的界面张力均小于2.0 mN/m,破胶液黏度均小于5.0mPa·s,且残渣含量均小于50 mg/L,满足标准要求。

鄂尔多斯盆地东缘深煤层用一体化变黏压裂液研究及应用

结合深煤层大规模压裂开发工艺要求,研发了一套一体化变黏压裂液体系,该压裂液体系由乳液稠化剂、多功能添加剂等组成,可通过调整乳液稠化剂的浓度实时调整为低黏-中黏-高黏滑溜水体系。实验测试表明,该压裂液体系在速溶、增黏、降阻、耐剪切性等方面表现优异:速溶时间20~30 s;在剪切速率为1 s^(-1)→1000 s^(-1)→1 s^(-1)下表观黏度基本不变;流动剪切下降阻率>70%且变化不大。此外,该体系具有较低的表面张力和较好的防膨性能,表现为对煤岩具有较小的岩心伤害率。配合体积改造压裂工艺,在在鄂尔多斯盆地深煤层压裂开发中得到规模化应用,增产效果良好。

可变粘压裂液研究及在深煤层中应用

针对深煤层压裂开发需要,研发一套可变粘压裂液体系,通过粘度、降阻率、表面张力、界面张力等指标优选构建了低粘-中粘-高粘滑溜水体系,并对体系滤失性能、破胶性能和岩心伤害性能进行了评价。实验结果表明:随着体系粘度增加,降阻率先增加后降低;高粘度有助于降低滤失。通过调节破胶剂用量实现破胶可控,对煤岩具有较小的岩心伤害率。配合体积改造压裂工艺,可有效助力深煤层开发。优选的可变粘压裂液具有较好的推广和应用前景。

致密油整体缝网压裂技术在杏树岗油田杏69-1井区扶余油层的应用实践

针对大庆致密油储层地质条件逐年变差,以及采用常规压裂改造工艺达不到预期增产效果的问题,创新采用整体缝网压裂工艺,主要从地质选层、缝储匹配、液性组合、有效改造4个方面进行方案优化。依托杏树岗油田杏69-1井区扶余油层“井缝控藏”理念,纵向上通过甜点优选压裂层段,平均单井压裂层数由4层减少至3层。横向上考虑砂体连通关系,以缝控储量最大为目标,优化施工规模,平均单井液体规模降低16%,支撑剂规模降低31.4%,单井成本降低4.7%。同时采用变黏压裂液、控缝高工艺,积极推行全链条挖潜增效,实现该井区扶余油层整体缝网压裂效益开发。现场应用表明,整体缝网压裂技术提高了缝控储量规模,实现了储层改造最大化、缝控储量最大化。实际平均单井日产油5.7t/d,比设计值提高103%;实际建设产能1.62×10^(4)t,超额完成22.7%。

深部煤层气水平井大规模极限体积压裂技术--以鄂尔多斯盆地东缘临兴区块为例

针对深煤层渗透性差、弹性模量较低、泊松比较高、塑性强、破裂压力高、裂缝扩展难度大、加砂困难等特点,提出缝网改造规模化、缝网扩展均衡化、缝网支撑有效化的压裂设计理念,形成以高排量大规模注入、高强度加砂、等孔径限流射孔、暂堵转向、一体化可变黏滑溜水、多粒径组合支撑剂为核心的深煤层水平井大规模极限体积压裂技术。将该技术应用于鄂尔多斯盆地东缘临兴区块首口深煤层多级压裂水平井先导性试验,施工排量18 m^(3)/min、加砂强度2.1 m^(3)/m、用液强度16.5 m^(3)/m,压裂后形成了复杂裂缝网络,平均缝长为205 m,储层改造体积为1987×10^(4)m^(3),最高产气量达6×10^(4)m^(3)/d,实现了深部煤层气的高效开发。

Extreme massive hydraulic fracturing in deep coalbed methane horizontal wells:A case study of the Linxing Block,eastern Ordos Basin,NW China

Deep coal seams show low permeability,low elastic modulus,high Poisson’s ratio,strong plasticity,high fracture initiation pressure,difficulty in fracture extension,and difficulty in proppants addition.We proposed the concept of large-scale stimulation by fracture network,balanced propagation and effective support of fracture network in fracturing design and developed the extreme massive hydraulic fracturing technique for deep coalbed methane(CBM)horizontal wells.This technique involves massive injection with high pumping rate+high-intensity proppant injection+perforation with equal apertures and limited flow+temporary plugging and diverting fractures+slick water with integrated variable viscosity+graded proppants with multiple sizes.The technique was applied in the pioneering test of a multi-stage fracturing horizontal well in deep CBM of Linxing Block,eastern margin of the Ordos Basin.The injection flow rate is 18 m^(3)/min,proppant intensity is 2.1 m^(3)/m,and fracturing fluid intensity is 16.5 m^(3)/m.After fracturing,a complex fracture network was formed,with an average fracture length of 205 m.The stimulated reservoir volume was 1987×10^(4)m^(3),and the peak gas production rate reached 6.0×10^(4)m^(3)/d,which achieved efficient development of deep CBM.

深层页岩天然裂缝群发育下缝网压裂优化方法——以川南地区LH-7井为例

川南地区深层页岩气区块天然裂缝发育情况变化较大,压裂期间容易发生滤失严重、井间压窜等现象,对页岩气井缝网压裂效果存在显著影响。开展深层页岩地层天然裂缝群影响下的压裂缝网扩展模拟,并根据天然裂缝群特征针对性地进行缝网压裂参数优化,减少天然裂缝群造成的不利影响,有助于改善压裂效果,降低施工风险,提高气井最终采收率。文中构建了深层页岩天然裂缝群发育下的压裂缝网扩展模型,以川南地区LH-7井为例,绘制了天然裂缝群发育井段压裂优化设计系列图版,提出了裂缝发育井段压裂参数优化设计流程。该井采用压裂液变黏变排量缝网压裂设计,压裂液总量增多0.75%,缝网体积扩大14%,缝网建造效率提高13%,优化效果显著。

稠油非牛顿渗流规律及挖潜策略研究

稠油因其高黏度特性,导致水驱过程中在多孔介质中流动表现为非牛顿流体渗流规律。为理清稠油启动压力梯度和黏度变化及对渗流特征和水驱规律的影响,利用原油地层黏度24~452 mPa·s、平均150 mPa·s的S油田稠油流变性实验数据,确定了稠油启动压力梯度与油相流度的关系和稠油黏度与驱替压力梯度关系,并建立了考虑非牛顿渗流规律的渗流数学模型,对S油田进行数值模拟研究。结果表明:当考虑启动压力梯度和变黏度的非牛顿渗流规律,水驱波及面积缩小,非活塞现象加剧;水平井的驱替压力梯度大,能够有效克服启动压力并且降低原油黏度,波及范围明显大于定向井波及范围。在数值模拟研究结果的基础上建立了考虑稠油非牛顿渗流特征、不同黏度下的定向井、水平井动用范围图版。以此为指导优化了侧钻井,产量由25 m^(3)/d增加到70 m^(3)/d,含水率由88%降低到4%,效果良好。研究成果对稠油油田调整挖潜工作具有较好指导意义。