Mathematical Model and Experiment Validation of Fluid Torque by Shear Stress under Influence of Fluid Temperature in Hydro-viscous Clutch

The current design of hydro-viscous clutch（HVC） in tracked vehicle fan transmission mainly focuses on high-speed and high power. However, the fluid torque under the influence of fluid temperature can not be predicted accurately by conventional mathematical model or experimental research. In order to validate the fluid torque of HVC by taking the viscosity-temperature characteristic of fluid into account, the test rig is designed. The outlet oil temperature is measured and fitted with different rotation speed, oil film thickness, oil flow rate, and inlet oil temperature. Meanwhile, the film torque can be obtained. Based on Navier-Stokes equations and the continuity equation, the mathematical model of fluid torque is proposed in cylindrical coordinate. Iterative method is employed to solve the equations. The radial and tangential speed distribution, radial pressure distribution and theoretical flow rate are determined and analyzed. The models of equivalent radius and fluid torque of friction pairs are introduced. The experimental and theoretical results indicate that tangential speed distribution is mainly determined by the relative rotating speed between the friction plate and the separator disc. However, the radial speed distribution and pressure distribution are dominated by pressure difference at the lower rotating speed. The oil film fills the clearance and the film torque increases with increasing rotating speed. However, when the speed reaches a certain value, the centrifugal force will play an important role on the fluid distribution. The pressure is negative at the outer radius when inlet flow rate is less than theoretical flow, so the film starts to shrink which decreases the film torque sharply. The theoretical fluid torque has good agreement with the experimental data. This research proposes a new fluid torque mathematical model which may predict the film torque under the influence of temperature more accurately.

Possible effect of fluid shear stress on osteoclastogenesis

Bone remodeling is performed under the joint action of osteoblasts and osteoclasts. Since the effect of osteoclasts has been gradually recognized on bone and joint diseases, targeted researches toward osteoclasts have become a hot research field. This article reviews the relevant medical literature concerning the possible effects of the fluid shear stress (FSS) on the osteoclastogenesis chiefly from the aspects of RANKL-RANK-OPG system, the macrophage colony-stimulating factor (M-CSF), and calcitonin receptor (CTR). On the basis of the changes of the expression of osteoclastic activities, it is suggested that FSS is a potent, important regulator of bone metabolism.

Influence of Hartmann Number on Convective Flow of Maxwell Fluid between Two Hot Parallel Plates through Porous Medium Subject to Arbitrary Shear Stress at the Boundary

Natural convection flow of unsteady Maxwell fluid with the effects of constant magnetic force in the course of a porous media is investigated in this research work. Fluid motion between a channel of parallel plates is tempted by time dependent shear stress applied on one plate. The governing partial differential equations of a model under consideration are transformed into ordinary differential equations by Laplace transform method and then solved for temperature and velocity fields. The obtained results for temperature fields are expressed in terms of complementary error function. The influences of involved parameters likes Hartmann number, Grashf number, Prandlt number and porosity parameter, on temperature and velocity profiles are shown graphically. There is no such result regarding Maxwell fluid in the existing literature.

Fluid Shear Stress-Induced IL-8/CXCR Signaling Promotes Epithelial Mesenchymal Transition of Ovarian Cancer Cells

Objective Epithelial mesenchymal transition(EMT)plays a very important role in ovarian cancer metastasis,and IL-8 released from mechanosensitive cancer cells may contribute to the EMT process of solid carcinomas.In this study,we have explored IL-8 and its receptors signal transduction process of human ovarian cancer cells under conditions of FSS,and simultaneously detected the EMT process of ovarian cancer.Methods After the fluid shear stress was loaded,LightCyclerTM system and ELISA were employed to assay the IL-8 mRNA expression and protein production,respectively.Meanwhile,IL-8 reporter gene pEGFP1-IL8USCS was constructed for determining IL-8 gene transcriptional activation through gene transfer and flow cytometric analysis.RT-PCR,Northern blot and immunofluorescence were used to determine the expression of IL-8 receptor CXCR2 at mRNA and protein levels.IL-8 downstream signaling molecule NF-κB nuclear translocation was observed by immunocytofluoresent staining.Western blot was used to examine IκB phosphorylation and EMT-related protein.Results(1)The increase of IL-8 mRNA expression by shear stress was time-dependent.The expression increased when SKOV3 cells exposed to fluid shear stress for 1 h,reached the summits at 2 h,gradually decreased at 3 h and remained at a constant level at 4~12 h.Additionally,IL-8 expression was negatively associated with the intensity of shear stress.After SKOV3 cells were exposed to low fluid shear stress(1.5 dyne/cm2)for 1 h and 2 h,IL-8 mRNA expression increased near 68 and 52 times respectively as that of SKOV3 cells exposed to a high fluid shear stress of 5.0 dyne/cm^2.(2)The productions of IL-8 protein in SKOV3 cells subjected to shear stress were time-dependent.The secretion reached the summit when SKOV3 cells exposed to fluid shear stress for 5 h,then IL-8 secretion gradually decreased at 8 h of stimulation by shear stress.IL-8 secretion increased obviously when fluid shear stress(0.5,1.5,or 2.0 dyne/cm2)was exerted on SKOV3 cells for 1 h.Notablely,the secretion of IL-8 was the highest when SKOV3 cells subjected to fluid shear stress 1.5dyne/cm^2,which was near 6 or 7 times as that of SKOV3 cells subjected to high fluid shear stress(5.0 dyne/cm^2).(3)There was an increase in enhanced green fluorescent protein expression in pEGFPI-IL8USCS-transfected SKOV3 cells subjected to a fluid shear stress of 1.5 dyne/cm2 for 2 h,suggesting a flow shear stress induced IL-8 gene transcriptional activation;(4)CXCR2,which was constitutively present on the surface of SKOV3 cells,increased following exposure to fluid shear stress for 60 min.(5)Following the application of a shear stress of 1.5 dyne/cm^2,NF-κB p65 became detectable in the cell nuclei and Phosphorylated IκB in cell lysates increased significantly;(6)Compared with the control group,critical EMT-related proteins vimentin was upregulated,E-cadherin was downregulated after the application of the 1.5 dyne/cm2shear stress for 2 h,which suggested the EMT of ovarian cancer.Conclusions FSS triggered IL-8/CXCR2 signaling of SK-OV3 cells represents an early gene activation and the activation can be mediated through NF-κB.When the fluid shear stress-induced IL-8/CXCR signaling activated,the expression of EMT-related proteins changed.This observation suggested that fluid shear stress-induced IL-8 activation and the downstream signal pathways may have important contribution to the EMT process of ovarian cancer cells.

Shear Stress in MR Fluid with Small Shear Deformation in Bctlattic Structure

A theoretical model based on BCT lattice structure was developed. Resultant force in the BCT lattice structure was deduced, following the interaction force of two kinds of magnetic particles. According to empirical FroHlich-Kermelly law, the relationship between the magnetic induction and the magnetic field was discussed, and a predictive formula of shear stresses of the BCT lattice structure model was established for the case of small shear deformation. Compared with the experimental data for different particle volume fractions, the theoretical results of the shear stress indicate the effects of the saturation magnetization and the external magnetic field on the shear stress.

A New Modified Conductivity Model for Prediction of Shear Yield Stress of Electrorheological Fluids Based on Face-center Square Structure

A new modified conductivity model was established to predict the shear yield stress of electrorheological fluids (ERF). By using a cell equivalent method, the present model can deal with the face-center square structure of ERF. Combining the scheme of the classical conductivity model for the single-chain structure, a new formula for the prediction of the shear yield stress of ERF was set up. The influences of the separation distance of the particles, the volume fraction of the particles and the applied electric field on the shear yield stress were investigated.

A New Theoretical Model about Shear Stress in Magnetorheological Fluids with Small Shear Deformation

Based on the single-chain structure model of magnetorheological fluids, a formu la for the calculation of shear stresses was established. The interaction force of two magnetic particles in an infinite single-chain was deduced using a new theoretical model which is founded on Ampere' molecular curr ent hypothesis, dipole theory and Ampere' law. Furthermore, the resultant force on a particle was then deduced by taking into account of the action caused by al l the other particles in the single-chain. A predictive formula for shear stres ses was made corresponding to the case that MR fluids were sheared by a small an gle and the calculating results fit well on the order with the yield stresses of the commercial MR fluids.

The roles of focal adhesion and cytoskeleton systems in fluid shearstress-induced endothelial cell response

Focal adhesions are polyproteins linked to extracellular matrix and cytoskeleton,which play an important role in the process of transforming force signals into intracellular chemical signals and subsequently triggering related physiological or pathological reactions.The cytoskeleton is a network of protein fibers in the cytoplasm,which is composed of microfilaments,microtubules,intermediate filaments,and cross-linked proteins.It is a very important structure for cells to maintain their basic morphology.This review summarizes the process of fluid shear stress transduction mediated by focal adhesion and the key role of the cytoskeleton in this process,which focuses on the focal adhesion and cytoskeleton systems.The important proteins involved in signal transduction in focal adhesion are introduced emphatically.The relationship between focal adhesion and mechanical transduction pathways are discussed.In this review,we discuss the relationship between fluid shear stress and associated diseases such as atherosclerosis,as well as its role in clinical research and drug development.

Heat Transfer of Casson Fluid over a Vertical Plate with Arbitrary Shear Stress and Exponential Heating

The basic objective of this work is to study the heat transfer of Casson fluid of non-Newtonian nature.The fluid is considered over a vertical plate such that the plate exhibits arbitrary wall shear stress at the boundary.Heat transfers due to exponential plate heating and natural convection are due to buoyancy force.Magnetohydrodynamic(MHD)analysis in the occurrence of a uniform magnetic field is also considered.The medium over the plate is porous and hence Darcy’s law is applied.The governing equations are established for the velocity and temperature fields by the usual Boussinesq approximation.The problem is first written in dimensionless form using some useful non-dimensional quantities and then solved.The exact analysis is performed and hence solutions via integral transform are established.The analysis of various pertinent parameters on temperature distribution and velocity field are reported graphically.It is found that pours medium permeability parameter retards the fluid motion whereas,velocity decreases with increasing magnetic parameter.Velocity and temperature decrease with increasing Prandtl number whereas the Grashof number enhances the fluid motion.Further,it is concluded from this study that the results obtained here are more general and in a limiting sense several other solutions can be recovered.The Newtonian fluid results can be easily established by taking the Casson parameter infinitely large i.e.,whenβ→∞.

STEADY-SHEAR VISCOSITY AND TRANSIENT STRESS RESPONSE FOR ELASTO-THIXOTROPIC FLUIDS

A phenomenological model for dispersed systems which exhibit complex theological behaviour such as shear and time-dependent viscosity, yield stress, and elasticity is proposed. The model extends the Quemeda model to describe the viscosity function with a structural parameter λ which varies according to differ- ent kinetic orders of particle aggregation and segregation. The transient stress response is obtained by solving an instantaneous Maxwell model with an assumed shear modulus function G of the same form as the viscosity function η. Accuracy of the proposed model is verified experimentally with the results obtained for two oil (creosote)/water emulsions. The model that gives the best fit of experimental data appears to be the one with kinetic orders n = m = 2.

Wall shear stress in intracranial aneurysms and adjacent arteries

Hemodynamic parameters play an important role in aneurysm formation and growth. However, it is difficult to directly observe a rapidly growing de novo aneurysm in a patient. To investigate possible associations between hemodynamic parameters and the formation and growth of intracranial aneurysms, the present study constructed a computational model of a case with an internal carotid artery aneurysm and an anterior communicating artery aneurysm, based on the CT angiography findings of a patient. To simulate the formation of the anterior communicating artery aneurysm and the growth of the internal carotid artery aneurysm, we then constructed a model that virtually removed the anterior communicating artery aneurysm, and a further two models that also progressively decreased the size of the internal carotid artery aneurysm. Computational simulations of the fluid dynamics of the four models were performed under pulsatile flow conditions, and wall shear stress was compared among the different models. In the three aneurysm growth models, increasing size of the aneurysm was associated with an increased area of low wall shear stress, a significant decrease in wall shear stress at the dome of the aneurysm, and a significant change in the wall shear stress of the parent artery. The wall shear stress of the anterior communicating artery remained low, and was significantly lower than the wall shear stress at the bifurcation of the internal carotid artery or the bifurcation of the middle cerebral artery. After formation of the anterior communicating artery aneurysm, the wall shear stress at the dome of the internal carotid artery aneurysm increased significantly, and the wall shear stress in the upstream arteries also changed significantly. These findings indicate that low wall shear stress may be associated with the initiation and growth of aneurysms, and that aneurysm formation and growth may influence hemodynamic parameters in the local and adjacent arteries.

The Effects of Post-Stenotic Dilatations on the Flow of Couple Stress Fluid through Stenosed Arteries

The flow of incompressible couple stress fluid in a circular tube with stenosis and dilatations has been investigated. The stenosis was assumed to be axially symmetric and mild. The flow equations have been linearized and the expressions for the resistance to the flow, velocity, pressure drop, wall shear stress have been derived. The effects of various parameters on these flow variables have been investigated. It is found that the resistance to the flow and pressure drop increase with height of the stenosis and decrease with post stenotic dilatation. Pressure drop decreases with couple stress fluid parameter for both stenosis and post stenotic dilatation. Further, the wall shear stress increases with height of the stenosis and couple stress parameter but decreases with post stenotic dilatation and couple stress fluid parameter.

Caveolin-1介导流体剪切应力调控MC3T3-E1成骨细胞增殖和凋亡

背景:流体剪切应力在成骨细胞增殖和凋亡中起着重要作用。然而,Caveolin-1(Cav-1)是否参与成骨细胞中流体剪切应力诱导的增殖与凋亡过程尚不清楚。目的:探讨Cav-1在流体剪切应力调控成骨细胞增殖和凋亡中的作用。方法:选择生长状态良好的MC3T3-E1成骨细胞,加载不同时间(0,30,60,90 min)且强度为1.2 Pa的流体剪切应力,观察Cav-1蛋白的表达,筛选出时间为60 min的条件进行实验。将MC3T3-E1细胞分为:对照组、流体剪切应力组、流体剪切应力+pcDNA 3.1组(对照)、流体剪切应力+pcDNA Cav-1组(过表达质粒),分别采用流体剪切应力和过表达Cav-1等方式干预,通过q RT-PCR和Western blot检测MC3T3-E1细胞内增殖以及凋亡相关分子的表达量;通过CCK-8与Ed U实验检测MC3T3-E1细胞增殖活性;采用Hoechst 33258染色以及流式细胞术检测MC3T3-E1细胞凋亡情况。结果与结论:加载流体剪切应力后MC3T3-E1细胞中Cav-1的表达显著下调,且加载60 min表达水平最低。过表达Cav-1减弱了流体剪切应力促进MC3T3-E1细胞增殖及抑制细胞凋亡的效应。说明Cav-1在流体剪切应力调节成骨细胞增殖和凋亡过程中具有重要的作用,并可能为骨质疏松症提供潜在治疗策略。

基于计算流体动力学技术评估动脉瘤性蛛网膜下腔出血后迟发性脑缺血风险

目的基于计算流体动力学(computational fluid dynamics,CFD)技术,探究动脉瘤性蛛网膜下腔出血(anauryrmal subarachnoid hemorrhage,aSAH)后颅内血流动力学早期变化与迟发性脑缺血(delayed cerebral ischemia,DCI)发生的潜在关系。方法本研究前瞻性收集经CTA(CT Angiography)诊断并经DSA(Digital Subtracted Angiography)或手术证实为颅内动脉瘤破裂的患者。收集患者的临床和术前、术后的头颅CTA数据。基于患者的CTA原始图像构建个体化颅内血管模型,基于CFD技术模拟计算术前、术后的压力和壁剪切应力(wall shear stress,WSS)及PR(pressure ratio)、WSSR(WSS ratio)。通过随访影像学或临床体格检查判断是否发生DCI,并分为DCI组和无DCI组,分析比较两组间临床资料及血流动力学参数差异及其与DCI相关性。结果共入组51例患者,其中DCI组共15例患者(29.4%)DCI组较无DCI组,入院时收缩压(170.87±20.28 vs.1.58.19±28.06,P=0.037)、Pressure术后(19735.10±860.18vs.14606.06±11260.28,P=0.010)和PR(1.58±0.01vs.1.37±2.12,P=0.012)均较高。单因素分析显示血流动力学参数均无统计学差异,而多因素分析显示Pressure术前(OR=1,95%CI:0.999~1,P=0.017)、Prassure术后(QR=1.00.1,95%CI:1~1.001,P=0.007)、WSS术前(OR=1.096,95%CI:1.002~1.198,P=0.045)和WSS术后(OR=0.888,95%CI:0.806~0.979,P=0.017)对DCI的影响有统计学意义。ROC曲线显示,基于Pressure术前、Pressure术后、WSS术前及WSS术后模型对DCI的识别效能AUC为0.794,敏感度为73.33%,特异度为86.1%。结论aSAH后颅内血流动力学早期改变与DCI发生有关。

机械应力影响细胞焦亡的机制研究进展

细胞焦亡是一种由炎性小体传感器激活引起的细胞死亡,最终导致细胞膜的完整性丧失。细胞焦亡导致其胞内容物泄漏至胞外空间诱导趋化和炎症,因此在炎症和疾病的发生发展中具有重要作用。细胞长期处在复杂的机械环境中,机械刺激可来源于微环境,也可来自外力。适宜的机械应力有助于细胞正常生理活动的进行,但过度的机械应力会激活应激信号通路,如死亡通路,从而引起细胞组织损伤和炎症反应,因此本文就细胞焦亡的分子机制及机械应力影响细胞焦亡的具体机制进行文献回顾及综述,旨在为研究焦亡相关疾病提供依据。

滑膜细胞及软骨细胞释放HMGB1流体力学阈值的研究

目的探究流体流动剪切力(fluid flow shear stress,FFSS)下,滑膜细胞及软骨细胞释放高迁移率族蛋白1(high⁃mobility group box 1,HMGB1)时流体力学的阈值;阐明异常机械力刺激下,滑膜细胞及软骨细胞破坏的先后顺序,为了解颞下颌关节骨关节炎的发病机制及病理研究提供实验基础。方法获得医院动物实验伦理委员会的审批,于SD大鼠膝关节获取滑膜组织及软骨组织块,消化培养获得滑膜细胞及软骨细胞,取3~4代滑膜细胞及软骨细胞,通过流体剪切力学装置对软骨及滑膜细胞施加FFSS,根据不同大小的FFSS值分组,分别采用1、3、5、10 dyn/cm^(2)的FFSS刺激滑膜细胞1 h,采用4、8、12、16 dyn/cm^(2)的FFSS刺激软骨细胞1 h,静息培养(0 dyn/cm^(2))作为对照组,观察细胞的形态学变化、免疫组化检测HMGB1及白细胞介素⁃1β(interleu⁃kin⁃1β,IL⁃1β)的细胞表达分布,ELISA检测上清液中HMGB1与IL⁃1β的水平;Western blot检测细胞HMGB1与IL⁃1β蛋白表达水平。结果随着FFSS负载的增大,滑膜细胞及软骨细胞逐渐肿胀,破裂,且细胞数量减少。随着FFSS负载的增大,HMGB1与IL⁃1β的表达由胞核逐渐转移至胞浆。在滑膜细胞中,与对照组相比,1、3、5、10 dyn/cm^(2)干预组中的HMGB1和IL⁃1β在上清液及细胞内的表达水平明显升高(P<0.01)。在软骨细胞中,与对照组相比,4、12、16 dyn/cm^(2) FFSS干预组中HMGB1在上清液中的表达水平增加(P<0.05),细胞HMGB1蛋白表达水平明显增加(P<0.01);而在8 dyn/cm^(2) FFSS干预组中HMGB1在上清液中的表达水平明显增加(P<0.01),但细胞HMGB1蛋白表达减少(P<0.01);与对照组相比,4、8、12、16 dyn/cm^(2) FFSS干预组中IL⁃1β在上清液中表达水平逐渐增加(P<0.01);除4 dyn/cm^(2)组外,随着FFSS负载增大,细胞中IL⁃1β的蛋白表达水平逐渐升高。结论滑膜细胞及软骨细胞随FFSS负载增大出现溶胀破裂,释放HMGB1流体力学阈值分别接近于1 dyn/cm^(2)和8 dyn/cm^(2);即在受到机械力刺激时,滑膜细胞先于软骨细胞损伤。

Effect of coronary artery dynamics on the wall shear stress vector field topological skeleton in fluid–structure interaction analyses

In this paper,we investigate the impact of coronary artery dynamics on the wall shear stress(WSS)vector field topology by comparing fluid–structure interaction(FSI)and computational fluid dynamics(CFD)techniques.As one of the most common causes of death globally,coronary artery disease(CAD)is a significant economic burden;however,novel approaches are still needed to improve our ability to predict its progression.FSI can include the unique dynamical factors present in the coronary vasculature.To investigate the impact of these dynamical factors,we study an idealized artery model with sequential stenosis.The transient simulations made use of the hyperelastic artery and lipid constitutive equations,non‐Newtonian blood viscosity,and the characteristic out‐of‐phase pressure and velocity distribution of the left anterior descending coronary artery.We compare changes to established metrics of time‐averaged WSS(TAWSS)and the oscillatory shear index(OSI)to changes in the emerging WSS divergence,calculated here in a modified version to handle the deforming mesh of FSI simulations.Results suggest that the motion of the artery can impact downstream patterns in both divergence and OSI.WSS magnitude is also decreased by up to 57%due to motion in some regions.WSS divergence patterns varied most significantly between simulations over the systolic period,the time of the largest displacements.This investigation highlights that coronary dynamics could impact markers of potential CAD progression and warrants further detailed investigations in more diverse geometries and patient cases.

Unsteady flow of viscoelastic fluid between two cylinders using fractional Maxwell model

The unsteady flow of an incompressible fractional Maxwell fluid between two infinite coaxial cylinders is studied by means of integral transforms. The motion of the fluid is due to the inner cylinder that applies a time dependent tor- sional shear to the fluid. The exact solutions for velocity and shear stress are presented in series form in terms of some generalized functions. They can easily be particularized to give similar solutions for Maxwell and Newtonian fluids. Fi- nally, the influence of pertinent parameters on the fluid motion, as well as a comparison between models, is highlighted by graphical illustrations.

Bone morphogenetic protein-4 and transforming growth factor-beta1 mechanisms in acute valvular response to supra-physiologic hemodynamic stresses

AIM:To explore ex vivo the role of bone morphogenetic protein-4(BMP-4) and transforming growth factorbeta1(TGF-β1) in acute valvular response to fluid shear stress(FSS) abnormalities.METHODS:Porcine valve leaflets were subjected ex vivo to physiologic FSS,supra-physiologic FSS magnitude at normal frequency and supra-physiologic FSS frequency at normal magnitude for 48 h in a double-sided cone-and-plate bioreactor filled with standard culture medium. The role of BMP-4 and TGF-β1 in the valvular response was investigated by promoting or inhibiting the downstream action of those cytokines via culture medium supplementation with BMP-4 or the BMP antagonist noggin,and TGF-β1 or the TGF-β1 inhibitor SB-431542,respectively. Fresh porcine leaflets were used as controls. Each experimental group consisted of six leaflet samples. Immunostaining and immunoblotting were performed to assess endothelial activation in terms of intercellular adhesion molecule-1 and vascular cell adhesion molecule-1 expressions,paracrine signaling in terms of BMP-4 and TGF-β1 expressions and extracellular matrix(ECM) remodeling in terms of cathepsin L,cathepsin S,metalloproteinases(MMP)-2 and MMP-9 expressions. Immunostained images were quantified by normalizing the intensities of positively stained regions by the number of cells in each image while immunoblots were quantified by densitometry. R E S U LT S :Regardless of the culture medium,physiologic FSS maintained valvular homeostasis. Tissue exposure to supra-physiologic FSS magnitude in standard medium stimulated paracrine signaling(TGF-β1:467% ± 22% vs 100% ± 6% in freshcontrols,BMP-4:258% ± 22% vs 100% ± 4% in fresh controls; P < 0.05) and ECM degradation(MMP-2:941% ± 90% vs 100% ± 19% in fresh controls,MMP-9:1219% ± 190% vs 100% ± 16% in fresh controls,cathepsin L:1187% ± 175% vs 100% ± 12% in fresh controls,cathepsin S:603% ± 88% vs 100% ± 13% in fresh controls; P < 0.05),while BMP-4 supplementation also promoted fibrosa activation and TGF-β1 inhibition reduced MMP-9 expression to the native tissue level(MMP-9:308% ± 153% with TGF-β1 inhibition vs 100% ± 16% in fresh control; P > 0.05). Supra-physiologic FSS frequency had no effect on endothelial activation and paracrine signaling regardless of the culture medium but TGF-β1 silencing attenuated FSS-induced ECM degradation via MMP-9 downregulation(MMP-9:302% ± 182% vs 100% ± 42% in fresh controls; P > 0.05).CONCLUSION:Valvular tissue is sensitive to FSS abnormalities. The TGF-β1 inhibitor SB-431542 is a potential candidate molecule for attenuating the effects of FSS abnormalities on valvular remodeling.

Some exact solutions of the oscillatory motion of a generalized second grade fluid in an annular region of two cylinders

The velocity field and the associated shear stress corresponding to the longitudinal oscillatory flow of a generalized second grade fluid, between two infinite coaxial circular cylinders, are determined by means of the Laplace and Hankel transforms. Initially, the fluid and cylinders are at rest and at t = 0＋ both cylinders suddenly begin to oscillate along their common axis with simple harmonic motions having angular frequencies Ω1 and Ω2. The solutions that have been obtained are presented under integral and series forms in terms of the generalized G and R functions and satisfy the governing differential equation and all imposed initial and boundary conditions. The respective solutions for the motion between the cylinders, when one of them is at rest, can be obtained from our general solutions. Furthermore, the corresponding solutions for the similar flow of ordinary second grade fluid and Newtonian fluid are also obtained as limiting cases of our general solutions. At the end, the effect of different parameters on the flow of ordinary second grade and generalized second grade fluid are investigated graphically by plotting velocity profiles.