Pub Date : 2019-05-29DOI: 10.5772/INTECHOPEN.82689
Luís L. Ferrás, Maria L. Morgado, M. Rebelo, Rosalía T. Leiva, A. Castelo, Gareth H. McKinley, Alexandre M. Afonso
In this chapter, we present a brief description of existing viscoelastic models, starting with the classical differential and integral models, and then focusing our attention on new models that take advantage of the enhanced properties of the Mittag-Leffler function (a generalization of the exponential function). The generalized models considered in this work are the fractional Kaye-Bernstein, Kearsley, Zapas (K-BKZ) integral model and the differential generalized exponential Phan-Thien and Tanner (PTT) model recently proposed by our research group. The integral model makes use of the relaxation function obtained from a step-strain applied to the fractional Maxwell model, and the differential model generalizes the familiar exponential Phan-Thien and Tanner constitutive equation by substituting the exponential function of the trace of the stress tensor by the Mittag-Leffler function. Since the differential model is based on local operators, it reduces the computational time needed to predict the flow behavior, and, it also allows a simpler description of complex fluids. Therefore, we explore the rheometric properties of this model and its ability (or limitations) in describing complex flows.
在本章中，我们简要描述了现有的粘弹性模型，从经典的微分和积分模型开始，然后将注意力集中在利用Mittag-Leffler函数(指数函数的推广)增强特性的新模型上。本文考虑的广义模型是我们课题组最近提出的分数阶Kaye-Bernstein, Kearsley, Zapas (K-BKZ)积分模型和微分广义指数Phan-Thien and Tanner (PTT)模型。积分模型将阶跃应变得到的松弛函数应用到分数阶Maxwell模型中，微分模型将我们熟悉的指数Phan-Thien和Tanner本构方程推广，用mittagg - leffler函数代替应力张量轨迹的指数函数。由于微分模型是基于局部算子的，因此减少了预测流动行为所需的计算时间，并且可以更简单地描述复杂流体。因此，我们探索该模型的流变特性及其描述复杂流动的能力(或局限性)。
{"title":"Recent Advances in Complex Fluids Modeling","authors":"Luís L. Ferrás, Maria L. Morgado, M. Rebelo, Rosalía T. Leiva, A. Castelo, Gareth H. McKinley, Alexandre M. Afonso","doi":"10.5772/INTECHOPEN.82689","DOIUrl":"https://doi.org/10.5772/INTECHOPEN.82689","url":null,"abstract":"In this chapter, we present a brief description of existing viscoelastic models, starting with the classical differential and integral models, and then focusing our attention on new models that take advantage of the enhanced properties of the Mittag-Leffler function (a generalization of the exponential function). The generalized models considered in this work are the fractional Kaye-Bernstein, Kearsley, Zapas (K-BKZ) integral model and the differential generalized exponential Phan-Thien and Tanner (PTT) model recently proposed by our research group. The integral model makes use of the relaxation function obtained from a step-strain applied to the fractional Maxwell model, and the differential model generalizes the familiar exponential Phan-Thien and Tanner constitutive equation by substituting the exponential function of the trace of the stress tensor by the Mittag-Leffler function. Since the differential model is based on local operators, it reduces the computational time needed to predict the flow behavior, and, it also allows a simpler description of complex fluids. Therefore, we explore the rheometric properties of this model and its ability (or limitations) in describing complex flows.","PeriodicalId":346732,"journal":{"name":"Fluid Flow Problems","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114710571","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-05-08DOI: 10.5772/INTECHOPEN.85951
H. Jeon
The relationship of compressive behavior according to manufacturing process parameters of geonet was investigated. We analyzed the drainage behavior of the bi- and tri-plane geonet used for the planar drainage and investigated the changes of the drainage behavior due to the restraining load. The data showed that there is no critical manufacturing factor to affect the compressive strength of the bi-planar geonet. All of these parameters can affect in a very complicated way. And the strand inclination can mainly affect to the after compressive strength, i.e., roll-over behavior. The results considering site-specific conditions of the landfill system explained the temperature has influence on the compressive behavior of the geonet. The compressive strength was reduced and the strain at yield increase gradually with the temperature for both of bi- and tri-planar geonet. Significant reductions in flow capacity were observed for the traditional bi-planar and cylindrical type geonet and this value was consistent to the compressive strength. These decreases were anticipated due to the abrupt thickness decrease of the geonet caused by roll-over. In the other hand, there was no signifi - cant decrease of transmissivity for the tri-planar geonet which has no roll-over phenomena.
{"title":"Analysis of Porous Behaviors by Water Flow Property of Geonets by Theoretical Simulation","authors":"H. Jeon","doi":"10.5772/INTECHOPEN.85951","DOIUrl":"https://doi.org/10.5772/INTECHOPEN.85951","url":null,"abstract":"The relationship of compressive behavior according to manufacturing process parameters of geonet was investigated. We analyzed the drainage behavior of the bi- and tri-plane geonet used for the planar drainage and investigated the changes of the drainage behavior due to the restraining load. The data showed that there is no critical manufacturing factor to affect the compressive strength of the bi-planar geonet. All of these parameters can affect in a very complicated way. And the strand inclination can mainly affect to the after compressive strength, i.e., roll-over behavior. The results considering site-specific conditions of the landfill system explained the temperature has influence on the compressive behavior of the geonet. The compressive strength was reduced and the strain at yield increase gradually with the temperature for both of bi- and tri-planar geonet. Significant reductions in flow capacity were observed for the traditional bi-planar and cylindrical type geonet and this value was consistent to the compressive strength. These decreases were anticipated due to the abrupt thickness decrease of the geonet caused by roll-over. In the other hand, there was no signifi - cant decrease of transmissivity for the tri-planar geonet which has no roll-over phenomena.","PeriodicalId":346732,"journal":{"name":"Fluid Flow Problems","volume":"12 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123727675","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-11-05DOI: 10.5772/INTECHOPEN.79005
K. Mizerski
A magnetohydrodynamic flow of a viscous and conducting fluid confined between two parallel differentially moving boundaries is considered. The whole system is in a strong magnetic field chosen in such a way that the Hartmann boundary layers which form in this problem become singular at the points where the magnetic field becomes tangent to the boundary. Two geometriesaretaken into account: plane and spherical . Withinthe classof such configurations, the velocity field of the fluid and the influence of the conductivity of the boundaries on the fluid ’ s motion are reviewed here. In the region of singularity, where the magnetic field is tangent to the boundary, the fluid ’ s velocity exceeds that of the moving boundary. The effect of nonzero conductivity of the boundaries on the super-speeding jets is vital and has been enlightened in a series of papers, including experimental and theoretical findings.The mechanism of the formation of super-speeding jets in the consideredconfigura- tions has been explained, which is based on strong Hartmann currents allowed to enter the boundarylayerduetothesingularity.Inthecaseofbothperfectlyconductingboundaries,the super velocity wasshown to beasstrong asto scale with theHartmannnumberas O M 1 = 2 (cid:1) (cid:3) .
{"title":"Super-Speeding Jets in MHD Couette Flow","authors":"K. Mizerski","doi":"10.5772/INTECHOPEN.79005","DOIUrl":"https://doi.org/10.5772/INTECHOPEN.79005","url":null,"abstract":"A magnetohydrodynamic flow of a viscous and conducting fluid confined between two parallel differentially moving boundaries is considered. The whole system is in a strong magnetic field chosen in such a way that the Hartmann boundary layers which form in this problem become singular at the points where the magnetic field becomes tangent to the boundary. Two geometriesaretaken into account: plane and spherical . Withinthe classof such configurations, the velocity field of the fluid and the influence of the conductivity of the boundaries on the fluid ’ s motion are reviewed here. In the region of singularity, where the magnetic field is tangent to the boundary, the fluid ’ s velocity exceeds that of the moving boundary. The effect of nonzero conductivity of the boundaries on the super-speeding jets is vital and has been enlightened in a series of papers, including experimental and theoretical findings.The mechanism of the formation of super-speeding jets in the consideredconfigura- tions has been explained, which is based on strong Hartmann currents allowed to enter the boundarylayerduetothesingularity.Inthecaseofbothperfectlyconductingboundaries,the super velocity wasshown to beasstrong asto scale with theHartmannnumberas O M 1 = 2 (cid:1) (cid:3) .","PeriodicalId":346732,"journal":{"name":"Fluid Flow Problems","volume":"115 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123103154","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-11-05DOI: 10.5772/INTECHOPEN.79772
T. Gul, S. Afridi
The aim of this study is to coat a stretching cylinder with the help of a liquid film spray. The Casson fluid has been chosen for the coating phenomena. The thickness of the liquid film has been used as variable, and the influence of heat and mass transmission under the impact of thermophoresis has been encountered in the flow field. The required pressure term for the spray pattern during variable thickness has mainly been focused. Using the suitable similarity transformations, the basic flow equations for the fluid motion have been converted into high-order nonlinear coupled differential equa- tions. Series solutions of subsequent problem have been obtained using controlling procedure optimal approach. Important physical constraints of skin friction, Nusselt number, and Sherwood number have been calculated numerically and discussed. Other physical parameters involved in the problem, i.e., Reynolds number Re, Casson fluid parameter β 1 , Prandtl number Pr, Lewis number Le , Brownian motion parameter N b , and thermophoresis parameter N t have been illustrated. The skin friction effect and its physical appearance are also included in this work. The convergence is checked by plotting h-curves. The emerging parameters are discussed by plotting graphs. The recent work is also compared with the published work.
{"title":"The Heat and Mass Transfer Analysis During Bunch Coating of a Stretching Cylinder by Casson Fluid","authors":"T. Gul, S. Afridi","doi":"10.5772/INTECHOPEN.79772","DOIUrl":"https://doi.org/10.5772/INTECHOPEN.79772","url":null,"abstract":"The aim of this study is to coat a stretching cylinder with the help of a liquid film spray. The Casson fluid has been chosen for the coating phenomena. The thickness of the liquid film has been used as variable, and the influence of heat and mass transmission under the impact of thermophoresis has been encountered in the flow field. The required pressure term for the spray pattern during variable thickness has mainly been focused. Using the suitable similarity transformations, the basic flow equations for the fluid motion have been converted into high-order nonlinear coupled differential equa- tions. Series solutions of subsequent problem have been obtained using controlling procedure optimal approach. Important physical constraints of skin friction, Nusselt number, and Sherwood number have been calculated numerically and discussed. Other physical parameters involved in the problem, i.e., Reynolds number Re, Casson fluid parameter β 1 , Prandtl number Pr, Lewis number Le , Brownian motion parameter N b , and thermophoresis parameter N t have been illustrated. The skin friction effect and its physical appearance are also included in this work. The convergence is checked by plotting h-curves. The emerging parameters are discussed by plotting graphs. The recent work is also compared with the published work.","PeriodicalId":346732,"journal":{"name":"Fluid Flow Problems","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131058220","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-11-05DOI: 10.5772/INTECHOPEN.81300
F. Ali, N. Sheikh
In many real life problems, heat transfer is an important issue and becomes a challenge for the engineers and industrialists. In order to overcome this challenge, one of the methods, which is commonly in use, is to increase the available surface area of heat exchange [1–4]. Hussanan et al. [5] studied the use of oxide nanoparticles for the energy enhancement in water, kerosene, and engine oil-based nanofluids. Tesfai [6] experimentally investigated graphene and graphene oxide suspension for thermal management application. Shafie et al. [7] are considered the first who reported a theoretical study on molybdenum disulfide ( MoS 2 ) nanoparticle suspended in water-based nanofluid in a channel. Khan et al. [8] and Khan [9] also analyzed Molybdenum Disulfide nanofluids in a vertical channel with various effects. Few other interesting investigations in this direction are those made by Wu and Zhao [10], Khan [11], Ali et al. [12] Sheikholeslami and Bhatti [13], Rashidi et al. [14], Mahian et al. [15], and Kasaeian [16].
在许多实际问题中，传热是一个重要的问题，对工程师和实业家来说是一个挑战。为了克服这一挑战，常用的方法之一是增加有效的换热表面积[1-4]。Hussanan等人研究了氧化物纳米颗粒在水、煤油和机油基纳米流体中的能量增强作用。Tesfai[6]实验研究了石墨烯和氧化石墨烯悬浮液在热管理中的应用。Shafie等人被认为是第一个报道了二硫化钼(MoS 2)纳米颗粒悬浮在水基纳米流体中在通道中的理论研究的人。Khan等人[8]和Khan[9]也分析了垂直通道中具有不同效果的二硫化钼纳米流体。在这个方向上的其他一些有趣的研究有Wu and Zhao [10]， Khan [11]， Ali et al. [12] Sheikholeslami and Bhatti [13]， Rashidi et al. [14]， Mahian et al.[15]和Kasaeian[16]。
{"title":"Introductory Chapter: Fluid Flow Problems","authors":"F. Ali, N. Sheikh","doi":"10.5772/INTECHOPEN.81300","DOIUrl":"https://doi.org/10.5772/INTECHOPEN.81300","url":null,"abstract":"In many real life problems, heat transfer is an important issue and becomes a challenge for the engineers and industrialists. In order to overcome this challenge, one of the methods, which is commonly in use, is to increase the available surface area of heat exchange [1–4]. Hussanan et al. [5] studied the use of oxide nanoparticles for the energy enhancement in water, kerosene, and engine oil-based nanofluids. Tesfai [6] experimentally investigated graphene and graphene oxide suspension for thermal management application. Shafie et al. [7] are considered the first who reported a theoretical study on molybdenum disulfide ( MoS 2 ) nanoparticle suspended in water-based nanofluid in a channel. Khan et al. [8] and Khan [9] also analyzed Molybdenum Disulfide nanofluids in a vertical channel with various effects. Few other interesting investigations in this direction are those made by Wu and Zhao [10], Khan [11], Ali et al. [12] Sheikholeslami and Bhatti [13], Rashidi et al. [14], Mahian et al. [15], and Kasaeian [16].","PeriodicalId":346732,"journal":{"name":"Fluid Flow Problems","volume":"1092 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123341347","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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