Journal articles: 'Bulkley'

1

CRASTER, R. V. "SOLUTIONS FOR HERSCHEL-BULKLEY FLOWS." Quarterly Journal of Mechanics and Applied Mathematics 48, no. 3 (1995): 343–74. http://dx.doi.org/10.1093/qjmam/48.3.343.

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2

Klotz, James A., and William E. Brigham. "To Determine Herschel-Bulkley Coefficients." Journal of Petroleum Technology 50, no. 11 (November 1, 1998): 80–81. http://dx.doi.org/10.2118/52527-jpt.

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3

Jing, Zefeng, Shuzhong Wang, and Zhende Zhai. "Effects of slip and rheological parameters on the flow and heat transfer of a Herschel-Bulkley fluid." International Journal of Numerical Methods for Heat & Fluid Flow 27, no. 4 (April 3, 2017): 981–99. http://dx.doi.org/10.1108/hff-07-2015-0271.

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Purpose The purpose of this paper is to investigate the combined effects of slip and rheological parameters on the flow and heat transfer of the Herschel-Bulkley fluid. Design/methodology/approach The combinative dimensionless parameter method is introduced into the equations of the slip flow and heat transfer to make the discussion more comprehensive. More specifically, the slip and rheological parameters are transformed into the dimensionless slip number as well as Herschel-Bulkley number. We solve the dimensionless equations and then focus on the effects of these parameters on the slip flow and heat transfer. Findings The results show that, for a given value of Herschel-Bulkley number, there is a finite critical value of slip number at which the pressure gradient reaches the lowest value and both the dimensionless yield radius and slip velocity become 1. Meanwhile, the Nusselt number tends to be infinite at this critical value of slip number. For the case of slip, the Nusselt number also approaches infinity at a finite critical value of Herschel-Bulkley number. Furthermore, the dimensionless velocity as well as temperature of the yield pseudoplastic fluid with higher slip number is lower within a small radius but becomes higher near the wall. Meanwhile, from the velocity and temperature profiles, the effect of Herschel-Bulkley number on these two parameters of the Bingham fluid at the smaller radius is opposite. Originality/value These associated expressions can be generalized to the flow and heat transfer of a Herschel-Bulkley fluid under slip boundary condition. It can provide a reference for the engineering application relating to the heat transfer and flow of a Herschel-Bulkley fluid. Meanwhile, it also suggests some revelations for dealing with this similar problem.

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Zhu, Shi Xing, Xin Liu, and Li Ding. "Modeling and Analysis of Magnetorheological Fluid Damper under Impact Load." Advanced Materials Research 452-453 (January 2012): 1481–85. http://dx.doi.org/10.4028/www.scientific.net/amr.452-453.1481.

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Modeling of a multi- ring grooves Magnetorheological（MR）fluid damper designed by ourselves were respectively carried out based on the Bingham model and the Herschel-Bulkley model. By comparing the simulation results of the two models with the true drop experimental result, it was proved that the Herschel-Bulkley model is in good accordance with the experiment and outperformed the Bingham model under high shear rate and high magnetic field. Furthermore, the parameter n in the Herschel-Bulkley model reflects the densification of the MR fluids, and by identifying and selecting the value of n better models and simulation results can be obtained.

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Alexandrou, Andreas N., Philippe Le Menn, Georgios Georgiou, and Vladimir Entov. "Flow instabilities of Herschel–Bulkley fluids." Journal of Non-Newtonian Fluid Mechanics 116, no. 1 (December 2003): 19–32. http://dx.doi.org/10.1016/s0377-0257(03)00113-7.

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de Larrard, F., C. F. Ferraris, and T. Sedran. "Fresh concrete: A Herschel-Bulkley material." Materials and Structures 31, no. 7 (August 1998): 494–98. http://dx.doi.org/10.1007/bf02480474.

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7

Gurjão, Flávio Farias, Gilmara Gurjão Carneiro, Taciano Pessoa, Débora Rafaelly Soares Silva, and Patricia Rodrigues Pê. "Comportamento reológico de iogurte de cajá comercializado em Campina Grande, Paraíba." Revista Verde de Agroecologia e Desenvolvimento Sustentável 10, no. 2 (December 31, 2015): 257–60. http://dx.doi.org/10.18378/rvads.v10i2.2939.

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O estudo reológico contribui para o conhecimento da estrutura molecular, no controle de qualidade e aceitação de um determinado produto, auxilia no controle do processo industrial e em projetos de equipamentos no processamento dos materiais. Objetivou-se avaliar o comportamento reológico de iogurte de cajá e a adequação dos dados reológicos aos modelos de Ostwald-de-Waele, Herschel-Bulkley e Mizrahi-Berk e ainda o efeito da temperatura sobre o comportamento reológico. Os dados reológicos foram obtidos através de um viscosímetro Brookfield DV-II+Pro. Os ensaios foram realizados nas temperaturas 20, 30 e 40 °C e os resultados experimentais foram ajustados pelos modelos de Ostwalde-de-Waelle, Casson, Hershel Bulkey e Mizrahi-Berk, com auxílio do software STATISTICA, versão 7.0. O iogurte analisado neste experimento apresentou comportamento de fluido não newtoniano com características pseudoplástica. Os modelos reológicos de Hershel Bulkey e Mizrahi-Berk representaram satisfatoriamente o comportamento reológico do iogurte de cajá nas diferentes temperaturas estudadas, apresentando coeficientes de correlação (R²), acima de 0,99. Rheological properties of yogurt cajá marketed in Campina Grande, state ParaíbaAbstract: The rheological study contributes to the knowledge of the molecular structure, the quality control and acceptance of a particular product, helps to control the manufacturing process and equipment designs in the processing of materials. This study aimed to evaluate the rheological behavior of yogurt cajá and the adequacy of the rheological data to models of Ostwald-de-Waele, Herschel-Bulkley and Mizrahi-Berk still the effect of temperature on the rheological behavior. The rheological data were obtained using a Brookfield DV-II + Pro. Assays were carried out at temperatures 20, 30 and 40 °C and the experimental results were adjusted by the model-to-Ostwalde Waelle, Casson and Herschel Bulkey Mizrahi-Berk, using the STATISTICA software, version 7.0. The yogurt analyzed in this experiment showed behavior of pseudoplastic non-Newtonian fluid characteristics. The rheological models Hershel Bulkey and Mizrahi-Berk satisfactorily represented the rheological behavior of the hog plum yogurt at different temperatures studied, with correlation coefficients (R²) above 0.99.

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8

Sherwood, J. D., and D. Durban. "Squeeze-flow of a Herschel–Bulkley fluid." Journal of Non-Newtonian Fluid Mechanics 77, no. 1-2 (May 1998): 115–21. http://dx.doi.org/10.1016/s0377-0257(97)00099-2.

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9

Malin, M. R. "Turbulent pipe flow of Herschel-Bulkley fluids." International Communications in Heat and Mass Transfer 25, no. 3 (April 1998): 321–30. http://dx.doi.org/10.1016/s0735-1933(98)00019-0.

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10

Hassan, M. A., Manabendra Pathak, and Mohd Kaleem Khan. "Rayleigh–Benard convection in Herschel–Bulkley fluid." Journal of Non-Newtonian Fluid Mechanics 226 (December 2015): 32–45. http://dx.doi.org/10.1016/j.jnnfm.2015.10.003.

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11

Ancey, Christophe, and Belinda M. Bates. "Stokes’ third problem for Herschel–Bulkley fluids." Journal of Non-Newtonian Fluid Mechanics 243 (May 2017): 27–37. http://dx.doi.org/10.1016/j.jnnfm.2017.03.005.

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12

Matvienko, O. V., V. P. Bazuev, V. N. Venik, and N. G. Smirnova. "Numerical investigation of Herschel Bulkley fluids mixing." IOP Conference Series: Materials Science and Engineering 71 (January 20, 2015): 012034. http://dx.doi.org/10.1088/1757-899x/71/1/012034.

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13

EL-ALI, K., and C. ATKINSON. "Boundary value problems involving Herschel-Bulkley material." IMA Journal of Applied Mathematics 51, no. 2 (1993): 169–86. http://dx.doi.org/10.1093/imamat/51.2.169.

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14

Carlin, Nathan Steven. "Dreaming Beyond Death: A Guide to Pre-death Dreams and Visions – Kelly Bulkeley and Patricia Bulkley." Religious Studies Review 32, no. 2 (April 2006): 104. http://dx.doi.org/10.1111/j.1748-0922.2006.00055_3.x.

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15

Sreenadh, S., B. Sumalatha, and A. N.S.Srinivas. "Flow of a Herschel-Bulkley Fluid in a Channel with Elastic Walls." International Journal of Engineering & Technology 7, no. 4.10 (October 2, 2018): 491. http://dx.doi.org/10.14419/ijet.v7i4.10.21210.

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In order to model the blood flow through an artery in presence of catheter, we considered a steady, laminar, incompressible, Poiseuille flow of a Herschel-Bulkley fluid between two horizontal parallel elastic walls. The power law index ( ) and yield stress ( ) are the two parameters of the Herschel - Bulkley fluid. By giving different values for the above mentioned parameters, we get the Newtonian, Bingham and Power-law fluids as special cases. The exact solutions for the flow quantities such as velocity, plug flow velocity and flux are derived. The flux is determined as a function of inlet, outlet, external pressures and the elastic property of the channel. The effect of elastic parameters on flux variation is analyzed. Further when and our results qualitatively agree with those of Rubinow and Keller [2]. In addition, velocity of the Herschel- Bulkley fluid flow is expressed in terms of elastic parameters.

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16

Priyadharshini, S., and R. Ponalagusamy. "Biorheological Model on Flow of Herschel-Bulkley Fluid through a Tapered Arterial Stenosis with Dilatation." Applied Bionics and Biomechanics 2015 (2015): 1–12. http://dx.doi.org/10.1155/2015/406195.

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An analysis of blood flow through a tapered artery with stenosis and dilatation has been carried out where the blood is treated as incompressible Herschel-Bulkley fluid. A comparison between numerical values and analytical values of pressure gradient at the midpoint of stenotic region shows that the analytical expression for pressure gradient works well for the values of yield stress till 2.4. The wall shear stress and flow resistance increase significantly with axial distance and the increase is more in the case of converging tapered artery. A comparison study of velocity profiles, wall shear stress, and flow resistance for Newtonian, power law, Bingham-plastic, and Herschel-Bulkley fluids shows that the variation is greater for Herschel-Bulkley fluid than the other fluids. The obtained velocity profiles have been compared with the experimental data and it is observed that blood behaves like a Herschel-Bulkley fluid rather than power law, Bingham, and Newtonian fluids. It is observed that, in the case of a tapered stenosed tube, the streamline pattern follows a convex pattern when we move fromr/R=0tor/R=1and it follows a concave pattern when we move fromr/R=0tor/R=-1. Further, it is of opposite behaviour in the case of a tapered dilatation tube which forms new information that is, for the first time, added to the literature.

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17

Cui, Jing Wen, Zhi Shang Liu, and Yu Chen Zhang. "Study on the Generalized Darcy's Law for Bingham and Herschel-Bulkley Fluids." Applied Mechanics and Materials 433-435 (October 2013): 1933–36. http://dx.doi.org/10.4028/www.scientific.net/amm.433-435.1933.

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Extra-heavy oil, polymer solution and some drilling fluids are typical non-Newtonian Herschel-Bulkley fluids, which behave as sheer-thinning with yield stress. In this paper, the Generalized Darcy's law for Herschel-Bulkley fluids flow in porous media was formulated, by the same way formulating the Generalized Darcy's Law for Bingham fluids. Then, the applications of the two type flow models were compared; Bingham type model was still widely applied due to its conciseness and relatively satisfied accuracy. In addition, the Generalized Darcys Law was revised to describe thixotropic non-Newtonian fluids conceptually.

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18

Ayala, Germán, Rubén A. Vargas, and Ana C. Agudelo. "Influence of Glycerol and Temperature on the Rheological Properties of Potato Starch Solutions." International Agrophysics 28, no. 3 (July 29, 2014): 261–68. http://dx.doi.org/10.2478/intag-2014-0016.

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Abstract Effects of temperature and glycerol concentration on rheological properties of potato starch solutions were investigated. The flow behaviour (shear stress against shear rate) was fitted to various models: power law, Herschel-Bulkley, Bingham, modified Bingham and Casson models. However, it was found that the Herschel-Bulkley model describes better the flow behaviour observed at various temperatures and glycerol concentrations, for flow behaviour index values between 0.44 and 0.78, typical of pseudoplastic solutions. The effect of glycerol concentration on each of the fitting parameters for Herschel-Bulkley model was well modelled by a second-degree polynomial at various temperatures. The simultaneous influence of glycerol concentration and temperature on shear stress could be represented empirically by a second-degree polynomial function that includes linear coupling between concentration and temperature. Finally, the variation of the consistency coefficient with both temperature and glycerol concentration was well described by an exponential expression, with an activation energy value of 2.78 kJ mol-1. The results indicate that both glycerol content and temperature have the effect of diluting potato starch solutions.

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19

Almeida, Raphael Lucas, Newton Carlos Santos, Tamires dos Santos Pereira, Virginia Mirtes de alcântara Silva, Victor Herbet de Alcantara Ribeiro, Luana Nascimento Silva, Cecília Elisa de Sousa Muniz, Lucas Rodolfo Inácio da Silva, Flávia Izabely Nunes Moreira, and Yara Gerônimo Monteiro. "Estudo reológico da polpa de Jabuticaba com diferentes concentrações de goma arábica." Research, Society and Development 9, no. 3 (February 19, 2020): e91932511. http://dx.doi.org/10.33448/rsd-v9i3.2511.

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Este estudo teve como objetivo comparar análises reológicas em função da adição do agente encapsulante goma arábica na polpa de Jabuticaba. O estudo reológico foi realizado em função da concentração de goma arábica (0, 5, 10 e 15%) e os modelos reológicos de Bingham, Mizrahi-Berk, Casson, Herschel-Bulkley e Ostwald-de-Waelle (Lei da Potência) foram ajustados aos dados experimentais. Os modelos reológicos de Herschel-Bulkley e Mizrahi-Berk apresentaram os melhores ajustes para todas as formulações com coeficientes de determinação (R2) superiores a 0,99 e a função qui-quadrado inferiores a 0,12. Observou-se que o índice de consistência apresentou tendência de aumento com a adição da goma arábica para os modelos de Herschel-Bulkley e Ostwald-de-Waele, indicando que estas se tornaram mais consistentes e a viscosidade diminui com o aumento da taxa de deformação do fluido. Portanto, o estudo reológico indicou que a polpa e as suas formulações, com adição do agente encapsulante apresentaram comportamento de fluido não-Newtoniano, no caso específico a de um pseudoplástico.

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20

Wu, Weiwei, Xiaodiao Huang, Yuanyuan Li, Chenggang Fang, and Xianhui Jiang. "A modified LBM for non-Newtonian effect of cement paste flow in 3D printing." Rapid Prototyping Journal 25, no. 1 (January 7, 2019): 22–29. http://dx.doi.org/10.1108/rpj-06-2017-0124.

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Purpose The screw extruder is applied in cement-three-dimensional (3D) printing. The cement paste flow in 3D printing is the typical Herschel–Bulkley fluid. To understand the flow in the channel, the improved lattice Boltzmann method (LBM) is proposed. Design/methodology/approach For Herschel–Bulkley flow, an improved LBM is presented to avoid the poor stability and accuracy. The non-Newtonian effect is regard as a special forcing term. The Poiseuille flow is taken to discuss the detailed process of the method. With the method, the analytical solution and numerical solution are obtained and compared. Then, the effect of the initial yield stress on the numerical solution is both explored by the shear-thickening fluid and the shear-thinning fluid. Moreover, the variations of the relative errors under different lattice nodes and different power-law indexes are analyzed. Finally, the method is applied into the simulation of the flow in the extruder of cement-3D printing. Findings The results show that the improved method is effective for Herschel–Bulkley fluids, which can simulate the flow in the extruder stably and accurately. Practical implications The simulation can contribute to understand the cement paste flow in the screw extruder, which helps to optimize the structure of the extruder in the following periods. Originality/value The improve method provide a new way to analyze the flow in the extruder of cement-3D printing. Also, in the past research, LBM for Herschel–Bulkley fluid is ignored, whereas the study can provide the reference for the numerical simulation.

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21

Muravleva, Larisa. "Axisymmetric squeeze flow of a Herschel–Bulkley medium." Journal of Non-Newtonian Fluid Mechanics 271 (September 2019): 104147. http://dx.doi.org/10.1016/j.jnnfm.2019.104147.

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22

Gupta, R. C. "Herschel-Bulkley Fluid Flow Development in a Channel." Polymer-Plastics Technology and Engineering 34, no. 3 (May 1995): 475–92. http://dx.doi.org/10.1080/03602559508012197.

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23

Skadsem, Hans Joakim, and Arild Saasen. "Concentric cylinder viscometer flows of Herschel-Bulkley fluids." Applied Rheology 29, no. 1 (January 1, 2019): 173–81. http://dx.doi.org/10.1515/arh-2019-0015.

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Abstract Drilling fluids and well cements are example non-Newtonian fluids that are used for geothermal and petroleum well construction. Measurement of the non-Newtonian fluid viscosities are normally performed using a concentric cylinder Couette geometry, where one of the cylinders rotates at a controlled speed or under a controlled torque. In this paper we address Couette flow of yield stress shear thinning fluids in concentric cylinder geometries.We focus on typical oilfield viscometers and discuss effects of yield stress and shear thinning on fluid yielding at low viscometer rotational speeds and errors caused by the Newtonian shear rate assumption. We relate these errors to possible implications for typical wellbore flows.

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24

Aghighi, Mohammad Saeid, and Amine Ammar. "Aspect ratio effects in Rayleigh–Bénard convection of Herschel–Bulkley fluids." Engineering Computations 34, no. 5 (July 3, 2017): 1658–76. http://dx.doi.org/10.1108/ec-06-2016-0227.

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Purpose The purpose of this paper is to analyze two-dimensional steady-state Rayleigh–Bénard convection within rectangular enclosures in different aspect ratios filled with yield stress fluids obeying the Herschel–Bulkley model. Design/methodology/approach In this study, a numerical method based on the finite element has been developed for analyzing two-dimensional natural convection of a Herschel–Bulkley fluid. The effects of Bingham number Bn and power law index n on heat and momentum transport have been investigated for a nominal Rayleigh number range (5 × 103 < Ra < 105), three different aspect ratios (ratio of enclosure length:height AR = 1, 2, 3) and a single representative value of nominal Prandtl number (Pr = 10). Findings Results show that the mean Nusselt number Nu¯ increases with increasing Rayleigh number due to strengthening of convective transport. However, with the same nominal value of Ra, the values of Nu¯ for shear thinning fluids n < 1 are greater than shear thickening fluids n > 1. The values of Nu¯ decrease with Bingham number and for large values of Bn, Nu¯ rapidly approaches unity, which indicates that heat transfer takes place principally by thermal conduction. The effects of aspect ratios have also been investigated and results show that Nu¯ increases with increasing AR due to stronger convection effects. Originality/value This paper presents a numerical study of Rayleigh–Bérnard flows involving Herschel–Bulkley fluids for a wide range of Rayleigh numbers, Bingham numbers and power law index based on finite element method. The effects of aspect ratio on flow and heat transfer of Herschel–Bulkley fluids are also studied.

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25

Vaidya, Hanumesh, Manjunatha Gudekote, Rajashekhar Choudhari, and Prasad K.V. "Role of slip and heat transfer on peristaltic transport of Herschel-Bulkley fluid through an elastic tube." Multidiscipline Modeling in Materials and Structures 14, no. 5 (December 6, 2018): 940–59. http://dx.doi.org/10.1108/mmms-11-2017-0144.

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Purpose This paper is concerned with the peristaltic transport of an incompressible non-Newtonian fluid in a porous elastic tube. The impacts of slip and heat transfer on the Herschel-Bulkley fluid are considered. The impacts of relevant parameters on flow rate and temperature are examined graphically. The examination incorporates Newtonian, Power-law and Bingham plastic fluids. The paper aims to discuss these issues. Design/methodology/approach The administering equations are solved utilizing long wavelength and low Reynolds number approximations, and exact solutions are acquired for velocity, temperature, flux and stream functions. Findings It is seen that the flow rate in a Newtonian fluid is high when contrasted with the Herschel-Bulkley model, and the inlet elastic radius and outlet elastic radius have opposite effects on the flow rate. Originality/value The analysis carried out in this paper is about the peristaltic transport of an incompressible non-Newtonian fluid in a porous elastic tube. The impact of slip and heat transfer on a Herschel-Bulkley fluid is taken into account. The impacts of relevant parameters on the flow rate and temperature are examined graphically. The examination incorporates Newtonian, Power-law and Bingham plastic fluids.

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26

Walicka, A., and P. Jurczak. "Pressure Distribution in a Porous Squeeze Film Bearing Lubricated with a Herschel-Bulkley Fluid." International Journal of Applied Mechanics and Engineering 21, no. 4 (December 1, 2016): 951–65. http://dx.doi.org/10.1515/ijame-2016-0057.

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Abstract The influence of a wall porosity on the pressure distribution in a curvilinear squeeze film bearing lubricated with a lubricant being a viscoplastic fluid of a Herschel-Bulkley type is considered. After general considerations on the flow of the viscoplastic fluid (lubricant) in a bearing clearance and in a porous layer the modified Reynolds equation for the curvilinear squeeze film bearing with a Herschel-Bulkley lubricant is given. The solution of this equation is obtained by a method of successive approximation. As a result one obtains a formula expressing the pressure distribution. The example of squeeze films in a step bearing (modeled by two parallel disks) is discussed in detail.

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27

Ak, M. Mehmet, and Sundaram Gunasekaran. "Simulation of Lubricated Squeezing Flow of a Herschel-Bulkley Fluid Under Constant Force." Applied Rheology 10, no. 6 (December 1, 2000): 274–79. http://dx.doi.org/10.1515/arh-2000-0017.

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AbstractLubricated squeezing flow (LSF) of a Herschel-Bulkley fluid between parallel disks under constant force was theoretically analyzed. An analytical expression for the fluid thickness as a function of time was obtained in terms of a hypergeometric function. The fluid thickness profiles in LSF were simulated for a range of each of the model parameters (n, K, τo). The solution obtained in this study reduces to the corresponding analytical equations previously derived for LSF of Newtonian and power-law fluids. The simulations for Herschel-Bulkley fluid were compared with the response of Newtonian and power-law fluids. The dependence of the limiting fluid thickness (i.e. H(t)/H0 at 180 s) on model parameters is presented.

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Marum, Daniela Martins, Maria Diná Afonso, and Brian Bernardo Ochoa. "Rheological behavior of a bentonite mud." Applied Rheology 30, no. 1 (January 1, 2020): 107–18. http://dx.doi.org/10.1515/arh-2020-0108.

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Abstract Predicting drilling fluids rheology is crucial to control/optimize the drilling process and the gas extraction from drilling fluids in logging systems. A Couette viscometer measured the apparent viscosity of a bentonite mud at various shear rates and temperatures. The bentonite mud behaved as a yield-pseudoplastic fluid, and a modified Herschel-Bulkley model predicted the shear rate and temperature effects upon the shear stress. A pipe viscometer was built to seek a correlation between the mud flow rate and the pressure drop and thereby determine refined Herschel-Bulkley parameters. Coupling a rheological model to a pipe viscometer enables the continuous acquisition of apparent viscosities of Newtonian or non-Newtonian fluids at a rig-site surface.

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Alexandrou, Andreas N., Timothy M. McGilvreay, and Gilmer Burgos. "Steady Herschel–Bulkley fluid flow in three-dimensional expansions." Journal of Non-Newtonian Fluid Mechanics 100, no. 1-3 (September 2001): 77–96. http://dx.doi.org/10.1016/s0377-0257(01)00127-6.

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30

Nguyen, V. H., S. Rémond, J. L. Gallias, J. P. Bigas, and P. Muller. "Flow of Herschel–Bulkley fluids through the Marsh cone." Journal of Non-Newtonian Fluid Mechanics 139, no. 1-2 (November 2006): 128–34. http://dx.doi.org/10.1016/j.jnnfm.2006.07.009.

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31

Taliadorou, Eleni, Georgios C. Georgiou, and Irene Moulitsas. "Weakly compressible Poiseuille flows of a Herschel–Bulkley fluid." Journal of Non-Newtonian Fluid Mechanics 158, no. 1-3 (May 2009): 162–69. http://dx.doi.org/10.1016/j.jnnfm.2008.11.010.

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Liu, R., Z. Ding, and K. X. Hu. "Stabilities in plane Poiseuille flow of Herschel–Bulkley fluid." Journal of Non-Newtonian Fluid Mechanics 251 (January 2018): 132–44. http://dx.doi.org/10.1016/j.jnnfm.2017.11.007.

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33

Wereley, Norman M. "Nondimensional Herschel—Bulkley Analysis of Magnetorheological and Electrorheological Dampers." Journal of Intelligent Material Systems and Structures 19, no. 3 (October 17, 2007): 257–68. http://dx.doi.org/10.1177/1045389x07088107.

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34

Jafri, Ijaz H., and George C. Vradis. "The evolution of laminar jets of Herschel–Bulkley fluids." International Journal of Heat and Mass Transfer 41, no. 22 (November 1998): 3575–88. http://dx.doi.org/10.1016/s0017-9310(98)00050-7.

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35

MÁLEK, J., M. RŮŽIČKA, and V. V. SHELUKHIN. "HERSCHEL–BULKLEY FLUIDS: EXISTENCE AND REGULARITY OF STEADY FLOWS." Mathematical Models and Methods in Applied Sciences 15, no. 12 (December 2005): 1845–61. http://dx.doi.org/10.1142/s0218202505000996.

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The equations for steady flows of Herschel–Bulkley fluids are considered and the existence of a weak solution is proved for the Dirichlet boundary-value problem. The rheology of such a fluid is defined by a yield stress τ* and a discontinuous constitutive relation between the Cauchy stress and the symmetric part of the velocity gradient. Such a fluid stiffens if its local stresses do not exceed τ*, and it behaves like a non-Newtonian fluid otherwise. We address here a class of nonlinear fluids which includes shear-thinning p-law fluids with 9/5 < p ≤ 2. The flow equations are formulated in the stress-velocity setting (cf. Ref. 25). Our approach is different from that of Duvaut–Lions (cf. Ref. 10) developed for classical Bingham visco-plastic materials. We do not apply the variational inequality but make use of an approximation of the Herschel–Bulkley fluid with a generalized Newtonian fluid with a continuous constitutive law.

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36

Mitsoulis, E., S. S. Abdali, and N. C. Markatos. "Flow simulation of herschel-bulkley fluids through extrusion dies." Canadian Journal of Chemical Engineering 71, no. 1 (February 1993): 147–60. http://dx.doi.org/10.1002/cjce.5450710120.

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37

Zhang, Jing, Roger E. Khayat, and Alphonso P. Noronha. "Three-dimensional lubrication flow of a Herschel-Bulkley fluid." International Journal for Numerical Methods in Fluids 50, no. 4 (2005): 511–30. http://dx.doi.org/10.1002/fld.1076.

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38

Swamee, Prabhata K., and Nitin Aggarwal. "Explicit equations for laminar flow of herschel-bulkley fluids." Canadian Journal of Chemical Engineering 89, no. 6 (February 28, 2011): 1426–33. http://dx.doi.org/10.1002/cjce.20484.

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39

Craster, R. "Yield surfaces for Herschel-Bulkley flows in complex geometries." IMA Journal of Applied Mathematics 56, no. 2 (April 1, 1996): 253–76. http://dx.doi.org/10.1093/imamat/56.2.253.

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40

Craster, R. "Yield surfaces for Herschel-Bulkley flows in complex geometries." IMA Journal of Applied Mathematics 56, no. 3 (June 1, 1996): 253–76. http://dx.doi.org/10.1093/imamat/56.3.253.

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41

Batra, R. L., and A. Kandasamy. "Entrance flow of Herschel-Bulkley fluids in a duct." Fluid Dynamics Research 6, no. 1 (June 1990): 43–50. http://dx.doi.org/10.1016/0169-5983(90)90037-y.

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42

Wu, Weiwei, Xiaodiao Huang, Hong Yuan, Fei Xu, and Jingtao Ma. "A modified lattice boltzmann method for herschel-bulkley fluids." Rheologica Acta 56, no. 4 (February 20, 2017): 369–76. http://dx.doi.org/10.1007/s00397-017-1000-9.

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Mishra, Kim, Lucas Grob, Lucas Kohler, Simon Zimmermann, Stefan Gstöhl, Peter Fischer, and Erich J. Windhab. "Entrance flow of unfoamed and foamed Herschel–Bulkley fluids." Journal of Rheology 65, no. 6 (November 2021): 1155–68. http://dx.doi.org/10.1122/8.0000286.

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Jeon, Chan-Hoo, and Ben R. Hodges. "Comparing thixotropic and Herschel–Bulkley parameterizations for continuum models of avalanches and subaqueous debris flows." Natural Hazards and Earth System Sciences 18, no. 1 (January 22, 2018): 303–19. http://dx.doi.org/10.5194/nhess-18-303-2018.

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Abstract. Avalanches and subaqueous debris flows are two cases of a wide range of natural hazards that have been previously modeled with non-Newtonian fluid mechanics approximating the interplay of forces associated with gravity flows of granular and solid–liquid mixtures. The complex behaviors of such flows at unsteady flow initiation (i.e., destruction of structural jamming) and flow stalling (restructuralization) imply that the representative viscosity–stress relationships should include hysteresis: there is no reason to expect the timescale of microstructure destruction is the same as the timescale of restructuralization. The non-Newtonian Herschel–Bulkley relationship that has been previously used in such models implies complete reversibility of the stress–strain relationship and thus cannot correctly represent unsteady phases. In contrast, a thixotropic non-Newtonian model allows representation of initial structural jamming and aging effects that provide hysteresis in the stress–strain relationship. In this study, a thixotropic model and a Herschel–Bulkley model are compared to each other and to prior laboratory experiments that are representative of an avalanche and a subaqueous debris flow. A numerical solver using a multi-material level-set method is applied to track multiple interfaces simultaneously in the simulations. The numerical results are validated with analytical solutions and available experimental data using parameters selected based on the experimental setup and without post hoc calibration. The thixotropic (time-dependent) fluid model shows reasonable agreement with all the experimental data. For most of the experimental conditions, the Herschel–Bulkley (time-independent) model results were similar to the thixotropic model, a critical exception being conditions with a high yield stress where the Herschel–Bulkley model did not initiate flow. These results indicate that the thixotropic relationship is promising for modeling unsteady phases of debris flows and avalanches, but there is a need for better understanding of the correct material parameters and parameters for the initial structural jamming and characteristic time of aging, which requires more detailed experimental data than presently available.

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Ameer, Hassan Abdul, and Hassan Abdul Hadi. "Calculation of Pressure Loss of Two Drilling Muds in Noor Oil Field." Journal of Engineering 26, no. 2 (January 30, 2020): 57–69. http://dx.doi.org/10.31026/j.eng.2020.02.05.

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In this work, calculation of pressure losses in circulating system for two drilling muds is evaluated in Noor oil field. Two types of drilling muds that were used for drilling section 12 1/4" and 8 3/4" which are Salt saturated mud and Ferro Chrome Lignosulfonate-Chrome Lignite mud. These calculations are based on field data that were gathered from the drilling site of well Noor-15, which are included, rheological data, flow data and specification of drill string. Based on the obtained results, the best rheological model that fit their data is the Herschel-Bulkley model according to correlation coefficient value for their two drilling mud. Also, the difference between the calculated pressure loss by Herschel-Bulkley model and standpipe pressure value are very convergence.

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Walicka, A., and J. Falicki. "Inertia Effects in the Flow of a Herschel-Bulkley ERF between Fixed Surfaces of Revolution." Smart Materials Research 2013 (July 24, 2013): 1–10. http://dx.doi.org/10.1155/2013/171456.

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Many electrorheological fluids (ERFs) as fluids with microstructure demonstrate viscoplastic behaviours. Rheometric measurements indicate that some flows of these fluids may be modelled as the flows of a Herschel-Bulkley fluid. In this paper, the flow of a Herschel-Bulkley ER fluid—with a fractional power-law exponent—in a narrow clearance between two fixed surfaces of revolution with common axis of symmetry is considered. The flow is externally pressurized, and it is considered with inertia effect. In order to solve this problem, the boundary layer equations are used. The influence of inertia forces on the pressure distribution is examined by using the method of averaged inertia terms of the momentum equation. Numerical examples of externally pressurized ERFs flows in the clearance between parallel disks and concentric spherical surfaces are presented.

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Sankar, D. S., Nurul Aini Binti Jaafar, and Yazariah Yatim. "Nonlinear Analysis for Shear Augmented Dispersion of Solutes in Blood Flow through Narrow Arteries." Journal of Applied Mathematics 2012 (2012): 1–24. http://dx.doi.org/10.1155/2012/812535.

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The shear augmented dispersion of solutes in blood flow (i) through circular tube and (ii) between parallel flat plates is analyzed mathematically, treating blood as Herschel-Bulkley fluid model. The resulting system of nonlinear differential equations are solved with the appropriate boundary conditions, and the expressions for normalized velocity, concentration of the fluid in the core region and outer region, flow rate, and effective axial diffusivity are obtained. It is found that the normalized velocity of blood, relative diffusivity, and axial diffusivity of solutes are higher when blood is modeled by Herschel-Bulkley fluid rather than by Casson fluid model. It is also noted that the normalized velocity, relative diffusivity, and axial diffusivity of solutes are higher when blood flows through circular tube than when it flows between parallel flat plates.

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Alexandrou, Andreas N., Georgios C. Georgiou, Eva Athena Economides, and Michael Modigell. "Determining True Material Constants of Semisolid Slurries from Rotational Rheometer Data." Solid State Phenomena 256 (September 2016): 153–72. http://dx.doi.org/10.4028/www.scientific.net/ssp.256.153.

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In this work we revisit the issue of obtaining true material constants for semisolid slurries. Therefore, we consider the circular Couette flow of Herschel-Bulkley fluids. We first show how true constants can be obtained using an iterative procedure from experimental data to theory and vice versa. The validity of the assumption that the rate-of-strain distributions across the gap share a common point is also investigated. It is demonstrated that this is true only for fully-yielded Bingham plastics. In other cases, e.g., for partially-yielded Bingham plastics or fully-yielded Herschel-Bulkley materials, the common point for the fully-yielded Bingham case provides a good approximation for determining the material constants only if the gap is sufficiently small. It can thus be used to simplify the iterative procedure in determining the material constants.

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Ku, Jian Gang, Kui He, Hui Huang Chen, and Wen Yuan Liu. "Rheological Properties of Sodium Metatungstate in Aqueous Solutions." Advanced Materials Research 960-961 (June 2014): 249–53. http://dx.doi.org/10.4028/www.scientific.net/amr.960-961.249.

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Sodium metatungstate (SMT) solution is an inorganic heavy liquid which is widely used in density fractionation. However, rheological properties of aqueous SMT solutions have never been fully researched. The objective of the present work was to study the rheological properties of aqueous SMT solutions and effects of temperature and density on the apparent viscosity. The steady flow experimental data was fitted using Herschel-Bulkley model. The results show that aqueous SMT solutions of different density are pseudoplastic fluids and the flow curves of SMT solutions were described by the Hershel-Bulkley equation. The apparent viscosity decreases monotonically with increasing temperature under the same density and increases exponentially with increasing density at the fixed temperature. Rheological properties of aqueous SMT solutions can be applied in the calculation of density fractionation efficiency and provides a theoretical basis for flow simulation.

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Kelessidis, Vassilios C., and Roberto Maglione. "Shear Rate Corrections for Herschel-Bulkley Fluids in Couette Geometry." Applied Rheology 18, no. 3 (June 1, 2008): 34482–1. http://dx.doi.org/10.1515/arh-2008-0010.

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AbstractA methodology is presented to invert the flow equation of a Herschel-Bulkley fluid in Couette concentric cylinder geometry, thus enabling simultaneous computation of the true shear rates, γ̇HB, and of the three Herschel-Bulkley rheological parameters. The errors made when these rheological parameters are computed using Newtonian shear rates, γ̇N, as it is normal practice by research and industry personnel, can then be estimated. Quantification of these errors has been performed using narrow gap viscometer data from literature, with most of them taken with oil-field rheometers. The results indicate that significant differences exist between the yield stress and the flow behavior index computed using γ̇HB versus the parameters obtained using γ̇N and this is an outcome of the higher γ̇HB values. Predicted true shear rates and rheological parameters are in very good agreement with results reported by other investigators, who have followed different approaches to invert the flow equation, both for yield-pseudoplastic and power-law fluids.

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Journal articles on the topic 'Bulkley'

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