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Optimal Homotopy Asymptotic Method for Flow and Heat Transfer of a Viscoelastic Fluid in an Axisymmetric Channel with a Porous Wall  [PDF]
Fazle Mabood, Waqar A. Khan, Ahmad Izani Ismail
PLOS ONE , 2013, DOI: 10.1371/journal.pone.0083581
Abstract: In this article, an approximate analytical solution of flow and heat transfer for a viscoelastic fluid in an axisymmetric channel with porous wall is presented. The solution is obtained through the use of a powerful method known as Optimal Homotopy Asymptotic Method (OHAM). We obtained the approximate analytical solution for dimensionless velocity and temperature for various parameters. The influence and effect of different parameters on dimensionless velocity, temperature, friction factor, and rate of heat transfer are presented graphically. We also compared our solution with those obtained by other methods and it is found that OHAM solution is better than the other methods considered. This shows that OHAM is reliable for use to solve strongly nonlinear problems in heat transfer phenomena.
Peristaltic transport of Bingham fluid in aChannel with permeable walls  [PDF]
K.Chakradhar,,T.V.A.P.Sastry,S.Sreenadh
International Journal of Innovative Technology and Creative Engineering , 2012,
Abstract: Peristaltic transport of a Bingham fluid in a channel with permeable walls is studied under long wavelength and low Reynolds number assumptions. This model can be applied to the blood flow in the sense that erythrocytes region and the plasma regions may be described as plug flow and non-plug flow regions. The effect of yields stress, Darcy number and slip parameter on the pumping characteristics are discussed through graphs.
Characteristics of a hydraulic jump in Bingham fluid  [PDF]
Jian-Jun Shu,Jian Guo Zhou
Physics , 2014, DOI: 10.1080/00221686.2006.9521693
Abstract: In this paper, we seek an adequate macroscopic model for a hydraulic jump in Bingham fluid. The formulas for conjugate depths, sequent bottom shear stress and critical depth are established. Since no exact analytical solution in closed form is available for conjugate depths, an approximate formula is developed. This formula can provide good results with an error less than 4%. The analytical results have revealed that the critical depth and the ratio of conjugate depths increase until bottom shear stress exceeds a certain value and then decrease afterwards. The bottom shear stress downstream of the jump is smaller than that upstream. The results are verified by experimental data and observations available in the literature.
Application of Brinkman model to the unsteady flow of Bingham fluid in contact with Newtonian fluid  [PDF]
Y. V. K. Ravi Kumar,M. V. Ramana Murthy,S. Sreenadh,S. Rajender
Journal of Engineering and Applied Sciences , 2009,
Abstract: Unsteady flow of a Bingham fluid in contact with a Newtonian fluid between two permeable beds of different permeabilities is studied. We used the Brinkman model for this problem. Expressions for the interface velocity, velocity distributions in the porous and non-porous regions and mass flow rate are obtained. These expressions are evaluated numerically for different values of the parameters.
Vibration of two equal-radius protein bubbles in Bingham fluid
两个等径蛋白质气泡在Bingham流体中振动特性

Wang Hai-Min,Ma Jian-Min,Zhang Wen,
王海民
,马建敏,张文

物理学报 , 2010,
Abstract: Based on the finite deformation equation of protein bubble with viscoelastic film, and taking into account the Bjerknes effect that one oscillating bubble acts on the ather in Bingham liquid, a nonlinear equation describing the vibration of two equal-radius protein bubbles in Bingham fluid is built. The numerical simulation is used to solve the above nonlinear equation. The results show that, increasing the plastic viscosity of Bingham liquid the protein bubble wall will vibrate with higher decrement velocity of amplitude, and with lower frequency; shortening the distance between bubbles, the bubble wall will vibrate with a higher frequency and a higher decrement velocity of amplitude. Furthermore, the smaller the bubble size is, the higher the increment of frequency and decrement velocity of amplitude are. The two bubbles in Bingham fluid will vibrate with higher frequency and higher decrement velocity of amplitude than that of a single bubble.
Peristaltic transport of Conducting Bingham fluid in contact with a Newtonian fluid in a channel
M.Arun kumar,S.Sreenadh,A.N.S.Srinivas,S.Venkata Ramana
International Journal of Engineering Science and Technology , 2013,
Abstract: Peristaltic pumping by a sinusoidal traveling wave in the walls of a two dimensional channel filled with two immiscible fluids with magnetic effect is investigated. The core region of the channel is occupied by a Bingham fluid where as the peripheral region is occupied by a Newtonian fluid. The flow is examined in a wave frame of reference moving with the velocity of the wave. The expressions for the stream function, the velocity and the pressure rise are obtained. The equation for the interface separating the two fluids is obtained. Numerical results are reported for several of the physical parameters of interest. We observed that the lower values of
Predictive Control for Earthquake Response Mitigation of Buildings Using Semiactive Fluid Dampers  [PDF]
F. Oliveira,P. Morais,A. Suleman
Shock and Vibration , 2014, DOI: 10.1155/2014/670683
Abstract: A predictive control strategy in conjunction with semiactive control algorithms is proposed for damping control of base-isolated structures employing semiactive fluid dampers when subjected to earthquake loads. The controller considers the delays resulting from the device’s dynamics and an observer for state estimation. Twenty artificial accelerograms were generated according to the Eurocode 8 for the Portuguese territory and considered for the numerical simulations of the base-isolated structure representative model. The results of a parametric study on a single degree of freedom model provide an indication for controller design in this type of problems. To evaluate the effectiveness of the proposed strategies, the response of a 10-storey base-isolated dual frame-wall building employing semiactive systems is compared with the original, passive solution and with an earlier proposed optimal controller for this type of problems. It is shown that a well-tuned controller could outperform the original structure, the structural system with a passive device (optimized) as well as with the semiactive optimal controller, in terms of relative displacement and absolute acceleration reductions. 1. Introduction Civil engineering structures are usually built as passive structures with no adaptability to uncertain dynamic loads like earthquakes [1]. For structures that should be operational during and immediately after the occurrence of those events, such as hospitals, energy power stations, communication centres, civil protection, and fire station buildings, among others, special precautions should be taken. It is intended that structural relative displacements (interstorey drifts) and accelerations are small in order to avoid damage and protect sensitive equipments from induced vibrations [2, 3]. New systems integrated in structures have been proposed to protect them against earthquakes with passive, semiactive, and active control technologies [4]. Semiactive (SA) control systems have received much attention in recent years due to some notable advantages: capacity of adapting its characteristics in real time, better overall performance when compared with passive devices, and lower operational power requirements, thus allowing for battery operation. Semiactive devices are seen as controllable passive devices that allow for adjustment of its mechanical characteristics (damping, stiffness) in real time [5]. Magnetorheological (MR) and fluid viscous dampers (FVD) are typical examples of semiactive devices. MR fluids consist of micron-sized particles in a carrier fluid
Asymptotic Matrix Variate von-Mises Fisher and Bingham Distributions with Applications  [PDF]
Lu Wei,Jukka Corander
Statistics , 2015,
Abstract: Probability distributions in Stiefel manifold such as the von-Mises Fisher and Bingham distributions find diverse applications in signal processing and other applied sciences. Use of these statistical models in practice is complicated by the difficulties in numerical evaluation of their normalization constants. In this letter, we derive asymptotical approximations to the normalization constants via recent results in random matrix theory. The derived approximations take simple forms and are reasonably accurate in regimes of practical interest. As an application, we show that the proposed analytical results lead to a remarkably reduction of the sampling complexity compared to existing simulation based approaches.
Unsteady MHD flow of a dusty non-Newtonian Bingham fluid through a circular pipe
Attia, Hazem A.;
Journal of the Brazilian Society of Mechanical Sciences and Engineering , 2006, DOI: 10.1590/S1678-58782006000300003
Abstract: in this paper, the transient magnetohydrodynamic (mhd) flow of a dusty incompressible electrically conducting non-newtonian bingham fluid through a circular pipe is studied taking the hall effect into consideration. a constant pressure gradient in the axial direction and an uniform magnetic field directed perpendicular to the flow direction are applied. the particle-phase is assumed to behave as a viscous fluid. a numerical solution is obtained for the governing nonlinear equations using finite differences.
Unsteady MHD flow of a dusty non-Newtonian Bingham fluid through a circular pipe  [cached]
Attia Hazem A.
Journal of the Brazilian Society of Mechanical Sciences and Engineering , 2006,
Abstract: In this paper, the transient magnetohydrodynamic (MHD) flow of a dusty incompressible electrically conducting non-Newtonian Bingham fluid through a circular pipe is studied taking the Hall effect into consideration. A constant pressure gradient in the axial direction and an uniform magnetic field directed perpendicular to the flow direction are applied. The particle-phase is assumed to behave as a viscous fluid. A numerical solution is obtained for the governing nonlinear equations using finite differences.
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