Peristaltic pumping of a Herschel–Bulkley fluid in a channel

Vajravelu, K.; Sreenadh, S.; Babu, V. Ramesh

doi:10.1016/j.amc.2004.09.063

Cited by 64 publications

(39 citation statements)

References 7 publications

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“…The above equation (19) gives the volume flux for a tube of varying radius . Using the fact that the variation occurs due to elasticity of the tube wall, we assume the Poisseuille law for Herschel-Bulkley fluid flow in an elastic tube and discuss the consequences in the next section.…”

Section: Solution Of the Problemmentioning

confidence: 99%

“…The effect of catheterization on various physiologically important flow characteristics for blood flow was studied theoretically by Sankar and Hemalatha [18]. Recently, Vajravelu et al [19] studied the peristaltic pumping of a Herschel-Bulkley fluid in an inclined tube. Available literature on non-Newtonain fluid model namely, HerschelBulkley fluid model with low shear rates [20][21][22][23][24][25] under different physical situations shows that not much work has been carried out with elastic tubes.…”

Section: Introductionmentioning

confidence: 99%

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Mathematical model for a Herschel-Bulkley fluid flow in an elastic tube

et al. 2011

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Abstract:The constitution of blood demands a yield stress fluid model, and among the available yield stress fluid models for blood flow, the Herschel-Bulkley model is preferred (because Bingham, Power-law and Newtonian models are its special cases). The Herschel-Bulkley fluid model has two parameters, namely the yield stress and the power law index. The expressions for velocity, plug flow velocity, wall shear stress, and the flux flow rate are derived. The flux is determined as a function of inlet, outlet and external pressures, yield stress, and the elastic property of the tube. Further when the power-law index = 1 and the yield stress τ 0 → 0, our results agree well with those of Rubinow and Keller [J. Theor. Biol. 35, 299 (1972)]. Furthermore, it is observed that, the yield stress and the elastic parameters ( 1 and 2 ) have strong effects on the flux of the non-Newtonian fluid flow in the elastic tube. The results obtained for the flow characteristics reveal many interesting behaviors that warrant further study on the non-Newtonian fluid flow phenomena, especially the shear-thinning phenomena. Shear thinning reduces the wall shear stress.

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Section: Solution Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mathematical model for a Herschel-Bulkley fluid flow in an elastic tube

et al. 2011

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“…In addition peristaltic transport occurs in many practical applications involving biomechanical systems, such as roller and finger pumps. After the first investigation of Latham [1], a number of researchers have discussed the peristaltic phenomenon, experimentally, numerically, and analytically [2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Numerical solutions of peristaltic flow of Williamson fluid with radially varying MHD in an endoscope

Nadeem

Akbar

2011

Numerical Methods in Fluids

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SUMMARYIn this article we have studied the peristaltic motion of an incompressible Williamson fluid with constant and radially varying magnetohydrodynamics (MHD) in an endoscope. Using the low Reynolds and long wavelength assumptions, the equations of Williamson fluid model in simplified form are solved using (i) the HAM method and (ii) the Shooting method. The comparisons of both solutions have been found a very good agreement. Graphical results have been presented for various emerging parameters. q British Crown

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“…A few recent investigations on this topic have been reported in Refs. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Peristaltic motion of Phan–Thien–Tanner fluid in the presence of slip condition

2011

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This investigation considers the peristaltic flow of a Phan-Thien-Tanner fluid in the presence of slip condition and induced magnetic field. By use of the long wavelength and low Reynolds number approximations, closed form series solutions for stream function, pressure gradient, magnetic force function, axial induced magnetic field, and current density were obtained. The pressure gradient and frictional forces per wavelength were computed by numerical integration. The velocity slip condition in terms of shear stress is taken into account. Graphical results show the comparison between no-slip and viscous fluid cases. Pumping and trapping phenomena are discussed.

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Peristaltic pumping of a Herschel–Bulkley fluid in a channel

Cited by 64 publications

References 7 publications

Mathematical model for a Herschel-Bulkley fluid flow in an elastic tube

Mathematical model for a Herschel-Bulkley fluid flow in an elastic tube

Numerical solutions of peristaltic flow of Williamson fluid with radially varying MHD in an endoscope

Peristaltic motion of Phan–Thien–Tanner fluid in the presence of slip condition

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