A mathematical study of peristaltic transport of a casson fluid

Mernone, A. V.; Mazumdar, J.; Lucas, Stephen K.

doi:10.1016/s0895-7177(02)00058-4

Cited by 121 publications

(58 citation statements)

References 19 publications

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“…Sreenadh et al (2011) studied the flow of a Casson fluid through an inclined tube of non uniform cross-section with multiple stenoses. Mernone and Mazumdar (2002) discussed the peristaltic transport of a Casson fluid. Porwal and Badshah (2012) work on steady blood flow with Casson fluid along an inclined plane influenced by the gravity force.…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD Slip Flow of a Non-Newtonian Casson Fluid due to Stretching Sheet with Suction or Blowing Effect

Mahdy¹

2016

JAFM

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In this contribution a numerical study is carried out to analyze the effect of slip at the boundary of unsteady two-dimensional MHD flow of a non-Newtonian fluid over a stretching surface having a prescribed surface temperature in the presence of suction or blowing at the surface. Casson fluid model is used to characterize the non-Newtonian fluid behavior. With the help of similarity transformations, the governing partial differential equations corresponding to the momentum and heat transfer are reduced to a set of non-linear ordinary differential equations, which are then solved for local similar solutions using the very robust computer algebra software MATLAB. The flow features and heat transfer characteristics for different values of the governing parameters are graphically presented and discussed in detail. Comparison with available results for certain cases is excellent. The effect of increasing values of the Casson parameter is seen to suppress the velocity field. But the temperature is enhanced with increasing Casson parameter. For increasing slip parameter, velocity increases and thermal boundary layer becomes thinner in the case of suction or blowing.

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Section: Introductionmentioning

confidence: 99%

Unsteady MHD Slip Flow of a Non-Newtonian Casson Fluid due to Stretching Sheet with Suction or Blowing Effect

Mahdy¹

2016

JAFM

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“…The exact analytical solutions of Casson fluid are obtained in many cases. Mernone et al (2002) discussed a mathematical study of peristaltic transport of a Casson fluid. Chamkha et al (2001) considered radiation effect on natural convection flow past a semi-infinite vertical plate with mass transfer.…”

Section: Introductionmentioning

confidence: 99%

Radiation Absorption and Chemical Reaction Effects on MHD Flow of Heat Generating Casson Fluid Past Oscillating Vertical Porous Plate

Reddy¹,

Raju²,

Reddy³

2016

Frontiers in Heat and Mass Transfer

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“…The inertia controlled growth was presented by Rayleigh [14], who determined the first equation of motion for a spherical bubble growth (or collapse). The asymptotic solution, presented by Plesset and Zwick [15], considered thermal diffusion controlled growth, neglecting liquid inertia, and provided a zero-order approximate solution for the bubble wall temperature with the assumption of a thin thermal boundary layer with error of less than 10% [3]. Their solution [16] was in good agreement with the experimental data of Degarabedian [18] in moderately superheated water up to 6°C.…”

Section: Introductionmentioning

confidence: 76%

“…This mechanism also occurs in many applications involving bio-mechanical systems such as finger and roller pumps. Heart lung machines blood pump machines, dialysis machine and also transport of noxious fluid in nuclear industries [3]. In recent years, considerable efforts have been usefully devoted to the study of peristaltic flow of non-Newtonian fluids because a practical and fundamental constitutive relation that can be used for all fluids and flow is not available.…”

Section: Introductionmentioning

confidence: 99%

The Peristaltic Motion inside a Vertical Cylindrical Tube Surrounded Vapour Bubble with Two-Phase Density Flow

Mohammadein¹

2017

ABB

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Abstract:The paper presents the growth of vapour bubble in a viscous, superheated liquid. The growth of vapour bubble between two-phase density flow in a vertical cylindrical tube under the effect of peristaltic motion of long wavelength and low Reynolds number is studied. The mathematical model is formulated by mass, momentum, and heat equations. The analytical solution is obtained for temperature and velocity distribution under the effect of different physical parameters. The growth process is studied under the affected of density ratio ε and amplitude ratio e. Moreover, the relation between the bubble radius R with the density ratio E, and amplitude ratio are obtained. Theseresults agreement with some previous theoretical efforts.

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A mathematical study of peristaltic transport of a casson fluid

Cited by 121 publications

References 19 publications

Unsteady MHD Slip Flow of a Non-Newtonian Casson Fluid due to Stretching Sheet with Suction or Blowing Effect

Unsteady MHD Slip Flow of a Non-Newtonian Casson Fluid due to Stretching Sheet with Suction or Blowing Effect

Radiation Absorption and Chemical Reaction Effects on MHD Flow of Heat Generating Casson Fluid Past Oscillating Vertical Porous Plate

The Peristaltic Motion inside a Vertical Cylindrical Tube Surrounded Vapour Bubble with Two-Phase Density Flow

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