Peristaltic flow of a Jeffery fluid over a porous conduit in the presence of variable liquid properties and convective boundary conditions

G. Manjunatha, C. Rajashekhar, K. V. Prasad, Hanumesh Vaidya, Saraswati

Research output: Contribution to journalArticle

Abstract

The present article addresses the peristaltic flow of a Jeffery fluid over an inclined axisymmetric porous tube with varying viscosity and thermal conductivity. Velocity slip and convective boundary conditions are considered. Resulting governing equations are solved using long wavelength and small Reynolds number approximations. The closed-form solutions are obtained for velocity, streamline, pressure gradient, temperature, pressure rise, and frictional force. The MATLAB numerical simulations are utilized to compute pressure rise and frictional force. The impacts of various physical parameters in the interims for time-averaged flow rate Q with pressure rise P 0 and P 0 is examined. The consequences of sinusoidal, multi-sinusoidal, triangular, trapezoidal, and square waveforms on physiological parameters are analyzed and discussed through graphs. The analysis reveals that the presence of variable viscosity helps in controlling the pumping performance of the fluid.

Original languageEnglish
JournalInternational Journal of Thermofluid Science and Technology
Volume6
Issue number2
DOIs
Publication statusPublished - 01-01-2019

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Boundary conditions
boundary conditions
Fluids
fluids
Liquids
liquids
Viscosity
viscosity
Pressure gradient
pressure gradients
MATLAB
Thermal conductivity
Reynolds number
waveforms
pumping
slip
thermal conductivity
flow velocity
Flow rate
tubes

All Science Journal Classification (ASJC) codes

  • Fluid Flow and Transfer Processes
  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

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abstract = "The present article addresses the peristaltic flow of a Jeffery fluid over an inclined axisymmetric porous tube with varying viscosity and thermal conductivity. Velocity slip and convective boundary conditions are considered. Resulting governing equations are solved using long wavelength and small Reynolds number approximations. The closed-form solutions are obtained for velocity, streamline, pressure gradient, temperature, pressure rise, and frictional force. The MATLAB numerical simulations are utilized to compute pressure rise and frictional force. The impacts of various physical parameters in the interims for time-averaged flow rate Q with pressure rise P 0 and P 0 is examined. The consequences of sinusoidal, multi-sinusoidal, triangular, trapezoidal, and square waveforms on physiological parameters are analyzed and discussed through graphs. The analysis reveals that the presence of variable viscosity helps in controlling the pumping performance of the fluid.",
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Peristaltic flow of a Jeffery fluid over a porous conduit in the presence of variable liquid properties and convective boundary conditions. / Manjunatha, G.; Rajashekhar, C.; Prasad, K. V.; Vaidya, Hanumesh; Saraswati.

In: International Journal of Thermofluid Science and Technology, Vol. 6, No. 2, 01.01.2019.

Research output: Contribution to journalArticle

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T1 - Peristaltic flow of a Jeffery fluid over a porous conduit in the presence of variable liquid properties and convective boundary conditions

AU - Manjunatha, G.

AU - Rajashekhar, C.

AU - Prasad, K. V.

AU - Vaidya, Hanumesh

AU - Saraswati,

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AB - The present article addresses the peristaltic flow of a Jeffery fluid over an inclined axisymmetric porous tube with varying viscosity and thermal conductivity. Velocity slip and convective boundary conditions are considered. Resulting governing equations are solved using long wavelength and small Reynolds number approximations. The closed-form solutions are obtained for velocity, streamline, pressure gradient, temperature, pressure rise, and frictional force. The MATLAB numerical simulations are utilized to compute pressure rise and frictional force. The impacts of various physical parameters in the interims for time-averaged flow rate Q with pressure rise P 0 and P 0 is examined. The consequences of sinusoidal, multi-sinusoidal, triangular, trapezoidal, and square waveforms on physiological parameters are analyzed and discussed through graphs. The analysis reveals that the presence of variable viscosity helps in controlling the pumping performance of the fluid.

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