Safia Akram

Influence of inclined magnetic field on peristaltic flow of a Williamson fluid model in an inclined symmetric or asymmetric channel

In this paper the influence of inclined magnetic field on the peristaltic flow of a Williamson fluid in an inclined symmetric or asymmetric channel has been investigated initially in the wave frame of reference. The highly nonlinear equations are simplified under lubrication approach. The analytical and numerical solutions of the proposed problem have been computed and analyzed. The graphical results are displayed to see the effects of various physical parameters of interest.

Peristaltic Transport of a Hyperbolic Tangent Fluid Model in an Asymmetric Channel

In the present analysis, we have modeled the governing equations of a two dimensional hyperbolic tangent fluid model. Using the assumption of long wavelength and low Reynolds number, the governing equations of hyperbolic tangent fluid for an asymmetric channel have been solved using the regular perturbation method. The expression for pressure rise has been calculated using numerical integrations. At the end, various physical parameters have been shown pictorially. It is found that the narrow part of the channel requires a large pressure gradient, also in the narrow part the pressure gradient decreases with the increase in Weissenberg number We and channel width d.

Significance of Nanofluid and Partial Slip on the Peristaltic Transport of a Non-Newtonian Fluid with Different Wave Forms

In this study, we present the new investigations on the combined effect of partial slip and nanofluid on the peristaltic transport of a Jeffrey fluid model in an asymmetric channel. Mathematical formulation of the present problem is first given and then simplified under the conjecture of long wave length and low Reynolds number approximation. The homotopy perturbation technique is used to calculate the solution of the coupled nonlinear equations of temperature and nanoparticle volume fraction. The exact solution of the momentum equation is calculated using the solutions of temperature and nanoparticle volume fraction. In the end, the graphical results of the proposed problem are discussed to study the behavior of the emerging parameters.

Peristaltic Flow of a Carreau Fluid in a Rectangular Duct

In the present investigation we have studied the peristaltic flow of a Carreau fluid in a rectangular duct. The flow is investigated in the wave frame of reference moving with the velocity c away from the fixed frame. The peristaltic wave propagating on the horizontal side walls of a rectangular duct is studied under long wave length and low Reynolds number approximation. The analytical solutions of velocity and pressure gradient have been found under lubrication approach with the help of Homotopy perturbation method. Graphical results are displayed to see the behavior of various emerging parameters of Carreau fluid. The comparison of the present work is also made with the existing literature. [DOI: 10.1115/1.4005727]

Effects of partial slip on the peristaltic transport of a hyperbolic tangent fluid model in an asymmetric channel

In the present analysis, we have modeled the governing equations of two dimensional hyperbolic tangent fluid model under the assumptions of long wavelength and low Reynolds number. The flow is investigated in a wave frame of reference moving with the velocity of the wave. The governing equations of hyperbolic tangent fluid have been solved using regular perturbation method. The expression for pressure rise has been calculated using numerical integrations. The behavior of different physical parameters have been discussed graphically.

Effects of slip and heat transfer on a peristaltic flow of a Carreau fluid in a vertical asymmetric channel

In the present paper the results of numerical modeling of peristaltic flow of a Carreau fluid in a vertical asymmetric channel are presented. The effects of slip and heat transfer have been analyzed. Using the approximation of long wavelength, low Reynolds number and with the suitable dimensionless variables, the reduced equations have been solved analytically by regular perturbation method. The expressions for velocity, stream function, temperature, pressure gradient and pressure rise have been computed which strongly depend on the physical parameters of the Carreau fluid. With the help of analytical results the expression for pressure rise has been computed using numerical integration scheme. To reveal the tendency of the solutions, typical results for velocity, temperature, stream function, pressure gradient and pressure rise are presented for different values of controlling parameters.

Peristaltic transport of a Maxwell fluid in a porous asymmetric channel through a porous medium

Abstract The present study investigates the peristaltic flow of a Maxwell fluid in a porous asymmetric channel through a porous medium. An analytical solution has been found using regular perturbation method. The stream function and average mean velocity are obtained. The graphical results are presented to discuss the physical behavior of various parameters appearing in the problem.

Limited frequency interval Gramians based model reduction for nonsingular generalized systems

Limited frequency interval Gramians based model reduction technique for generalized nonsingular systems is presented. The technique extends results of existing limited frequency interval Gramians schemes for standard systems. Numerical examples are also included.

Influence of Heat Transfer and Magnetic Field on a Peristaltic Transport of a Jeffrey Fluid in an Asymmetric Channel with Partial Slip

In the present paper, we have studied the influence of heat transfer and magnetic field on a peristaltic transport of a Jeffrey fluid in an asymmetric channel with partial slip. The complicated Jeffrey fluid equations are simplified using the long wave length and low Reynolds number assumptions. In the wave frame of reference, an exact and closed form of Adomian solution is presented. The expressions for pressure drop, pressure rise, stream function, and temperature field have been calculated. The behaviour of different physical parameters has been discussed graphically. The pumping and trapping phenomena of various wave forms (sinusoidal, multisinusoidal, square, triangular, and trapezoidal) are also studied.

Influence of Lateral Walls on Peristaltic Flow of a Third Grade Fluid in a Rectangular Duct

In the present study we have discussed the influence of lateral walls on peristaltic flow of a third grade fluid in a rectangular duct. The mathematical equations of the third grade fluid for the rectangular duct are first modeled and then simplified under the assumptions of long wave length and low Reynolds number approximation. The reduced equations are solved analytically using Homotopy perturbation method and the Eigen function expansion method. The graphical results of the present problem are also discussed to see the effects of various emerging parameters. It is observed that with an increase in third grade parameter the pressure rise, pressure gradient and number of the trapping bolus decreases.