Influence of Nanoparticles Phenomena on the Peristaltic Flow of Pseudoplastic Fluid in an Inclined Asymmetric Channel with Different Wave Forms

Document Type: Research Article


1 Department of Basic Sciences, MCS, National University of Sciences and technology, Islamabad, Pakistan

2 Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, PAKISTAN


The influence of nanofluid with different wave forms in the presence of inclined asymmetric channel on peristaltic transport of a pseudoplastic fluid is examined. The governing equations for two dimensional and two directional flows of a pseudoplastic fluid along with nanofluid are modeled and then simplified under the assumptions of long wavelength and low Reynolds number approximation. The exact solutions for temperature and nano particle volume fraction are calculated. Series solution of the stream function and pressure gradient are carried out using perturbation technique. The flow quantities have been examined for various physical parameters of interest. It was found that the magnitude value of the velocity profile decreases with an increase in Q and Z and increases in sinusoidal, multisinsoidal, trapezoidal and triangular waves. It was also observed that the size of the trapping bolus decreases with the decrease in the width of the channel d and increases with an increase inx.


Main Subjects

[2] Selvakumar P., Suresh S., Convective Performance of CuO/Water Nanofluid in an Electronic Heat Sink, Experimental Thermal and Fluid Science, 40: 57-63 (2012).

[3] Bachok N., Ishak A., Pop I., Boundary-Layer Flow of Nanofluids Over a Moving Surface in a Flowing Fluid, International Journal of Thermal Sciences, 49: 1663-1668 (2010).

[4] Aziz A., Khan W.A., Natural Convective Boundary Layer Flow of a Nanofluid Past a Convectively Heated Vertical Plate, International Journal of Thermal Sciences, 52: 83-90 (2012).

[6] Rahman S.U., Ellahi R., Nadeem S., Zaigham Zia Q.M., Simultaneous Effects of Nanoparticles and Slip on Jeffrey Fluid Through Tapered Artery with Mild Stenosis, Journal of Molecular Liquids, 218: 484-493 (2016).

[7] Sheikholeslami M., Ellahi R., Electrohydrodynamic Nanofluid Hydrothermal Treatment in an Enclosure with Sinusoidal Upper Wall, Applied Sciences, 5: 294-306 (2015).

[8] Noreen Sher Akbar, Raza M., Ellahi R., Influence of Induced Magnetic Field and Heat Flux with the Suspension of Carbon Nanotubes for the Peristaltic Flow in a Permeable Channel, Journal of Magnetism and Magnetic Materials, 381: 405-415 (2015).

[9] Ellahi R., Hassan M., Zeeshan A., Study of Natural Convection MHD Nanofluid by Means of Single and Multi-Walled Carbon Nanotubes Suspended in a Salt-Water Solution, IEEE Transactions on Nanotechnology, 14: 726-734 (2015).

[10] Sheikholeslami M., Ellahi R., Three Dimensional Mesoscopic Simulation of Magnetic Field Effect on Natural Convection of Nanofluid, International Journal of Heat and Mass Transfer, 89: 799-808 (2015).

[11] Ellahi R., Hassan M., Zeeshan A., Shape Effects of Nanosize Particles in Cu-H2O Nanofluid on Entropy Generation, International Journal of Heat and Mass Transfer, 81: 449-456 (2015).

[12] Sheikholeslami M., Ganjia D.D., Younus Javed M., Ellahi R., Effect of Thermal Radiation on Magnetohydrodynamics Nanofluid Flow and Heat Transfer by Means of Two Phase Model, Journal of Magnetism and Magnetic Materials, 374: 36-43 (2015).

[13] Latham T.W., “Fluid Motion in a Peristaltic Pump”, MSc. Thesis, MIT, Cambridge, MA..

[14] Eytan O., Jaffa A.J., Elad D., Peristaltic Flow in a Tapered Channel: Application to Embryo Transport Within the Uterine Cavity, Medical Engineering and Physics, 23: 475-484 (2001).

[15] Tripathi D., Peristaltic Transport of a Viscoelastic Fluid in a Channel, Acta Astronautica, 68: 1379-1385 (2011).

[16] Kothandapani M., Srinivas S., Non-Linear Peristaltic Transport of a Newtonian Fluid in an Inclined Asymmetric Channel Through a Porous Medium, Physics Letters A, 372: 1265-1276 (2008).

[17] Srinivas S., Gayathri R., Kothandapani M., Mixed Convective Heat and Mass Transfer in an Asymmetric Channel with Peristalsis, Communications in Nonlinear Science and Numerical Simulation, 16: 1845-1862 (2011).

[18] Yldrm A., Sefa Anl Sezer, Effects of Partial Slip on the Peristaltic Plow of a MHD Newtonian Fluid in an Asymmetric Channel, Mathematical and Computer Modeling, 52: 618-625 (2010).

[19] Nadeem S., Akbar N.S., Influence of Heat and Mass Transfer on a Peristaltic Motion of a Jeffrey-Six Constant Fluid in an Annulus, Heat and Mass Transfer, 46: 485-493 (2010).

[20] Haroun M.H., Non-Linear Peristaltic Flow of a Fourth Grade Fluid in an Inclined Asymmetric Channel, Computer Material Science, 39: 324-333 (2007).

[21] Haroun M.H., Effect of Deborah Number and Phase Difference on Peristaltic Transport of a Third Order Fluid in an Asymmetric Channel, Communications in Nonlinear Science and Numerical Simulation, 12: 1464-1480 (2007).

[22] Zeeshan A., Majeed A., Ellahi R., Effect of Magnetic Dipole on Viscous Ferro-Fluid Past a Stretching Surface with Thermal Radiation, Journal of Molecular Liquids, 215: 549-554 (2016).

[23] Rashidi S., Dehghan M., Ellahi R., Riaz M., Jamal-Abad M.T., Study of Stream Wise Transverse Magnetic Fluid Flow with Heat Transfer Around an Obstacle Embedded in a Porous Medium, Journal of Magnetism and Magnetic Materials, 378: 128-137.

[24] Sheikholeslami M., Ellahi R., Simulation of Ferrofluid Flow for Magnetic Drug Targeting Using the Lattice Boltzmann Method, Zeitschrift für Naturforschung A, 70: 115-124 (2015).

[26] Nadeem S., Akram S., Slip Effects on the Peristaltic Flow of a Jeffrey Fluid in an Asymmetric Channel Under the Effect of Induced Magnetic Field, International Journal for Numerical Methods in Fluids, 63: 374-394 (2010).