Library Subscription: Guest

THE EFFECTS OF VARIABLE VISCOSITY ON THE PERISTALTIC FLOW OF NON-NEWTONIAN FLUID THROUGH A POROUS MEDIUM IN AN INCLINED CHANNEL WITH SLIP BOUNDARY CONDITIONS

Volume 16, Issue 1, 2013, pp. 59-67
DOI: 10.1615/JPorMedia.v16.i1.60
Get accessGet access

ABSTRACT

The present paper investigates the peristaltic motion of an incompressible non-Newtonian fluid with variable viscosity through a porous medium in an inclined symmetric channel under the effect of the slip condition. A long wavelength approximation is used in mathematical modeling. The system of the governing nonlinear partial differential equation has been solved by using the regular perturbation method and the analytical solutions for velocity and pressure rise have been obtained in the form of stream function. In the obtained solution expressions, the long wavelength and low Reynolds number assumptions are utilized. The salient features of pumping and trapping phenomena are discussed explicitly. The flow is investigated in a wave frame of reference moving with velocity of the wave. The features of the flow characteristics are analyzed by plotting the graphs of various values of the physical parameters in detail.

CITED BY
  1. Atangana Abdon, Drawdown in prolate spheroidal–spherical coordinates obtained via Green’s function and perturbation methods, Communications in Nonlinear Science and Numerical Simulation, 19, 5, 2014. Crossref

  2. Nadeem S., Haq Rizwan Ul, Akbar Noreen Sher, Khan Z.H., MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet, Alexandria Engineering Journal, 52, 4, 2013. Crossref

  3. Mekheimer Kh.S., Salem A.M., Zaher A.Z., Peristatcally induced MHD slip flow in a porous medium due to a surface acoustic wavy wall, Journal of the Egyptian Mathematical Society, 22, 1, 2014. Crossref

  4. Baoku I.G., Olajuwon B.I., Mustapha A.O., Heat and mass transfer on a MHD third grade fluid with partial slip flow past an infinite vertical insulated porous plate in a porous medium, International Journal of Heat and Fluid Flow, 40, 2013. Crossref

  5. Jiang Changwei, Feng Wei, Zhong Hui, Zeng Junyong, Zhu Qiangming, Effects of a magnetic quadrupole field on thermomagnetic convection of air in a porous square enclosure, Journal of Magnetism and Magnetic Materials, 357, 2014. Crossref

  6. Hayat T., Bibi Shahida, Rafiq M., Alsaedi A., Abbasi F.M., Effect of an inclined magnetic field on peristaltic flow of Williamson fluid in an inclined channel with convective conditions, Journal of Magnetism and Magnetic Materials, 401, 2016. Crossref

  7. Makinde Oluwole, Eegunjobi Adetayo, Tshehla M., Thermodynamics Analysis of Variable Viscosity Hydromagnetic Couette Flow in a Rotating System with Hall Effects, Entropy, 17, 12, 2015. Crossref

  8. Hayat T., Iqbal R., Tanveer A., Alsaedi A., Variable Viscosity Effect on MHD Peristaltic Flow of Pseudoplastic Fluid in a Tapered Asymmetric Channel, Journal of Mechanics, 34, 3, 2018. Crossref

  9. Imran Muhammad A, Sarwar Shakila, Imran Muhammad, Effects of slip on free convection flow of Casson fluid over an oscillating vertical plate, Boundary Value Problems, 2016, 1, 2016. Crossref

  10. Bhatti M. M., Zeeshan A., Analytic study of heat transfer with variable viscosity on solid particle motion in dusty Jeffery fluid, Modern Physics Letters B, 30, 16, 2016. Crossref

  11. Sandeep N., Sulochana C., Momentum and heat transfer behaviour of Jeffrey, Maxwell and Oldroyd-B nanofluids past a stretching surface with non-uniform heat source/sink, Ain Shams Engineering Journal, 9, 4, 2018. Crossref

  12. Bhatti M.M., Zeeshan A., Ijaz N., Anwar Bég O., Kadir A., Mathematical modelling of nonlinear thermal radiation effects on EMHD peristaltic pumping of viscoelastic dusty fluid through a porous medium duct, Engineering Science and Technology, an International Journal, 20, 3, 2017. Crossref

  13. Ghosh Sushil Kumar, Flow of a Non-Newtonian Heated Fluid in a Tube with a Side Branch, International Journal of Applied and Computational Mathematics, 3, 3, 2017. Crossref

  14. Bhatti M.M., Zeeshan A., Ellahi R., Heat transfer analysis on peristaltically induced motion of particle-fluid suspension with variable viscosity: Clot blood model, Computer Methods and Programs in Biomedicine, 137, 2016. Crossref

  15. Abo Elkhair Rabea El Shennawy, Lie point symmetries for a magneto couple stress fluid in a porous channel with expanding or contracting walls and slip boundary condition, Journal of the Egyptian Mathematical Society, 24, 4, 2016. Crossref

  16. Farooq S., Awais M., Naseem Moniza, Hayat T., Ahmad B., Magnetohydrodynamic peristalsis of variable viscosity Jeffrey liquid with heat and mass transfer, Nuclear Engineering and Technology, 49, 7, 2017. Crossref

  17. Huda A. Bintul, Akbar Noreen Sher, Heat transfer analysis with temperature-dependent viscosity for the peristaltic flow of nano fluid with shape factor over heated tube, International Journal of Hydrogen Energy, 42, 39, 2017. Crossref

  18. Huda A. Bintul, Akbar Noreen Sher, Beg O. Anwar, Khan M. Yaqub, Dynamics of variable-viscosity nanofluid flow with heat transfer in a flexible vertical tube under propagating waves, Results in Physics, 7, 2017. Crossref

  19. Baranov A.V., Non-Isothermal Moulding of Composite Products with Impregnation of the Porous Layer, Polymers and Polymer Composites, 23, 9, 2015. Crossref

  20. Baranov A.V., Dakhin O.Kh., Combined Processes of Flow and Impregnation during the Moulding of Composite Articles, International Polymer Science and Technology, 43, 6, 2016. Crossref

  21. Walait Ahsan, Siddiqui A. M., Rana M. A., Biomechanics of the swimming of self-propelling spermatozoa through slippery human cervical canal, Acta Mechanica, 229, 7, 2018. Crossref

  22. Abbasi F.M., Shanakhat I., Shehzad S.A., Entropy generation analysis for peristalsis of nanofluid with temperature dependent viscosity and Hall effects, Journal of Magnetism and Magnetic Materials, 474, 2019. Crossref

  23. Baranov A.V., The Filling of a Mould Cavity with Simultaneous Impregnation of the Reinforcing Porous Layer, Polymers and Polymer Composites, 23, 2, 2015. Crossref

  24. Vaidya Hanumesh, Choudhari Rajashekhar, Gudekote Manjunatha, Prasad Kerehalli Vinayaka, Effect of variable liquid properties on peristaltic transport of Rabinowitsch liquid in convectively heated complaint porous channel, Journal of Central South University, 26, 5, 2019. Crossref

  25. Saeed Anwar, Islam Saeed, Dawar Abdullah, Shah Zahir, Kumam Poom, Khan Waris, Influence of Cattaneo–Christov Heat Flux on MHD Jeffrey, Maxwell, and Oldroyd-B Nanofluids with Homogeneous-Heterogeneous Reaction, Symmetry, 11, 3, 2019. Crossref

  26. Krautbauer Kevin, Sparrow Eph, Gorman John, A Structural and Fluid-Flow Model for Mechanically Driven Peristaltic Pumping With Application to Therapeutic Drug Delivery, Journal of Fluids Engineering, 139, 11, 2017. Crossref

  27. Manjunatha G., Rajashekhar C., Prasad K. V., Vaidya Hanumesh, Saraswati , Peristaltic flow of a Jeffery fluid over a porous conduit in the presence of variable liquid properties and convective boundary conditions, International Journal of Thermofluid Science and Technology, 6, 2, 2019. Crossref

  28. Tariq H., Khan A. A., Zaman A., Theoretical Analysis of Peristaltic Viscous Fluid with Inhomogeneous Dust Particles, Arabian Journal for Science and Engineering, 46, 1, 2021. Crossref

  29. Aifen Li, Haojun Xie, Ke Tao, Gangzhu Li, Influence of Wall Structure on the Laminar Coupling Flow, Chemical Product and Process Modeling, 10, 3, 2015. Crossref

  30. Hayat T., Khan A.A., Bibi Farhat, Alsaedi A., Entropy minimization for magneto peristaltic transport of Sutterby materials subject to temperature dependent thermal conductivity and non-linear thermal radiation, International Communications in Heat and Mass Transfer, 122, 2021. Crossref

  31. Abumandour Ramzy M., Eldesoky Islam M., Kamel Mohamed H., Ahmed Mohamed M., Abdelsalam Sara I., Peristaltic thrusting of a thermal-viscosity nanofluid through a resilient vertical pipe, Zeitschrift für Naturforschung A, 75, 8, 2020. Crossref

  32. Vaidya H, Rajashekhar C, Manjunatha G, Prasad K V, Makinde O D, Vajravelu K, Heat and mass transfer analysis of MHD peristaltic flow through a complaint porous channel with variable thermal conductivity, Physica Scripta, 95, 4, 2020. Crossref

  33. Divya B.B., Manjunatha G., Rajashekhar C., Vaidya Hanumesh, Prasad K.V., Analysis of temperature dependent properties of a peristaltic MHD flow in a non-uniform channel: A Casson fluid model, Ain Shams Engineering Journal, 12, 2, 2021. Crossref

Forthcoming Articles

Effects of Momentum Slip and Convective Boundary Condition on a Forced Convection in a Channel Filled with Bidisperse Porous Medium (BDPM) Vanengmawia PC, Surender Ontela ON THERMAL CONVECTION IN ROTATING CASSON NANOFLUID PERMEATED WITH SUSPENDED PARTICLES IN A DARCY-BRINKMAN POROUS MEDIUM Pushap Sharma, Deepak Bains, G. C. Rana Effect of Microstructures on Mass Transfer inside a Hierarchically-structured Porous Catalyst Masood Moghaddam, Abbas Abbassi, Jafar Ghazanfarian Insight into the impact of melting heat transfer and MHD on stagnation point flow of tangent hyperbolic fluid over a porous rotating disk Priya Bartwal, Himanshu Upreti, Alok Kumar Pandey Numerical Simulation of 3D Darcy-Forchheimer Hybrid Nanofluid Flow with Heat Source/Sink and Partial Slip Effect across a Spinning Disc Bilal Ali, Sidra Jubair, Md Irfanul Haque Siddiqui Fractal model of solid-liquid two-phase thermal transport characteristics in the rough fracture network shanshan yang, Qiong Sheng, Mingqing Zou, Mengying Wang, Ruike Cui, Shuaiyin Chen, Qian Zheng Application of Artificial Neural Network for Modeling of Motile Microorganism-Enhanced MHD Tangent Hyperbolic Nanofluid across a vertical Slender Stretching Surface Bilal Ali, Shengjun Liu, Hongjuan Liu Estimating the Spreading Rates of Hazardous Materials on Unmodified Cellulose Filter Paper: Implications on Risk Assessment of Transporting Hazardous Materials Heshani Manaweera Wickramage, Pan Lu, Peter Oduor, Jianbang Du ELASTIC INTERACTIONS BETWEEN EQUILIBRIUM PORES/HOLES IN POROUS MEDIA UNDER REMOTE STRESS Kostas Davanas Gravity modulation and its impact on weakly nonlinear bio-thermal convection in a porous layer under rotation: a Ginzburg-Landau model approach Michael Kopp, Vladimir Yanovsky Pore structure and permeability behavior of porous media under in-situ stress and pore pressure: Discrete element method simulation on digital core Jun Yao, Chunqi Wang, Xiaoyu Wang, Zhaoqin Huang, Fugui Liu, Quan Xu, Yongfei Yang Influence of Lorentz forces on forced convection of Nanofluid in a porous lid driven enclosure Yi Man, Mostafa Barzegar Gerdroodbary SUTTERBY NANOFLUID FLOW WITH MICROORGANISMS AROUND A CURVED EXPANDING SURFACE THROUGH A POROUS MEDIUM: THERMAL DIFFUSION AND DIFFUSION THERMO IMPACTS galal Moatimid, Mona Mohamed, Khaled Elagamy CHARACTERISTICS OF FLOW REGIMES IN SPIRAL PACKED BEDS WITH SPHERES Mustafa Yasin Gökaslan, Mustafa Özdemir, Lütfullah Kuddusi Numerical study of the influence of magnetic field and throughflow on the onset of thermo-bio-convection in a Forchheimer‑extended Darcy-Brinkman porous nanofluid layer containing gyrotactic microorganisms Arpan Garg, Y.D. Sharma, Subit K. Jain, Sanjalee Maheshwari A nanofluid couple stress flow due to porous stretching and shrinking sheet with heat transfer A. B. Vishalakshi, U.S. Mahabaleshwar, V. Anitha, Dia Zeidan ROTATING WAVY CYLINDER ON BIOCONVECTION FLOW OF NANOENCAPSULATED PHASE CHANGE MATERIALS IN A FINNED CIRCULAR CYLINDER Noura Alsedais, Sang-Wook Lee, Abdelraheem Aly Porosity Impacts on MHD Casson Fluid past a Shrinking Cylinder with Suction Annuri Shobha, Murugan Mageswari, Aisha M. Alqahtani, Asokan Arulmozhi, Manyala Gangadhar Rao, Sudar Mozhi K, Ilyas Khan CREEPING FLOW OF COUPLE STRESS FLUID OVER A SPHERICAL FIELD ON A SATURATED BIPOROUS MEDIUM Shyamala Sakthivel , Pankaj Shukla, Selvi Ramasamy
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections Prices and Subscription Policies Begell House Contact Us Language English 中文 Русский Português German French Spain