ライブラリ登録: Guest
Begell Digital Portal Begellデジタルライブラリー 電子書籍 ジャーナル 参考文献と会報 リサーチ集
Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 1.4

ISSN 印刷: 1940-2503
ISSN オンライン: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2018024409
pages 269-283

NANOFLUID SLIP FLOW THROUGH POROUS MEDIUM WITH ELASTIC DEFORMATION AND UNIFORM HEAT SOURCE/SINK EFFECTS

A. K. Abdul Hakeem
Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India
R. Kalaivanan
Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India
B. Ganga
Department of Mathematics, Providence College for Women, Coonoor-643104, India
N. Vishnu Ganesh
Department of Mathematics, Ramakrishna Mission Vivekananda College, Chennai-600004, India

要約

The uniform heat source/sink effect on second-grade nanofluid flow over a stretching sheet embedded in Darcian porous medium is studied with elastic deformation. The partial slip, heat flux, and mass flux boundary conditions are considered. The magnetic field is applied in various directions. The nanofluid model is considered with viscoelasticity, Brownian motion and theromophosis mechanisms. Mathematical equations governing the problem are solved numerically using the fourth-order Runge-Kutta method with shooting iteration technique. The flow and heat transfer phenomena are analyzed through plots for various sets of physical parameters. It is found that the presence of elastic deformation and the uniform heat source increase the thickness of the nanofluid thermal and concentration boundary layers.

参考

  1. Abbasi, F.M., Shehzad, S.A., Hayat, T., Alsaedi, A., and Obid, M.A., Influence of Heat and Mass Flux Conditions in Hydromagnetic Flow of Jeffrey Nanofluid, AIP Advances, vol. 5, p. 037111, 2015.

  2. Abdul Hakeem, A.K., Vishnu Ganesh, N., and Ganga, B., Magnetic Field Effect on Second Order Slip Flow of Nanofluid over a Stretching/Shrinking Sheet with Thermal Radiation Effect, J. Magn. Magn. Mater., vol. 381, pp. 243–257, 2015.

  3. Abdul Hakeem, A.K., Ganga, B., Yusuff Ansari, S.M., Vishnu Ganesh, N., and Rahman, M.M., Nonlinear Studies on the Effect of Non-Uniform Heat Generation/Absorption on Hydromagnetic Flow of Nanofluid over a Vertical Plate, Nonlinear Anal. Model. Cont., vol. 22, no. 1, pp. 1–16, 2017.

  4. Abdul Hakeem, A.K., Saranya, S., and Ganga, B., Comparative Study on Newtonian/Non-Newtonian Base Fluids with Magnetic/Non-Magnetic Nanoparticles over a Flat Plate with Uniform Heat Flux, J. Mol. Liq., vol. 230, pp. 445–452, 2017.

  5. Ali, M., Alim, M.A., Nasrin, R., Alam, M.S., and Haque Munshi, M.J., Similarity Solution of Unsteady MHD Boundary Layer Flow and Heat Transfer past a Moving Wedge in a Nanofluid using the Buongiorno Model, Procedia Eng., vol. 194, pp. 407– 413, 2017.

  6. Benazir, A.J., Sivaraj, R., and Makinde, O.D., Unsteady Magnetohydrodynamic Casson Fluid Flow over a Vertical Cone and Flat Plate with Non-Uniform Heat Source/Sink, Int. J. Eng. Rese. Africa, vol. 21, pp. 69–83, 2015.

  7. Buongiorno, J., Convective Transport in Nanofluids, J. Heat Transf., vol. 128, no. 3, pp. 240–250, 2006.

  8. Cortell, R., Effects of Viscous Dissipation and Work done by Deformation on the MHD Flow and Heat Transfer of a Viscoelastic Fluid over a Stretching Sheet, Phys. Lett. A, vol. 357, pp. 298–305, 2006.

  9. Dhanai, R., Rana, P., and Kumar, L., MHD Mixed Convection Nanofluid Flow and Heat Transfer over an Inclined Cylinder due to Velocity and Thermal Slip Effects: Buongiorno’sModel, Powder Technol., vol. 288, pp. 140–150, 2016.

  10. Ganga, B., Mohamed Yusuff Ansari, S., Vishnu Ganesh, N., and Abdul Hakeem, A.K., MHD Flow of Boungiorno Model Nanofluid over a Vertical Plate with Internal Heat Generation/Absorption, Propul. Power Res., vol. 5, no. 3, pp. 211–222, 2016.

  11. Goyal, M. and Bhargava, R., Numerical Solution of MHD Viscoelastic Nanofluid Flow over a Stretching Sheet with Partial Slip and Heat Source/Sink, ISRN Nanotechnol., p. 931021, 2013. DOI: 10.1155/2013/931021

  12. Goyal, M. and Bhargava, R., Boundary Layer Flow and Heat Transfer of Viscoelastic Nanofluid past a Stretching Sheet with Partial Slip Condition, Appl. Nanosci., vol. 4, pp. 761–767, 2014.

  13. Hayat, T., Shafiq, A., Alsaedi, A., and Asghar, S., Effect of Inclined Magnetic Field in Flow of Third Grade Fluid with Variable Thermal Conductivity, AIP Adv., vol. 5, p. 087108, 2015.

  14. Job, V.M., Gunakala, S.R., Rushi Kumar, B., and Sivaraj, R., Time-Dependent Hydromagnetic Free Convection Nanofluid Flows within a Wavy Trapezoidal Enclosure, Appl. Therm. Eng., vol. 115, pp. 363–377, 2017.

  15. Khan, W.A. and Pop, I.M., Boundary Layer Flow past a Stretching Surface in a Porous Medium Saturated by a Nanofluid: Brinkman-Forchheimer Model, PLOS ONE, vol. 7, no. 10, p. e47031, 2016. DOI: 10.1371/journal.pone.0047031

  16. Khan, U., Mohyud-Din, S.T., and Bin-Mohsin, B., Convective Heat Transfer and Thermo-Diffusion Effects on Flow of Nanofluid towards a Permeable Stretching Sheet Saturated by a Porous Medium, Aerosp. Sci. Technol., vol. 50, pp. 196–203, 2016.

  17. Kothandapani, M. and Prakash, J., Influence of Heat Source, Thermal Radiation, and Inclined Magnetic Field on Peristaltic Flow of a Hyperbolic Tangent Nanofluid in a Tapered Asymmetric Channel, IEEE Trans. Nanobiosci., vol. 14, no. 4, pp. 385–392, 2015.

  18. Mythili, D. and Sivaraj, R., Influence of Higher Order Chemical Reaction and Non-Uniform Heat Source/Sink on Casson Fluid Flow over a Vertical Cone and Flat Plate, J. Mol. Liq., vol. 216, pp. 466–475, 2016.

  19. Mythili, D., Sivaraj, R., and Rashidi, M.M., Heat Generating/Absorbing and Chemically Reacting Casson Fluid Flow over a Vertical Cone and Flat Plate Saturated with Non-Darcy Porous Medium, Int. J. Numer. Methods Heat Fluid Flow, vol. 27, pp. 156–173,2017.

  20. Pandey, A.K. and Kumar, M., Natural Convection and Thermal Radiation Influence on Nanofluid Flow over a Stretching Cylinder in a Porous Medium with Viscous Dissipation, Alexandria Eng. J., vol. 56, no. 1, pp. 55–62, 2017.

  21. Pourmehran, O., Rahimi-Gorji, M., and Ganji, D.D., Heat Transfer and Flow Analysis of Nanofluid Flow Induced by a Stretching Sheet in the Presence of an External Magnetic Field, J. Taiwan Inst. Chem. Eng., vol. 65, pp. 162–171, 2016.

  22. Ramzan, M., Bilal, M., Chung, J.D., and Farooq, U., Mixed Convective Flow of Maxwell Nanofluid past a Porous Vertical Stretched Surface—An Optimal Solution, Results Phys., vol. 6, pp. 1072–1079, 2016.

  23. Rashidi, M.M., Raju, C.S., Sandeep, N., and Saleem, S., A Numerical Comparative Study on 3D Nanofluid Flows, J. Comput. Theor. Nanosci., vol. 13, no. 8, pp. 4835–4842, 2016.

  24. Rashidi, M.M., Nasiri, M., Khezerloo,M., and Laraqi, N., Numerical Investigation of Magnetic Field Effect on Mixed Convection Heat Transfer of Nanofluid in a Channel with SinusoidalWalls, J. Magn. Magn. Mater., vol. 401, pp. 159–168, 2016.

  25. Rushi Kumar, B., Sreedhara Rao, G., Sivaraj, R., and Job, V.M., Influence of Thermal Radiation and Thermophoresis on Viscoelastic Fluid, Spec. Top. Rev. Porous Media Int. J., vol. 7, pp. 195–205, 2016.

  26. Shenoy, A.V., Non-Newtonian Fluid Heat Transfer in Porous Media, Adv. Heat Transf., vol. 24, pp. 101–190, 1994.

  27. Sheikholeslami, M., Ganji, D.D., Younus Javed, M., and Ellahi, R., Effect of Thermal Radiation on Magnetohydrodynamics Nanofluid Flow and Heat Transfer by Means of Two Phase Model, J. Magn. Magn. Mater., vol. 374, pp. 36–43, 2015.

  28. Sheikholeslami, M., Rashidi, M.M., and Ganji, D.D., Effect of Non-Uniform Magnetic Field on Forced Convection Heat Transfer of Fe<sub>3</sub>O<sub>4</sub>-Water Nanofluid, Comput. Methods Appl. Mech. Eng., vol. 294, pp. 299–312, 2015.

  29. Sheikholeslami, M., Ganji, D.D., and Rashidi, M.M., Magnetic Field Effect on Unsteady Nanofluid Flow and Heat Transfer using Buongiorno Model, J. Magn. Magn. Mater., vol. 416, pp. 164–173, 2016.

  30. Sivaraj, R. and Benazir, A.J., Unsteady Magnetohydrodynamic Mixed Convective Oscillatory Flow of Casson Fluid in a Porous Asymmetric Wavy Channel, Spec. Top. Rev. Porous Media, Int. J., vol. 6, no. 3, pp. 267–281, 2015.

  31. Uddin, M.J., Rana, P., Anwar Beg, O., and Ismail, A.I.Md., Finite Element Simulation of Magnetohydrodynamic Convective Nanofluid Slip Flow in Porous Media with Nonlinear Radiation, Alexandria Eng. J., vol. 55, no. 2, pp. 1305–1319, 2016.

  32. Vishnu Ganesh, N., Abdul Hakeem, A.K., and Ganga, B., Darcy-Forchheimer Flow of Hydromagnetic Nanofluid over a Stretching/ Shrinking Sheet in a Thermally Stratified Porous Medium with Second Order Slip, Viscous, and Ohmic Dissipations Effects, Ain Shams Eng. J., 2017. DOI: 10.1016/j.asej.2016.04.019

  33. Ziaei-Rad, M., Kasaeipoor, A., Rashidi, M.M., and Lorenzini, G., A Similarity Solution for Mixed-Convection Boundary Layer Nanofluid Flow on an Inclined Permeable Surface, J. Therm. Sci. Eng. Appl., vol. 9, no. 2, p. 021015, 2017.


Articles with similar content:

MAGNETO-NANOFLUID FLOW DUE TO BIDIRECTIONAL STRETCHING SURFACE IN A POROUS MEDIUM
Special Topics & Reviews in Porous Media: An International Journal, Vol.10, 2019, issue 5
Muhammad Faisal, Tariq Javed, Iftikhar Ahmad
A FINITE ELEMENT NUMERICAL APPROACH TO UNSTEADY FREE CONVECTIVE FLOW OF MICROPOLAR FLUID PAST AN INCLINED PLATE WITH DISSIPATIVE HEAT ENERGY
International Journal of Fluid Mechanics Research, Vol.46, 2019, issue 6
Satyaranjan R. Mishra, D. K. Mohapatra, MD. Shamshuddin
Thermophoresis Effects on Heat and Mass Transfer in MHD Flow Over a Vertical Stretching Surface with Radiation
International Journal of Fluid Mechanics Research, Vol.36, 2009, issue 6
Ahmed Y. Bakier
MAGNETOHYDRODYNAMIC FLOW AND HEAT TRANSFER TO SISKO NANOFLUID OVER A WEDGE
International Journal of Fluid Mechanics Research, Vol.44, 2017, issue 1
Naikoti Kishan, Cherlacola Srinivas Reddy, Madhu Macha
ANALYTICAL APPROACH TO STAGNATION-POINT FLOW AND HEAT TRANSFER OF A MICROPOLAR FLUID VIA A PERMEABLE SHRINKING SHEET WITH SLIP AND CONVECTIVE BOUNDARY CONDITIONS
Heat Transfer Research, Vol.50, 2019, issue 8
Khilap Singh, Manoj Kumar, Alok Kumar Pandey