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UNSTEADY MHD STAGNATION POINT FLOW OF PRANDTL NANOFLUID OVER AN EXPONENTIALLY STRETCHING/SHRINKING SHEET WITH SUCTION/INJECTION AND PARTIAL SLIP

巻 11, 発行 6, 2020, pp. 541-559
DOI: 10.1615/SpecialTopicsRevPorousMedia.2020028926
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要約

The present analysis is carried out to study the two-dimensional unsteady magnetohydrodynamic (MHD) stagnation point flow with heat transfer characteristics of Prandtl nanofluid flow over an exponentially permeable stretching/shrinking sheet in the presence of transverse magnetic and electric fields with heat source/sink. The partial slip at the boundary, convective thermal, and mass boundary conditions are considered. A similarity transformation is used to convert the governing partial differential equation to coupled higher order nonlinear ordinary differential equations. The simplified nonlinear boundary value problem is solved numerically by using the fourth-order Runge-Kutta method with a shooting technique. The effects of various controlling flow parameters on the dimensionless velocity, temperature, and nanoparticle volume fraction, as well as the skin friction, local Nusselt, and local Sherwood profiles, are discussed numerically and illustrated graphically. The effect of increasing the inclination angle parameter is to suppress the velocity of the flow. An increase in the Prandtl number reduces the flow temperature, while an increase in the value of the Soret parameter causes an increase in the concentration of the fluid. Also, increasing the velocity slip parameter reduces the velocity profile, whereas increasing the heat generation parameter increases the temperature profile. Some of the special results are compared with previous published works.

参考
  1. Abou-zeid, M.Y., Effect of Thermal-Diffusion and Viscous Dissipation on Peristaltic Flow of Micropolar Non-Newtonian Nanofluid: Application of Homotopy Perturbation Method, Results Phys., vol. 6, pp. 481-495,2016.

  2. Abou-zeid, M.Y. and Mohamed, M.A., Homotopy Perturbation Method for Creeping Flow of Non-Newtonian Power-Law Nanofluid in a Nonuniform Inclined Channel with Peristalsis, Z. Naturforsch, vol. 72, pp. 899-907,2017.

  3. Akbar, N.S., Nadeen, S., and Lee, C., Peristaltic Flow of a Prandtl Fluid Model in an Asymmetric Channel, Int. J. Physical Sci., vol. 5, pp. 687-695,2012.

  4. Akbarzadeh, M., Rashidi, S., Karimi, N., and Ellahi, R., Convection of Heat and Thermodynamic Irreversibilities in Two-Phase, Turbulent Nanofluid Flows in Solar Heaters by Corrugated Absorber Plates, Adv. Powder Tech., vol. 29, pp. 2243-2254,2018.

  5. Alamri Sultan Z., Ellahi, R., Shehzad, N., and Zeeshan, A., Convective Radiative Plane Poiseuille Flow of Nanofluid through Porous Medium with Slip: An Application of Stefan Blowing, J. Mol. Liq., vol. 273, pp. 292-304,2019.

  6. Andersson, H.I., Hansen, O.R., and Holmedal, B., Diffusion of a Chemically Reactive Species from a Stretching Sheet, Int. J. Heat Mass Transf., vol. 37, pp. 659-664,1994.

  7. Choi, S.U.S., Enhancing Thermal Conductivity of Fluids with Nanoparticles, ASME Fluids Eng. Div, vol. 231, pp. 99-105,1995.

  8. Cortell, R., Toward an Understanding of the Motion and Mass Transfer with Chemically Reactive Species for Two Classes of Viscoelastic Fluid over a Porous Stretching Sheet, Chem. Eng. Proc.: Process Intens, vol. 46, pp. 982-989,2007.

  9. Das, K., Lie Group Analysis of Stagnation-Point Flow of a Nanofluid, Microfluidics Nanofluidics, vol. 15, pp. 267-274,2013.

  10. Eldabe, N., Unsteady Flow through a Conducting Viscous Incompressible Porous Fluid Medium between Two Parallel Plates under a Uniform Transverse Magnetic Field with Variable Pressure Gradient, Proc. Math. Phys. Soc., vol. 59, pp. 123-135, 1985.

  11. Eldabe, N.T. and Abou-zeid, M.Y., Homotopy Perturbation Method for MHD Pulsatile Non-Newtonian Nanofluid Flow with Heat Transfer through a Non-Darcy Porous Medium, J. Math. Soc., vol. 25, pp. 375-381,2017.

  12. Eldabe, N. and Hassan, A.A., Non-Newtonian Formation in Couette Motion in Magnetohydrodynamics with Time-Varying Suction, Can. J. Phys, vol. 69, no. 2, pp. 75-82,1991.

  13. Eldabe, N., Moatimid, G.M., and Ali, H.S., Rivlin-Ericksen Fluid in Tube of Varying Cross-Section with Mass and Heat Transfer, Z. Naturforsch, vol. 57, pp. 863-873, 2002.

  14. Eldabe, N., El-Saka, A., and Fouad, A., Thermal-Diffusion and Diffusion-Thermo Effects on Mixed Free-Forced Convection and Mass Transfer Boundary Layer Flow for Non-Newtonian Fluid with Temperature Dependent Viscosity, Appl. Math. Comp., vol. 152, pp. 867-883,2004.

  15. Eldabe, N., Saddek, G., and El-Sayed, A., Heat and Mass Transfer of MHD Unsteady Maxwell Fluid Flow through Porous Medium past a Porous Flat Plate, J. Egyptian Math. Soc., vol. 2, pp. 198-200,2005.

  16. Eldabe, N.T., Hassan, M.A., and Abou-zeid, M.Y., Wall Properties Effect on the Peristaltic Motion of a Coupled Stress Fluid with Heat and Mass Transfer through a Porous Media, J. Eng. Mech., vol. 142, no. 3, pp. 10-29, 2015a. DOI: 10.1061/(ASCE)EM.1943-7889.0001029.

  17. Eldabe, N., Abou-zeid, M.Y., Shaaban, A.M. Abeer, and Sayed Hemat, A., Magnetohydrodynamic Non-Newtonian Nanofluid Flow over a Stretching Sheet through a Non-Darcy Porous Medium with Radiation and Chemical Reaction, J. Comp. Theoret. Nanosci., vol. 12, pp. 5363-5371,2015b.

  18. Eldabe, N., Abou-zeid, M.Y., and Younis, M.Y., Magnetohydrodynamic Peristaltic Flow of Jeffry Nanofluid with Heat Transfer through a Porous Medium in a Vertical Tube, Appl. Math. Info. Sci., vol. 11, pp. 1097-1103,2017.

  19. Ellahi, R.,Zeeshan, A., Shehzad,N., and Alamri Sultan, Z., Structural Impact of Kerosene-A12O3 Nanoliquid on MHD Poiseuille Flow with Variable Thermal Conductivity: Application of Cooling Process, J. Mol. Liq., vol. 264, pp. 607-615,2018.

  20. Hady, F.M., Ibrahim, F.S., Abdel-Gaied, S.M., and Eid, M.R., Radiation Effect on Viscous Flow of a Nanofluid and Heat Transfer over a Nonlinearly Stretching Sheet, Nanoscale Res. Lett., vol. 7, p. 229,2012.

  21. Hassan, M., Marin, M., Alsharif, A., and Ellahi, R., Convective Heat Transfer Flow of Nanofluid in a Porous Medium over Wavy Surface, Phys. Lett. A, vol. 382, pp. 2749-2753,2018.

  22. Hayat, T., Awais, M., Qasim, M., andHendi, A.A., Effects of Mass Transfer on the Stagnation Point Flow of an Upper-Convected Maxwell (UCM) Fluid, Int. J. Heat Mass Transf, vol. 54, pp. 3777-3782,2011.

  23. Ijaz, N., Zeeshan, A., Bhatti, M.M., and Ellahi, R., Analytical Study on Liquid-Solid Particle Interaction in the Presence of Heat and Mass Transfer through a Wavy Channel, J. Mol. Liq, vol. 250, pp. 80-87,2018.

  24. Jafar, K., Nazar, R., and Ishak, A., MHD Flow and Heat Transfer over Stretching/Shrinking Sheets with External Magnetic Field, Viscous Dissipation and Joule Effects, Can. J. Chem. Eng., vol. 90, pp. 1336-1346,2012.

  25. Khalili, S., Tamim, H., Khalili, A., and Rashidi, M.M., Unsteady Convective Heat and Mass Transfer in Pseudoplastic Nanofluid over a Stretching Wall, Adv. Powder Technol, vol. 26, pp. 1319-1326,2015.

  26. Kuznetsov, A.V. and Nield, D.A., Natural Convection Boundary Layer of a Nanofluid past a Vertical Plate, Int. J. Thermal Sci., vol. 49, pp. 237-243,2010.

  27. Malik, M.Y., Khan, I., Hussain, A., and Salahuddin, T., Mixed Convection Flow of MHD Eyring-Powell Nanofluid over a Stretching Sheet: A Numerical Study, AIP Adv., vol. 5, pp. 117-118,2015. DOI: 10.1063/1.4935639.

  28. Mohabbi, R., Rashidi, M.M., Izadi, M., Sidik, N.A.C., and Xian, H.W., Forced Convection of Nanofluids in an Extended Surface, Int. J. Heat Mass Transf., vol. 117, pp. 1291-1303,2018.

  29. Mukhopadhyay, S. and Bhattacharyya, K., Unsteady Flow of Maxwell Fluid over a Stretching Surface in Presence of Chemical Reaction, J. Egyptian Math. Soc, vol. 20, no. 3, pp. 229-234,2012. DOI: 10.1016/j.joems.2012.08.019.

  30. Mustafa, M., Hayat, T., Pop, I., and Hendi, A., Stagnation-Point Flow and Heat Transfer of a Casson Fluid towards a Stretching Sheet, Z Naturforsch A, vol. 67, nos. 1-2, pp. 70-76,2012.

  31. Oyelakin, I.S., Mondal, B., and Sibanda, P., Unsteady Casson Nanofluid Flow over a Stretching Sheet with Thermal Radiation, Convection and Slip Boundary Conditions, Alexandria Eng. J., vol. 55, no. 2, pp. 1025-1035,2016.

  32. Rajesh, V., Radiation Effects on MHD Free Convective Flow near a Vertical Plate with Ramped Wall Temperature, Int. J. Appl. Math. Mech, vol. 6, pp. 60-77,2010.

  33. Raju, R., Srinivasa Reddy, G.J., Rao, J.A., Rashidi, M.M., and Subba, R., Analytical and Numerical Study of Unsteady MHD Free Convection Flow over an Exponentially Moving Vertical Plate with Heat Absorption, Int. J. Thermal Sci., vol. 107, pp. 303-315,2016.

  34. Shehzad, S.A., Hayat, T., and Alsaedi, A., Influence of Convective Heat and Mass Condition in MHD Flow of Nanofluid, Bulletin Polish Acad. ofSci.: Tech. Sci., vol. 63, no. 2, pp. 464-475,2015. DOI: 10.1515/bpasts-2015-0053.

  35. Sheremet, M.A., Grosan, T., and Pop, I., Steady-State Free Convection in Right-Angle Porous Trapezoidal Cavity Filled by a Nanofluid: Buongiorno's Mathematical Model, Eur. J. Mech. B Fluids, vol. 53, pp. 241-250,2015.

  36. Vajravelu, K. and Hadjinicolaou, A., Heat Transfer in a Viscous Fluid over a Stretching Sheet with Viscous Dissipation and Internal Heat Generation, Int. Comm. Heat Mass Transf., vol. 20, pp. 417-430,1993.

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