Inscrição na biblioteca: Guest
Portal Digital Begell Biblioteca digital da Begell eBooks Diários Referências e Anais Coleções de pesquisa
Special Topics & Reviews in Porous Media: An International Journal
ESCI SJR: 0.277 SNIP: 0.52 CiteScore™: 1.3

ISSN Imprimir: 2151-4798
ISSN On-line: 2151-562X

Special Topics & Reviews in Porous Media: An International Journal

DOI: 10.1615/SpecialTopicsRevPorousMedia.2020028546
pages 585-605

NUMERICAL INVESTIGATION OF MHD NONLINEAR RADIATIVE OBLIQUE FLOW OF MICROPOLAR LIQUID PAST A STRETCHING SHEET WITH POROUS MEDIUM

Kempannagari Anantha Kumar
Department of Sciences and Humanities, Sri Venkateswara Engineering College, Karakambadi Road-517507, Tirupati, Andhra Pradesh, India; Department of Mathematics, Sri Venkateswara University, Tirupati-517502, India
N. Sandeep
Department of Mathematics, Central University of Karnataka, Kalaburagi-585367, India
Vangala Sugunamma
Department of Mathematics, Sri Venkateswara University, Tirupati-517502, A.P., India

RESUMO

In this paper, we examine the flow and heat transfer characteristics of magnetohydrodynamic oblique stagnation point flow of micropolar fluid across a stretching surface in the presence of a porous medium. The heat transport phenomenon is examined in the presence of an irregular heat source/sink, Joule heat, and nonlinear radiation. Simultaneous solutions are presented for Newtonian and non-Newtonian fluid flows. Suitable similarity transformations are utilized to convert the basic partial differential equations into ordinary differential equations (ODEs). The attained nonlinear ODEs are highly coupled. These are solved with the successive application of R.K-Fehlberg and shooting techniques. The influence of dimensionless parameters on the flow fields (velocity, microrotation, and temperature) are explained via graphs. Computations for the rate of heat transfer, couple stress coefficient, and friction factor are discussed and presented with the aid of tables. Results specify that rising values of porous and magnetic field parameters result in a reduction in the velocity field but an enhancement in the thermal and microrotation fields. Also, it is interesting to note that irregular heat source/sink parameters play a major role in the heat transfer performance. To the best of our knowledge, simultaneous solutions for the oblique stagnation point flow of micropolar liquid with Joule heat and a variable heat source/sink has not yet been analyzed in the literature.

Referências

  1. Ajou, A., Arqub, O.A., and Smadi, M., A General Form of the Generalized Taylor's Formula with Some Applications, Appl. Math. Comput., vol. 256, pp. 851-859,2015a.

  2. Ajou, A., Arqub, O.A., and Smadi, M., Approximate Analytical Solution of the Nonlinear Fractional KDV-Burgers Equation: A New Iterative Algorithm, J. Comput. Phys, vol. 293,pp. 81-95,2015b.

  3. Ajou, A., Arqub, O.A., Momani, S., Baleanu, D., and Alsaedi, A., A Novel Expansion Iterative Method for Solving Linear Partial Differential Equations of Fractional Order, Appl. Math. Comput., vol. 257, pp. 119-133,2015c.

  4. Ananth, Dinesh, P. A., Sugunamma, V., and Sandeep, N., Effect of Nonlinear Thermal Radiation on Stagnation Flow of a Casson Fluid towards a Stretching Sheet, Ind. Eng. Lett., vol. 5, no. 8, pp. 70-79,2015.

  5. Anantha Kumar, K., Reddy, J.V.R., Sandeep, N., and Sugunamma, V., Dual Solutions for Thermo Diffusion and Diffusion Thermo Effects on 3D MHD Casson Fluid Flow over a Stretching Surface, Res. J. Pharm. Technol., vol. 9, no. 8, pp. 1187-1194,2016a.

  6. Anantha Kumar, K., Reddy, J.V.R., Sandeep, N., and Sugunamma, V., Influence of Thermal Radiation on Stagnation Flow towards a Stretching Sheet with Induced Magnetic Field, Adv. Phys. Theo. Appl., vol. 53, pp. 23-28,2016b.

  7. Anantha Kumar, K., Reddy, J.V.R., Sugunamma, V., and Sandeep, N., Impact of Frictional Heating on MHD Radiative Ferrofluid past a Convective Shrinking Surface, Def. Diff. Forum, vol. 378, pp. 157-174,2017.

  8. Anantha Kumar, K., Reddy, J.V.R., Sugunamma, V., and Sandeep, N., Impact of Cross Diffusion on MHD Viscoelastic Fluid Flow past a Melting Surface with Exponential Heat Source, Multi. Model. Mater. Struct., vol. 14, no. 5, pp. 999-1016,2018a.

  9. Anantha Kumar, K., Sugunamma, V., and Sandeep, N., Impact of Non-Linear Radiation on MHD Non-Aligned Stagnation Point Flow of Micropolar Fluid over a Convective Surface, J. Non-Equilib. Thermodyn., vol. 43, no. 4, pp. 327-345,2018b.

  10. Anantha Kumar, K., Reddy, J.V.R., Sugunamma, V., and Sandeep, N., Magnetohydrodynamic Cattaneo-Christov Flowpast a Cone and a Wedge with Variable Heat Source/Sink, Alex. Eng. J., vol. 57, no. 1, pp. 435-443,2018c.

  11. Anantha Kumar, K., Sugunamma, V., and Sandeep, N., Numerical Exploration of MHD Radiative Micropolar Liquid Flow Driven by Stretching Sheet with Primary Slip: A Comparative Study, J. Non-Equilib. Thermodyn., vol. 44, no. 2, pp. 101-122,2018d.

  12. Anantha Kumar, K., Sugunamma, V., Sandeep, N., and Reddy, J.V.R., Impact of Brownian Motion and Thermophoresis on Bio- convective Flow of Nanoliquids past a Variable Thickness Surface with Slip Effects, Multi. Model. Mater. Struct., vol. 15, no. 1,pp. 103-132,2019.

  13. Bhatti, M.M., Abbas, M.A., and Rashidi, M.M., A Robust Numerical Method for Solving Stagnation Point Flow over a Permeable Shrinking Sheet under the Influence of MHD, Appl. Math. Comp., vol. 316, no. 1, pp. 381-389,2018.

  14. Eringen, A.C., Simple Microfluids, Int. J. Eng. Sci. vol. 2, pp. 205-217,1964.

  15. Hamid, R.A., Nazar, R., and Pop, I., Non-Alignment Stagnation-Point Flow of a Nanofluid past a Permeable Stretching/Shrinking Sheet: Buongiorno'sModel, Sci. Rep., vol. 5, p. 14640,2015.

  16. Hayat, T., Qasim, M., and Mesloub, S., MHD Flow and Heat Transfer over Permeable Stretching Sheet with Slip Conditions, Int. J. Numer. Meth. Fluids, vol. 66, pp. 963-975,2010.

  17. Hayat, T., Shafiq, A., and Alsaedi, A., Effect of Joule Heating and Thermal Radiation in Flow of Third Grade Fluid over Radiative Surface, PLOS ONE, vol. 9, no. 1, p. e83153,2014.

  18. Hussanan, A., Ismail, Z., Khan, I., Hussein, A.G., and Shafie, S., Unsteady Boundary Layer MHD Free Convection Flow in a Porous Medium with Constant Mass Diffusion and Newtonian Heating, Eur. Phys. J. Plus, vol. 129, pp. 1-16,2014.

  19. Hussanan, A., Khan, I., and Shafie, S., An Exact Analysis of Heat and Mass Transfer past a Vertical Plate with Newtonian Heating, J. Appl. Math, vol. 2013, pp. 1-9,2013.

  20. Hussanan, A., Khan, I., Salleh, M.Z., and Shafie, S., Slip Effects on Unsteady Free Convective Heat and Mass Transfer Flow with Newtonian Heating, Thermal Sci., vol. 20, no. 6, pp. 1939-1952,2016.

  21. Hussanan, A., Salleh, M.Z., Khan, I., and Tahar, R.M., Heat and Mass Transfer in a Micropolar Fluid with Newtonian Heating: An Exact Analysis, Neural Comput. Appl, vol. 29, pp. 59-67,2018.

  22. Hussanan, A., Salleh, M.Z., Khan, I., and Tahar, R.M., Unsteady Free Convection Flow of a Micropolar Fluid with Newtonian Heating: Closed Form Solution, Thermal Sci., vol. 21, pp. 2307-2320,2017.

  23. Jusoh, R., Nazar, R., and Pop, I., Magnetohydrodynamic Rotating Flow and Heat Transfer of Ferrofluid due to an Exponentially Permeable Stretching/Shrinking Sheet, J. Magn. Magn. Mater., vol. 465, pp. 365-374,2018.

  24. Khan, U., Ahmed, N., Din, S.T.M., and Mohsin, B.B., Nonlinear Radiation Effects on MHD Flow of Nanofluid over a Nonlinearly Stretching/Shrinking Wedge, Neural Comput. Appl., vol. 28, pp. 2041-2050,2017.

  25. Khan, W.A., Makinde, O.D., and Khan, Z.H., Non-Aligned MHD Stagnation Point Flow of Variable Viscosity Nanofluids past a Stretching Sheet with Radiative Heat, Int. J. Heat Mass Transf., vol. 96, pp. 525-534,2016.

  26. Kumar, P. V., Ibrahim, S.M., and Lorenzini, G., Impact of Thermal Radiation and Joule Heating on MHD Mixed Convection Flow of a Jeffrey Fluid over a Stretching Sheet Using Homotopy Analysis Method, Int. J. Heat Technol, vol. 35, no. 4, pp. 978-986, 2017.

  27. Lakshmi, K.B., Anantha Kumar, K., Reddy, J.V.R., and Sugunamma, V., Influence of Nonlinear Radiation and Cross Diffusion on MHD Flow of Casson and Walters-B Nanofluids past a Variable Thickness Sheet, J. Nnaofluids, vol. 8, no. 1, pp. 73-83,2019.

  28. Lok, Y.Y., Pop, I., and Chamkha, A.J., Non-Orthogonal Stagnation-Point Flow of a Micropolar Fluid, Int. J. Eng. Sci., vol. 45, pp. 173-184,2007.

  29. Manole, D.M. and Lage, J.L., The Inertial Effect on the Natural Convection Flow within a Fluid-Saturated Porous Medium, Int. J. Heat Fluid Flow, vol. 14, no. 4, pp. 376-384,1993.

  30. Mustafa, M., Mushtaq, A., and Hayat, T., Non-Aligned MHD Stagnation-Point Flow of Upper-Convected Maxwell Fluid with Nonlinear Thermal Radiation, Neural Comp. Appl., vol. 29, no. 2, pp. 493-499,2019.

  31. Nadeem, S., Haq, R.U., Akbar, N.S., and Khan, Z.H., MHD Three-Dimensional Casson Fluid Flow past a Porous Linearly Stretch-ing Sheet, Alex. Eng. J, vol. 52, pp. 577-582,2013.

  32. Qasim, M., Khan, I., and Shafie, S., Heat Transfer in a Micropolar Fluid over a Stretching Sheet with Newtonian Heating, PLOS ONE, vol. 8, no. 4, 2013.

  33. Ramadevi, B., Sugunamma, V., Anantha Kumar, K., and Reddy, J.V.R., MHD Flow of Carreau Fluid over a Variable Thickness Melting Surface Subject to Cattaneo-Christov Heat Flux, Multi. Model. Mater. Struct., vol. 15, no. 1, pp. 2-25,2018.

  34. Ramandevi, B., Reddy, J.V.R., Sugunamma, V., and Sandeep, N., Combined Influence of Viscous Dissipation and Non-Uniform Heat Source/Sink on MHD Non-Newtonian Fluid Flow with Cattaneo-Christov Heat Flux, Alex. Eng. J., vol. 57, no. 2, pp. 1009-1018,2018.

  35. Reddy, J.V.R., Anantha Kumar, K., Sugunamma, V., and Sandeep, N., Effect of Cross Diffusion on MHD Non-Newtonian Fluids Flow past a Stretching Sheet with Non-Uniform Heat Source/Sink: A Comparative Study, Alex. Eng. J, vol. 57, no. 3, pp. 1829-1838,2018.

  36. Reddy, J.V.R., Sugunamma, V., Sandeep, N., and Anantha Kumar, K., Influence of Non-Uniform Heat Source/Sink on MHD Nanofluid Flow past a Slendering Stretching Sheet with Slip Effects, Global J. Pure Appl. Math., vol. 12, pp. 247-254,2015.

  37. Sandeep, N. and Sugunamma, V., Radiation and Inclined Magnetic Field Effects on Unsteady Hydromagnetic Free Convection Flow past an Impulsively Moving Vertical Plate in a Porous Medium, J. Appl. FluidMech., vol. 7, no. 2, pp. 275-286,2014.

  38. Sandeep, N. and 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 Eng. J., vol. 9, no. 4, pp. 517-524,2016.

  39. Sandeep, N., Effect of Aligned Magnetic Field on Liquid Thin Film Flow of Magnetic-Nanofluids Embedded with Graphene Nanoparticles, Powder Technol., vol. 28, no. 3, pp. 865-875,2017.

  40. Sandeep, N., Sulochana, C., and Sugunamma, V., Heat Transfer Characteristics of a Dusty Nanofluid past a Permeable Stretch-ing/Shrinking Cylinder with Non-Uniform Heat Source/Sink, J. Nanofluids, vol. 5, no. 1, pp. 59-65,2016.

  41. Soundalgekar, V.M., Free Convection Effects on Steady MHD Flow past a Vertical Porous Plate, J. Fluid Mech., vol. 66, no. 3, pp. 541-551,1984.

  42. Tabassum, R., Mehmood, R., and Akbar, N.S., Magnetite Micropolar Nanofluid Non-Aligned MHD Flow with Mixed Convection, Eur. Phys. J. Plus, vol. 132, no. 6, pp. 1-15,2017.

  43. Waqas, M., Farooq, M., Khan, M.I., Alsaedi, A., Hayat, T., and Yasmeen, T., Magnetohydrodynamic (MHD) Mixed Convective Flow of Micropolr Liquid due to Non-Linear Stretched Sheet with Convective Condition, Int. J. Heat Mass Transf, vol. 102, pp. 762-772, 2016.


Articles with similar content:

MAGNETOHYDRODYNAMIC RADIATIVE FLOW OF A MAXWELL FLUID ON AN EXPANDING SURFACE WITH THE EFFECTS OF DUFOUR AND SORET AND CHEMICAL REACTION
Computational Thermal Sciences: An International Journal, Vol.12, 2020, issue 4
M. Vinodkumar Reddy, Kuppalapalle Vajravelu, Pallavarapu Lakshminarayana
THERMAL DIFFUSION EFFECTS ON UNSTEADY MAGNETOHYDRODYNAMIC BOUNDARY LAYER SLIP FLOW PAST A VERTICAL PERMEABLE PLATE
Special Topics & Reviews in Porous Media: An International Journal, Vol.7, 2016, issue 1
B. Rushi Kumar, S. Vijaya Kumar Varma, M. C Raju, C. Veeresh
HEAT AND MASS TRANSFER OF A NON-NEWTONIAN JEFFREY NANOFLUID OVER AN EXTRUSION STRETCHING SHEET WITH THERMAL RADIATION AND NONUNIFORM HEAT SOURCE/SINK
Computational Thermal Sciences: An International Journal, Vol.12, 2020, issue 2
Gopinath Mandal, Dulal Pal
HEAT GENERATION/ABSORPTION AND RADIATION EFFECTS ON HYDROMAGNETIC STAGNATION POINT FLOW OF NANOFLUIDS TOWARD A HEATED POROUS STRETCHING/SHRINKING SHEET WITH SUCTION/INJECTION
Journal of Porous Media, Vol.23, 2020, issue 1
K. M. Kanika, Santosh Chaudhary
UNSTEADY MHD MIXED CONVECTION STAGNATION‐POINT FLOW IN A MICROPOLAR FLUID ON A VERTICAL SURFACE IN A POROUS MEDIUM WITH SORET AND DUFOUR EFFECTS
Heat Transfer Research, Vol.44, 2013, issue 7
Abdul Rahman M. Kasim, Aurang Zaib, N. F. Mohammad, Sharidan Shafie