This paper focuses on the effects of velocity and concentration slip with Cattaneo-Christov on magnetohydro dynamic viscoelastic material over a stretching surface with convective boundary conditions. The governing nonlinear ordinary differential equations representation is fixed numerically by the weighted residual method (Galerkin method) The computed results are visualized graphically, and the validation of present solutions is reported by the comparative benchmark with already available results in a limiting sense. Our findings demonstrate that the opposite behaviour was noticed for the Brownian motion parameter and thermophoresis parameter as their values increases.
References
[1]
Choi, S. (1995) Enhancing Thermal Conductivities of Finds with Nanoparticle. In: Sisiner, D.A. and Wang, H.P., Eds., Development and Application of Non-Newtonian Flours, American Institute of Mathematics Engineers, 99-105.
[2]
Choi, S.U.S., Zhang, Z.G., Yu, W., Lockwood, F.E. and Grulke, E.A. (2001) Anomalous Thermal Conductivity Enhancement in Nanotube Suspensions. Applied Physics Letters, 79, 2252-2254. https://doi.org/10.1063/1.1408272
[3]
Bing, K.Y., Hussanan, A., Mohamed, M.K.A., Sarif, N.M., Ismail, Z. and Salleh, M.Z. (2017) Thermal Radiation Effect on MHD Flow and Heat Transfer of Williamson Nanofluids over a Stretching Sheet with Newtonian Heating. AIP Conference Proceedings, 1830, Article 020022. https://doi.org/10.1063/1.4980885
[4]
Ganesh Kumar, K., Ramesh, G.K., Gireesha, B.J. and Rashad, A.M. (2019) On Stretched Magnetic Flow of Carreau Nanofluid with Slip Effects and Nonlinear Thermal Radiation. Nonlinear Engineering, 8, 340-349. https://doi.org/10.1515/nleng-2017-0120
[5]
Irfan, M., Rafiq, K., Khan, W.A. and Khan, M. (2020) Numerical Analysis of Unsteady Carreau Nanofluid Flow with Variable Conductivity. Applied Nanoscience, 10, 3075-3084. https://doi.org/10.1007/s13204-020-01331-z
[6]
Fourier, J.B.J. (1822) Théorie Analytique de la Chaleur. Cambridge University Press.
[7]
Cattaneo, C. (1948) Sulla conduzione del calore. Attidel Seminario Matematico e Fisicodella Università di Modena, 3, 83-101.
[8]
Hayat, T., Qayyum, S., Imtiaz, M. and Alsaedi, A. (2016) Three-Dimensional Rotating Flow of Jeffrey Fluid for Cattaneo-Christov Heat Flux Model. AIP Advances, 6, Article 025012. https://doi.org/10.1063/1.4942091
[9]
Hayat, T., Imtiaz, M., Alsaedi, A. and Almezal, S. (2016) On Cattaneo-Christov Heat Flux in MHD Flow of Oldroyd-B Fluid with Homogeneous-Heterogeneous Reactions. Journal of Magnetism and Magnetic Materials, 401, 296-303. https://doi.org/10.1016/j.jmmm.2015.10.039
[10]
Hayat, T., Farooq, M., Alsaedi, A. and Al-Solamy, F. (2015) Impact of Cattaneo-Christov Heat Flux in the Flow over a Stretching Sheet with Variable Thickness. AIP Advances, 5, Article 287159. https://doi.org/10.1063/1.4929523
[11]
Hayat, T., Khan, M.I., Farooq, M., Alsaedi, A., Waqas, M. and Yasmeen, T. (2016) Impact of Cattaneo-Christov Heat Flux Model in Flow of Variable Thermal Conductivity Fluid over a Variable Thicked Surface. International Journal of Heat and Mass Transfer, 99, 702-710. https://doi.org/10.1016/j.ijheatmasstransfer.2016.04.016
[12]
Mustafa, M. (2015) Cattaneo-Christov Heat Flux Model for Rotating Flow and Heat Transfer of Upper-Convected Maxwell Fluid. AIP Advances, 5, Article 047109. https://doi.org/10.1063/1.4917306
[13]
Han, S., Zheng, L., Li, C. and Zhang, X. (2014) Coupled Flow and Heat Transfer in Viscoelastic Fluid with Cattaneo-Christov Heat Flux Model. Applied Mathematics Letters, 38, 87-93. https://doi.org/10.1016/j.aml.2014.07.013
[14]
Khan, U., Ahmad, S., Hayyat, A., Khan, I., Nisar, K.S. and Baleanu, D. (2020) On the Cattaneo-Christov Heat Flux Model and OHAM Analysis for Three Different Types of Nanofluids. Applied Sciences, 10, Article 886. https://doi.org/10.3390/app10030886
[15]
Haddad, S.A.M. (2014) Thermal Instability in Brinkman Porous Media with Cattaneo-Christov Heat Flux. International Journal of Heat and Mass Transfer, 68, 659-668. https://doi.org/10.1016/j.ijheatmasstransfer.2013.09.039
[16]
Khan, M. and Khan, W.A. (2016) Three-dimensional Flow and Heat Transfer to Burgers Fluid Using Cattaneo-Christov Heat Flux Model. Journal of Molecular Liquids, 221, 651-657. https://doi.org/10.1016/j.molliq.2016.06.041
[17]
Hayat, T., Haider, F., Muhammad, T. and Alsaedi, A. (2017) Darcy-Forchheimer Flow with Cattaneo-Christov Heat Flux and Homogeneous-Heterogeneous Reactions. PLOS ONE, 12, e0174938. https://doi.org/10.1371/journal.pone.0174938
[18]
Mahdy, A. (2016) Unsteady MHD Slip Flow of a Non-Newtonian Casson Fluid Due to Stretching Sheet with Suction or Blowing Effect. Journal of Applied Fluid Mechanics, 9, 785-793. https://doi.org/10.18869/acadpub.jafm.68.225.24687
[19]
Mahatha, B.K., Nandkeolyar, R., Nagaraju, G. and Das, M. (2015) MHD Stagnation Point Flow of a Nanofluid with Velocity Slip, Non-Linear Radiation and Newtonian Heating. Procedia Engineering, 127, 1010-1017. https://doi.org/10.1016/j.proeng.2015.11.450
[20]
Uddin, M.J., Bég, O.A. and Ismail, A.I. (2015) Radiative Convective Nanofluid Flow Past a Stretching/Shrinking Sheet with Slip Effects. Journal of Thermophysics and Heat Transfer, 29, 513-523. https://doi.org/10.2514/1.t4372
[21]
Finlayson, B.A. and Scriven, L.E. (1966) The Method of Weighted Residual Method—A Review. Applied Mechanics Reviews, 19, 735-748.
[22]
Odejide, S. and Aregbesola, Y.A.S. (2011) Application of Method of Weighted Residuals to Problems with Semi-Infinite Domain. Romanian Journal of Physics, 1, 14-24.
[23]
Oderinu, R.A. and Aregbesola, Y.A.S. (2012) The Weighted Residual Method in a Semi-Infinite Domain Using Un-Partitioned Methods. International Journal of Applied Mathematics, 25, 25-31.
[24]
Aregbesola, Y.A.S. (2003) Numerical Solution of Bratu Problems Using of Weighted Residuals. Electronic Journal of Southern African Mathematical Sciences Association, 3, 1-7.
[25]
Ghesemi, P.M., Abbasi, M. and Khaki, M. (2015) New Analytic Solution of MHD Fluid Flow of Fourth-Grade Fluid through the Channel with Slip Condition via Collocation Method. International Journal of Advances in Applied Mathematics, 2, 87-94.
[26]
Scheid, F. (1964) Numerical Analysis, Schaum’s Outline Series. McGraw-Hill Book Company.
[27]
Cortell, R. (2005) A Note on Magnetohydrodynamic Flow of a Power-Law Fluid over a Stretching Sheet. Applied Mathematics and Computation, 168, 557-566. https://doi.org/10.1016/j.amc.2004.09.046
[28]
Ramesh, G.K., Gireesha, B.J. and Bagewadi, C.S. (2012) Stagnation Point Flow of a MHD Dusty Fluid towards a Stretching Sheet with Radiation. Afrika Matematika, 25, 237-249. https://doi.org/10.1007/s13370-012-0114-6
[29]
Ganesh Kumar, K., Ramesh, G.K., Gireesha, B.J. and Rashad, A.M. (2019) On Stretched Magnetic Flow of Carreau Nanofluid with Slip Effects and Nonlinear Thermal Radiation. Nonlinear Engineering, 8, 340-349. https://doi.org/10.1515/nleng-2017-0120
[30]
Rana, P., Bhargava, R., Bég, O.A. and Kadir, A. (2016) Finite Element Analysis of Viscoelastic Nanofluid Flow with Energy Dissipation and Internal Heat Source/Sink Effects. International Journal of Applied and Computational Mathematics, 3, 1421-1447. https://doi.org/10.1007/s40819-016-0184-5
[31]
Akaje T.W., Olajuwon B.I., (2021) Impacts of Nonlinear Thermal Radiation on a Stagnation Point of an Aligned MHD Casson Nanofluid Flow with Thompson and Troian Slip Boundary Condition. Journal of Advanced Research in Experimental Fluid Mechanics and Heat Transfer, 6, 1-15.