In this study, we present the effect of two-dimensional magnetohydrodynamics of a nanofluid over a stretching sheet within the presence of chemical reaction, as well as heat generation or absorption. The partial different equations are reduced strongly to coupled nonlinear ordinary differential equations using similarity transformations, which are then numerically solved using spectral local linearization and spectral relaxation methods. The effects of different parameters, Lewis number, Eckert number, stretching, chemical reaction, local Reynolds number, Prandtl number, constant, heat source/sink, Brownian motion, and thermophoresis are analyzed and compared. The numerical results for velocity, temperature, skin- friction coefficient, concentration, Sherwood number, and Nusselt number are presented in tabular form and visualized graphically. The findings of the spectral local linearization and spectral relaxation methods are very similar to the bvp4c method’s results. When compared to the spectral relaxation method, the results from the spectral local linearization method were more effective. We found that increase in the velocity profile also increases the Grashof number (Gr). This shows that the heat transfer on the local skin coefficient transfers on the wall. Since Grashof number (Gr) is the ratio of buoyancy to viscous forces in the boundary layer, it causes an increase in the buoyancy forces relative to the viscous forces which influence the velocity in the boundary layer region. An increase in the heat source/sink parameter (S) results in the increase in velocity and temperature, but a decrease in concentration. The concentration diffusion species were reduced due to the heat source/sink parameter (S). The results also show that heat generation increases the momentum and thermal boundary layer thickness while decreasing the nanofluid concentration boundary layer thickness.

phrases: spectral local linearization method (SLLM), spectral relaxation method (SRM), nanofluid, magnetohydrodynamics (MHD), heat generation/absorption, chemical reaction.

Received: May 29, 2021; Revised: July 2, 2021; Accepted: July 20, 2021; Published: September 24, 2021

How to cite this article: V. Molaudzi, S. Shateyi and K. Muzhinji, Computational analysis for magnetohydrodynamics boundary layer flow of nanofluid over a stretching sheet in the presence of heat generation or absorption and chemical reaction, JP Journal of Heat and Mass Transfer 24(1) (2021), 157-189. DOI: 10.17654/HM024010157

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

References:

[1] A. Ebaid, F. A. Mutairi and S. M. Khaled, Effect of velocity slip boundary condition on the flow and heat transfer of Cu-water and TiO2-water nanofluids in the presence of a magnetic field, Advances in Mathematical Physics 2014 (2014), Article ID 538950, pp. 1-9. https://doi.org/10.1155/2014/538950.
[2] A. Alsaedi, M. Awais and T. Hayat, Effects of heat generation/absorption on stagnation point flow of nanofluid over a surface with convective boundary conditions, Communications in Nonlinear Science and Numerical Simulation 17 (2012), 4210-4223.
[3] Anuar Ishak, MHD boundary layer flow due to an exponentially stretching sheet with radiation effect, Sains Malaysiana 40(4) (2011), 391-395.
[4] Imran Anwar, Abdul Rahman Mohd Kasim, Zulkibri Ismail, Mohd Zuki Salleh and Sharidan Shafie, Chemical reaction and uniform heat generation or absorption effects on MHD stagnation-point flow of a nanofluid over a porous sheet, World Applied Sciences Journal 24(10) (2013), 1390-1398.
[5] S. Das, R. N. Jana and O. D. Makinda, MHD boundary layer slip flow and heat transfer of nanofluid past a vertical stretching sheet with non-uniform heat generation/absorption, International Journal of Nanoscience 13 (2014), 1450019. https://doi.org/10.1142/S0219581X14500197.
[6] R. Dharmendar, V. S. Rao and L. B. Babu, MHD boundary layer flow of nanofluid and heat transfer over a porous exponentially stretching sheet in presence of thermal radiation and chemical reaction with suction, International Journal of Mathematics Trends and Technology 47 (2017), 645-647.
[7] R. Dodda, R. Srinivasa, R. J. Anand and M. M. Rashidi, Boundary layer viscous flow of nanofluids and heat transfer over a nonlinearly isothermal stretching sheet in the presence of heat generation/absorption and slip boundary condition, Int. Nanosci. Nanotechnol. 12 (2016), 251-268.
[8] J. Fan, L. Wang and S. M. Khaled, Heat conduction in nanofluids: structure-property correlation, International Journal of Heat and Mass Transfer 54 (2011), 4349-4359.
[9] M. Ferdows, Md. Shakhaoath Khan, Md. Mahmud Alam and A. A. Afify, MHD boundary layer flow and heat transfer characteristics of a nanofluid over a stretching sheet, Acta Univ. Sapientiae, Mathematica 9 (2017), 140-161.
[10] M. Goyal, G. Gurjar and Y. Tailor, Heat and mass transfer of free convective micropolar fluid flow over a shrinking sheet, Proceedings of International Conference on Advancements in Computing and Management (ICACM), 2019, pp. 738-746.
[11] R. M. Gnaneswara and N. Sandeep, Computational modelling and analysis of heat and mass transfer in MHD flow past the upper part of a paraboloid of revolution, Eur. Phys. J. Plus 132 (2017), 1-18.
[12] S. Gupta, D. Kumar and J. Singh, MHD mixed convective stagnation point flow and heat transfer of an incompressible nanofluid over an inclined stretching sheet with chemical reaction and radiation, International Journal of Heat and Mass Transfer 118 (2018), 378-387.
[13] W. Ibrahim and M. Negera, The investigation of MHD Williamson nanofluid over stretching cylinder with the effect of activation energy, Advances in Mathematical Physics 2020 (2020), 1-16.
[14] A. Khanba, F. Maboodaw and I. M. Ismaila, MHD boundary layer flow and heat transfer of nanofluids over a nonlinear stretching sheet: a numerical study, Journal of Magnetism and Magnetic Materials 374 (2015), 569-576.
[15] C. Kleinstreuer, Y. Feng and S. M. Khaled, Experimental and theoretical studies of nanofluid thermal conductivity enhancement: a review, Nanoscale Res. Lett. 6 (2011), 229-241.
[16] G. Kumaran, N. Sandeep and M. El-Sayed Ali, Computational analysis of magnetohydrodynamic Casson and Maxwell flows over stretching sheet with cross diffusion, Results in Physics 7 (2017), 147-155.
[17] R. M. Kasmani, S. Sivasankaran, M. Bhuvaneswari and Z. Siri, Effect of chemical reaction on convective heat transfer of boundary layer flow in nanofluid over a wedge with heat generation/absorption and suction, Journal of Applied Fluid Mechanics 9 (2016), 379-388.
[18] R. Hari, H. Katariaa and R. Patel, Effects of chemical reaction and heat generation/absorption on magnetohydrodynamic (MHD) Casson fluid flow over an exponentially accelerated vertical plate embedded in porous medium with ramped wall temperature and ramped surface concentration, Propulsion and Power Research 8 (2018), 35-46.
[19] E. Magyari and A. J. Chamkha, Combined effect of heat generation or absorption and first-order chemical reaction on micropolar fluid flows over a uniformly stretched permeable surface: the full analytical solution, International Journal of Thermal Sciences 49 (2010), 1821-1828.
[20] R. E. D. Mohammed, Chemical reaction effect on MHD boundary layer flow of two-phase nanofluid model over an exponentially stretching sheet with a heat generation, Journal of Molecular Liquids 220 (2016), 718-725.
[21] J. Mohanty, J. K. Das and S. R. Mishra, Chemical reaction effect on MHD Jeffery fluid over a stretching sheet with heat generation/absorption, AMSE Journals 83 (2014), 1-17.
[22] S. S. Motsa, A new spectral relaxation method for similarity variable nonlinear boundary layer flow systems, Chemical Engineering Communications 201 (2014), 241-256.
[23] S. Motsa, S. Shateyi and Z. Makukula, On spectral relaxation method for entropy generation on an MHD flow and heat transfer of a Maxwell fluid, Journal of Applied Fluid Mechanical 8 (2015), 22-31.
[24] N. Mukwevho and S. Shateyi, Numerical analysis of unsteady MHD mixed convection flow past an infinite vertical plate in the presence of Dufour and Soret effects with viscous dissipation, JP Journal of Heat and Mass Transfer 16(1) (2019), 19-41.
[25] S. Shateyi, MHD flow of a Maxwell fluid past a vertical stretching sheet in the presence of thermophoresis and chemical reaction, Boundary Value Problems 196 (2013), 2-14. https://doi.org/10.1186/1687-2770-2013-196.
[26] S. Shateyi, S. S. Motsa and P. Sibanda, Homotopy analysis of heat and mass transfer boundary layer flow through a non-porous channel with chemical reaction and heat generation, Can. J. Chem. Eng. 6 (2010), 975-982.
[27] S. Shateyi and S. Motsa, Unsteady MHD convective heat and mass transfer past an infinite vertical plate in a porous medium with thermal radiation, heat generation and chemical reaction, Mohamed El-Amin, ed., Advanced Topics in Mass Transfer, 2011, pp. 146-162.
[28] S. Shateyi, F. Mabood, M. M. Rashidi, E. Momoniat and N. Freidoonimehr, MHD stagnation point flow heat and mass transfer of nanofluids in porous medium with radiation, viscous dissipation and chemical reaction, Advanced Powder Technology 27 (2011), 742-749.
[29] S. Ghosh and S. Mukhopadhyay, MHD mixed convection flow of a nanofluid past a stretching surface of variable thickness and vanishing nanoparticle flux, Pramana - J. Phys. 94 (2020), 61.
[30] P. R. Sudarsana, A. J. Chamkha and A. Al-Mudhaf, MHD heat and mass transfer flow of a nanofluid over an inclined vertical porous plate with radiation and heat generation/absorption, Advanced Powder Technology 28 (2017), 1008-1018.
[31] H. Vaidya, C. Rajashekhar, G. Manjunatha, K. V. Prasad, O. D. Makinde and K. Vajravelu, Heat and mass transfer analysis of MHD peristaltic flow through a complaint porous channel with variable thermal conductivity, Phys. Scr. 95 (2020), 1-11.
[32] L. Yang, J. Huang and M. Mao, Investigations of a new combined application of nanofluids in heat recovery and air purification, Powder Technology 360 (2020), 956-966.