Spectral Quasi-linearization for MHD Nanofluid Stagnation Boundary Layer Flow due to a Stretching/Shrinking Surface

Document Type: Research Paper

Authors

1 Department of Mathematics, Brainware University, 398 Ramkrishnapur Road, Barasat, North 24 Parganas, Kolkata, West Bengal 700125, India

2 Durgapur Institute of Advanced Technology and Management, Maulana Abul Kalam Azad University of Technology, B.Tech 3rd year, Department of Chemical Engineering, West Bengal 713212, India

Abstract

This article concentrates on the effect of MHD heat mass transfer on the stagnation point nanofluid flow over a stretching or shrinking sheet with homogeneous-heterogeneous reactions. The flow analysis is disclosed in the neighborhood of stagnation point. Features of heat transport are characterized with Newtonian heating. The homogeneous-heterogeneous chemical reaction between the fluid and diffusing species is included in the mass diffusion equation. The MHD stagnation boundary layer flow is explored in the presence of heat generation/absorption. Numerical convergent solutions are computed via the spectral quasi-linearization method (SQLM). The physical aspects of different parameters are discussed through graphs. 

Keywords

[1] Song, X., Williams,W. R., Schmidt, L. D., Aris, R., Bifurcation behavior in homogeneous-heterogeneous combustion: II. Computations for stagnation-point flow, Combustion Flame, 84(3-4), 1991, 292-311.

[2] Ikeda, H., Libby, P.A., Williams, F.A., Catalytic combustion of hydrogen-air mixtures in stagnation flows. Combustion Flame, 93, 1993, 138-148,.

[3] Williams,W.R., Stenzel,M.T., Song, X., Schmidt, L.D., Bifurcation behavior in homogeneous-heterogeneous combustion. I. Experimental results over platinum, Combustion Flame, 84, 1991, 277-291.

[4] Kameswaran,P.K., Shaw,S., Sibanda, P., Murthy, P.V.S.N., Homogeneous-heterogeneous reactions in a nanofluid flow due to a porous stretching sheet, Int J Heat Mass Transfer, 57(2), 2013, 465-472.

[5] Hayat, T., Akram,J., Alsaedi, A., Zahir, H., Endoscopy and homogeneousheterogeneous reactions inMHD radiative peristaltic activity of Ree-Eyring fluid, Results in Physics, 8, 2018, 481-488.

[6] Rahman,R. G. A. Khadar, M. M., Megahed, A. M., Melting phenomenon in magnetohydrodynamics steady flow and heat transfer over a moving surface in the presence of thermal radiation, Chin Phys B, 22, 2013, 030202.

[7] Mostafa, A., Mahmoud, A., Heat and mass transfer in stagnation-point flow towards a vertical stretching sheet embedded in a porous medium with variable fluid properties and surface slip velocity. Chem Eng Commun, 200, 2012, 543-62.

[8] Hsiao, K.L., To promote radiation electrical MHD activation energy thermal extrusion manufacturing system efficiency by using Carreau-Nanofluid with parameters control method, Energy, 130, 2017, 486-499.

[9] Hsiao, K.L., Combined Electrical MHD Heat Transfer Thermal Extrusion System Using Maxwell Fluid with Radiative and Viscous Dissipation Effects, Applied Thermal Engineering, doi: 10.1016/j.applthermaleng.2016.08.208.

[10] Hsiao, K.L., Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia feature, International Journal of Heat and Mass Transfer, 112, 2017, 983-990.

[11] Hsiao, K.L., Stagnation electrical MHD nanofluid mixed convection with slip boundary on a stretching sheet, Applied Thermal Engineering, 98, 2016, 850-861.

[12] Mukhopadhyay, S., Effects of thermal radiation and variable fluid viscosity on stagnation point flow past a porous stretching sheet, Meccanica, 48, 2013, 1717-1730.

[13] Rostami,M.,  Dinarv, S.,   Pop, I., Dual solutions for mixed convective stagnation-point flow of an aqueous silica–alumina hybrid nanofluid. Chinese Journal of Physics, 56(5), 2018, 2465-2478.

[14] Akbar, N.S., Nadeem, S., UlHaq, R., Shiwei, Ye, MHD stagnation point flow of Carreau fluid toward a permeable shrinking sheet: Dual solutions, Ain Shams Engineering Journal, 5(4), 2014, 1233-1239.

[15] Elnajjar, E.J., Qasem, M. A., Fathi, M.A., Unsteady flow and heat transfer characteristics of fluid flow over a shrinking permeable infinite long cylinder, Journal of Heat Transfer, 138(9), 2016, 091008.

[16] Mondal, H., Almakki, M., Sibanda, P., Dual solution for three-dimensional MHD nanofluid flow with entropy generation, Journal of Computational Design and Engineering, doi: 10.1016/j.jcde.2019.01.003.

[17] Al Sakkaf, L.Y., Qasem, M.A., Al Khawaja, U.A., A Numerical Algorithm for Solving Higher-Order Nonlinear BVPs with an Application on Fluid Flow over a Shrinking Permeable Infinite Long Cylinder, Complexity, 2018, 2018, 1-11.

[18] RehmanI K,U., Shahzadi, M.Y., Qasem M.A., Mostafa, Z., On heat transfer in the presence of nano-sized particles suspended in a magnetized rotatory flow field, Case Studies in Thermal Engineering, 14, 2019, 100457.

[19]Rehman, K.U., Qasem, M. A., Malik, M. Y., Symmetry analysis on thermally magnetized fluid flow regime with heat source/sink, Case Studies in Thermal Engineering, 14, 2019, 100452.

[20] Vishnu, G. N., Qasem, M.A., SaraAl, F., Shymaa, D., Riga–Plate flow of γ Al2O3-water/ethylene glycol with effective Prandtl number impacts, Heliyon, 5(5), 2019, 01651.

[21] Ganesh, N. V., Qasem M. A., Ali J. C., A numerical investigation of Newtonian fluid flow with buoyancy, thermal slip of order two and entropy generation, Case Studies in Thermal Engineering, 13, 2019, 100376.

[22] Ganesh, N.V., Kameswaran, P. K., Al-Mdallal, Q.M., Hakeem, A. K. A., Ganga, B., Non-Linear thermal radiative marangoni boundary layer flow of gamma Al2O3 nanofluids past a stretching sheet, Journal of Nanofluids, 7(5), 2018, 944-950.

[23] Ganesh, N. V., Qasem M. A., Kameswaran, P. K., Numerical study of MHD effective Prandtl number boundary layer flow of Al2O3 nanofluids past a melting surface, Case Studies in Thermal Engineering, 13, 2019, 100413.

[24] Ganesh, N. V., Hakeem, A. A., 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 Engineering Journal, 9(4), 2018, 939-951.

[25] Das, S., Mondal, H., Kundu, P.K., Sibanda, P., Spectral quasilinearization method for Casson fluid with homogeneous-heterogeneous reaction in presence of nonlinear thermal radiation over an exponential stretching sheet, Multidiscipline Modeling in Materials and Structures, 15(2), 2019, 398-417.

[26] Sithole, H.,Mondal, H., Magagul, V.M.,Sibanda, P., Motsa, S., Bivariate spectral local linearisation method (BSLLM) for unsteady MHD micropolar-nanofluids with homogeneous-heterogeneous chemical reactions over a stretching surface, International Journal of Applied and Computational Mathematics, 5, 2019, 5-12

[27] Mondal, H., Mishra, S., Kundu, P.K., Sibanda, P., Entropy generation of variable viscosity and thermal radiation on magneto nanofluid flow with dusty fluid, Journal of Applied and Computational Mechanics, 6(1), 2020, 171-182.

[28] Pal, D., Mondal, S., Mondal,H., Entropy generation on MHD Jeffrey nanofluid over a stretching sheet with nonlinear thermal radiation using spectral quasilinearization Method, International Journal of Ambient Energy, 2019,doi: 10.1080/01430750.2019.1614984.

[29] Wang, C.Y., Stagnation flow towards a shrinking sheet, Int J Non-Linear Mech, 43, 2008, 377-382.

[30] Ishak, A., Lok, Y.Y., Pop, I., Stagnation point flow over a shrinking sheet in a micropolar fluid, Chem Eng Commun, 197, 2010, 1417-1427.

[31] Shaw,S., Kameswaran, P. K., Sibanda, P., Homogeneous-heterogeneous reactions in micropolar fluid flow from a permeable stretching or shrinking sheet in a porous medium, Boundary Value Problems, 77, 2013, 1-10.

[32] Rosali, H., Ishak, A., Pop.I., Micropolar fluid flow towards a stretching/shrinking sheet in a porous medium with suction, Int Commun Heat Mass Transf, 39, 2012, 826-829.

[33] Bhattacharyya, K., Dual solutions in boundary layer stagnation-point flow and mass transfer with chemical reaction past a stretch-ing/shrinking sheet, Int Communications in Heat and Mass Transfer, 38, 2011, 917-922.