EFFECTS OF BUOYANCY FORCE ON A HYDRODYNAMIC FLOW OVER A FLAT PLATE IN THE PRESENCE OF CHEMICAL REACTION AND NANOPARTICLES
Keywords:
similarity solution, self-similar, buoyancy, free convection, slip flow, impermeable surface, Sherwood number, Nusselt number, nanofluid, nanoparticle, heat transfer, Mass transferAbstract
The free convective heat transfer of an incompressible, viscous, electrically conducting fluid past a vertical impermeable flat plate under containing nanoparticles have been analyzed. Furthermore, using a similarity variable, the governing flow equations are transformed to non-linear coupled differential equations corresponding to a two point boundary value problem, which is solved using symbolic software Mathematica 8.0. A comparison of the solution technique is carried out with previous work and the results are found to be in good agreement. Numerical results for the coefficient of skin friction, local Nusselt number, Sherwood number, as well as the velocity, temperature and nanoparticles concentration profiles are presented for different physical parameters. The analysis of the obtained results show that the field of flow is significantly influenced by these parameters.
Downloads
References
Blasius H (1908). Grenzschicten in Flussigkeiten mit kleiner Reibung (translated version). Z. Math-phys 56: 1-37.
Aziz A, (2009). A Similarity solution for laminar thermal boundary layer overa flat plate with a convetive surface boundary condition. Commun Nonlinear Sci Numer Simulat, 14: 1064 -1068.
Ishak A (2010). Similarity Solutions for flow and heat transfer over a permeable surface with convective boundary condition. Applied Mathematics and Computation, 217: 837-842.
Ahmad SK, Isah BY and Altine MM (2008). Chemical reaction effect on natural convective flow between fixed vertical plates with suction and injection. Nigerian Association of Mathematical Physics 36: 131-140.
Yao S, Fang T and Zhong Y(2011). Heat transfer of a generalized stretching/shrinking wall problem with convective boundary conditions. Commun Nonlinear Sci Numer Simulat, 16: 752 -760.
Fang T and Lee CF (2006). Exact solutions of incompressible couette flow with porous walls for slightly rarefied gases. Heat Mass Transfer 442: 255-262.
Aziz A, (2010). Hydrodynamic and thermal slip flow boundary layers over a flat plate with constant heat flux boundary condition. Commun Nonlinear Sci Numer Simulat 15: 573-580.
Asogwa (2017). Numerical solution of hydromagnetic flow past an infinite vertical porous plate. Transactions of the Nigerian Association of Mathematical Physics 4: 143–150.
Alabraba MA, Warmate AG and Israel-Cookey C (2008). Heat and mass transfer in the unsteady hydromagnetic free convection flow in a rotating binary fluid. Nigerian Association of Mathematical Physics 12: 169-178.
Oghre EO and Ayeni RO (2002). Viscous dissipation effect in a viscoelastic flow over a stretching surface. Nigerian journal of Engineering research and development 1: 28-36.
Elbashbeshy EMA and Bazid MAA (2000). The effect of temperature-dependent viscosity on the heat transfer over a continuous moving surface. J. Phys. D: Appl. Phys. 33: 2716–2721.
Olanrewaju PO and Makinde OD (2012). Effects of thermal diffusion and diffusion thermo on chemically reacting MHD boundary layer flow of heat and mass transfer past a moving vertical plate with suction/injection. Arabian Journal for Science and Engineering 36: 1607-1619.
Karim ME and Uddin MJ (2011). Steady radiative free convection flow along a vertical flat plate in the presence of magnetic field. Daffodil international university journal of science and technology 6: 55-62.
Das K (2012). Impact of thermal radiation on MHD slip flow over a flat plate with variable fluid properties. Heat Mass Transfer 48: 767-778.
Chaim TC (1998). Heat transfer in a fluid with variable thermal conductivity over a linearly stretching sheet. ACTA MECHANICA 19: 63-72.
Chamkha AJ (2004). Unsteady MHD convective heat and mass transfer past a semi-infinite vertical permeable moving plate with heat absorption. International Journal of Engineering Science 42: 217-230.
Rahman MM, Aziz A, Al-Lawatia MA (2010).Heat transfer in micropolar fluid along an inclined permable plate with variable fluid properties. Int. J. of Thermal Sciences 49: 993-1002.
Rahman MM (2011). Locally similar solutions for hydromagnetic and thermal slip flow boundary layers over a flat plate with variable fluid properties and convective surface boundary condition. Meccanica 46: 1127–1143.
Akhigbe and Oghre Trans. Of NAMP Rahman MM, Rahman MA, Samad MA and Alam MS (2009). Heat transfer in micropolar fluid along a non- linear stretching sheet with temperature dependent viscosity and variable surface temperature. Int. J. Thermophys, 30; 1649 -1670.
Nachtsheim PR and Swigert P. Satisfaction of asymptotic boundary conditions in numerical solution of systems of nonlinear equations of boundary-layer type. NASA TN D-3004.
Parida SK, Panda S and Rout BR (2015). MHD boundary layer slip flow and radiative nonlinear heat transfer over a flat plate with variable fluid properties and thermophoresis. Alexandria Engineering Journal, 54: 941-953.
Etwire CJ, Seini YT and Azure DA (2015). MHD thermal boundary layer flow over a flat plate with internal heat generation, viscous dissipation and convective surface boundary conditions. Int. J. of Emerging Tech. and Advanced Engineering, 5: 2250-2459.
Jana S and Das K (2015). Influence of variable fluid properties, thermal radiation and chemical reaction on MHD slip flow over a flat plate. Italian Journal of Pure and Applied Mathematics, 34: 29-44.
Makinde OD (2012). Computational modelling of MHD unsteady flow and heat transfer toward a flat plate with Navier slip and newtonian heating. Brazilian Journal of Chemical Engineering 29: 159-166.
Helmy KA (1995). MHD boundary layer equations for power-law fluids with variable electric conductivity. Meccanica 30: 187-200.
Das K, Jana S and Kundu PK (2015). Thermophoretic MHD slip flow over a permeable surface with variable fluid properties. Alexandria Engineering Journal 54: 35-44.
Pakravan HA and Yaghoubi M (2011). Combined thermophoresis, Brownian motion and Dufour effects on natural convection of nanofluids. Int. J. of Thermal Sciences 50: 394-402.
Downloads
Published
Issue
Section
License
Copyright (c) 2024 The Transactions of the Nigerian Association of Mathematical Physics
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
