Free Convective Boundary Layer Flow of Radiating and Reacting MHD Fluid Past a Cosinusoidally Fluctuating Heated Plate

• Published in: International journal of applied and computational mathematics 2017-12, Vol.3 (Suppl 1), p.261-294
• Main Authors: Ram, Paras, Singh, Hawa, Kumar, Rakesh, Kumar, Vikas, Joshi, Vimal Kumar
• Format: Article
• Language: English
• Subjects: Absorption; Applications of Mathematics; Applied mathematics; Boundary layer; Boundary layer flow; Chemical reactions; Computational fluid dynamics; Computational mathematics; Computational Science and Engineering; Convective flow; Differential equations; Fluid flow; Heat; Heat generation; Hydrodynamics; Magnetic permeability; Magnetohydrodynamics; Mass transfer; Mathematical and Computational Physics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Nonlinear differential equations; Nonlinear equations; Nuclear Energy; Numerical analysis; Operations Research/Decision Theory; Original Paper; Partial differential equations; Permeability; Perturbation methods; Prandtl number; Schmidt number; Skin friction; Temperature profiles; Theoretical; Thermal radiation
• ISSN: 2349-5103; 2199-5796
• DOI: 10.1007/s40819-017-0355-z

The work is focused on unsteady magneto-hydrodynamics free convective flow past a moving vertical porous plate in the presence of thermal radiation and first order chemical reaction with viscous dissipation. The temperature of the plate is assumed spanwise cosinusoidally fluctuating with time by taking into account of heat generation. The second order perturbation technique is employed to investigate the non-linear partial differential equations governing the fluid flow which are non-dimensionalized by introducing the similarity transformations. For the numerical computation, flex PDE Solver is used to study the effects of magnetic intensity, radiation, porous permeability, Eckert number, Schmidt number and heat generation/absorption parameters on velocity and temperature profiles. Also, the skin friction coefficients, the rate of heat transfer and the rate of mass transfer at the surface of the plate are computed numerically. The results show that within the boundary layer, the velocity and temperature are found to decrease with the increasing values of Prandtl number and radiation parameter however the trend is reverse with respect to porous permeability and heat generation/ absorption parameters.