Non-Linear Convection in Chemically Reacting Fluid with an Induced Magnetic Field across a Vertical Porous Plate in the Presence of Heat Source/Sink

2018 ◽  
Vol 387 ◽  
pp. 428-441
Author(s):  
P.R. Athira ◽  
B. Mahanthesh ◽  
Bijjanal Jayanna Gireesha ◽  
Oluwole Daniel Makinde
Keyword(s):  
Magnetic Field ◽  
Heat Source ◽  
Thermal Field ◽  
Porous Plate ◽  
Magnetic Field Effect ◽  
Analytic Solutions ◽  
Stream Velocity ◽  
Induced Magnetic Field ◽  
Non Linear ◽  
Source Sink

An investigation is carried out to observe the impacts of non-linear convection and induced magnetic field in the flow of viscous fluid over a porous plate under the influence of chemical reaction and heat source/sink. The plate is subjected to a regular free stream velocity as well as a suction velocity. The subjected non-linear problem is non-dimensionalized and analytic solutions are presented via perturbation method. The graphs are plotted to analyze the effect of relevant parameters on velocity, induced magnetic field, heat and mass transfer fields as well as friction factor, current density, Nusselt and Sherwood numbers. It is established that nonlinear convection aspect is destructive for thermal field and its layer thickness. The magnetic field effect enhances the thermal field while it reduces the velocity field. Also, the nonlinear effect subsides heat transfer rate significantly.

scholarly journals Numerical and analytical approach for Sakiadis rheology of generalized polymeric material with magnetic field and heat source/sink

2020 ◽  
Vol 24 (2 Part B) ◽  
pp. 1183-1194 ◽  
Author(s):  
Muhammad Awais ◽  
Saeed Awan ◽  
A Aqsa ◽  
Nimra Muqaddass ◽  
Saeed Rehman ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Heat Source ◽  
Polymeric Material ◽  
Numerical Solutions ◽  
Convective Heating ◽  
Flux Analysis ◽  
Fluid Temperature ◽  
Non Linear ◽  
Non Linear System ◽  
Source Sink

In this analysis, Sakiadis rheology of the generalized polymeric material has been presented with magnetic field and heat source/sink. Convective heating process with thermal radiations have been incorporated. Mathematical modeling has been performed for the conversion of physical problem into set of non-linear equations. Suitable transformations have been employed in order to convert the derived PDE into set of non-linear ODE. Analytical as well as finite difference method based numerical solutions for the velocity and temperature profiles are computed. Graphical and numerical illustrations have been presented in order to analyze the behavior of involved physical quantities. Error analysis for the non-linear system has been presented in order to show the validity of the obtained results. Bar charts have been plotted to present the heat flux analysis. Tabular values of local Nusselt number are computed for the involved key parameters. Heat transfer rates against magnetic and porosity effects found to be decreased since magnetic field and porosity retard the molecular movement of the fluid particles. This controlling property of magnetic field and porosity effects have application in MHD power generation, electromagnetic casting of metals, MHD ion propulsion, etc. Moreover internal heat generation and absorption effects have opposite effects on the fluid temperature.

Unsteady MHD Free Convection Flow of a Kuvshinski Fluid Past a Vertical Porous Plate in the Presence of Chemical Reaction and Heat Source/Sink

2015 ◽  
Vol 14 ◽  
pp. 13-27 ◽  
Author(s):  
S. Harinath Reddy ◽  
M.C. Raju ◽  
E. Keshava Reddy
Keyword(s):  
Magnetic Field ◽  
Heat Source ◽  
Free Convection ◽  
Chemical Reaction ◽  
Porous Plate ◽  
Radiation Absorption ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Vertical Porous Plate ◽  
Source Sink

Unsteady magneto hydrodynamic (MHD) free convection flow of a viscous, incompressible and electrically conducting, well known non-Newtonian fluid named as Kuvshinski fluid past an infinite vertical porous plate in the presence of homogeneous chemical reaction, radiation absorption and heat source/sink is studied analytically. The plate is assumed to move with a constant velocity in the direction of fluid flow. A magnetic field of uniform strength is applied perpendicular to the plate, which absorbs the fluid with a suction that varies with time. The dimensionless governing equations are solved analytically using two terms harmonic and non-harmonic functions. The expressions for the fields of velocity, temperature and concentration are obtained. With the aid of these the expressions for skin friction, Nusselt number and Sherwood number are derived. The effects of various physical parameters on the flow quantities are studied through graphs and tables. For the validity, we have checked our results with previously published work and found in good agreement. Velocity decreases for an increase in visco elastic parameter α2, heat absorption coefficient φ, the chemical reaction parameter γ , the magnetic field parameter M, the Prandtl number Pr, the Schmidt number Sc, and increases for increase in Grashof number Gm, the radiation absorption parameter Q1

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