Theoretical study of magnetohydrodynamics (MHD) flow problem plays with a chemical reaction is of huge number of applications to scientists, engineers. In a lot of chemical engineering process chemical reaction take place involving a distant mass and working fluid in that the plate was touching. This process takes place in several manufacturing applications like developed of food processing, glassware, ceramic objects and polymer production. Foreign mass possibly here moreover naturally or mixed through the water or air. The existence of a distant mass in water and air effects few types of the chemical reactions. Chemical technology improved with the study of chemical effect. Such as food processing, generating the electric power and polymer fabrication. Ali et al. ^{1}^{ }examined the effects of Heat and Mass movement through free convection ﬂow in a vertical plate. Reddy et al. ^{2}^{ }analyzed the chemical reaction effects on MHD natural convection. Sehra et al. ^{3}^{ }examined the Convection heat mass transfer over a vertical plate with chemical reaction. Nayak et al.
The objective of the present work is to study the chemical reaction and heat source effects on MHD flow on micro polar fluid along vertical porous plate. It has been noticed that the chemical reaction and heat source parameter had an effect on velocity profile, temperature profile, and concentration profile. The governing partial differential equations are solved by Galerkin Finite Element Method. We have extended the problem of Bhagya Lakshmi ^{14}^{ }in the presence of chemical reaction, heat source parameter and the accuracy of present problem have been verified by comparing with theoretical solution of Bhagya Lakshmi ^{14} through figures and the agreement between the results is excellent. This has established confidence in the numerical results reported in this paper.
The transitory magnetohydrodynamic free convective flow of fluid over a growing accelerated plate with unstable temperature presented. Here x, y  axis are taken as along the plate in vertically straight way and normal to the plate. The plate is considering bound less in xdirection, all the flows quantity turn into selfsimilar missing from the leading edge. The total physical quantities turning into functions of t,y. By time t<=0. Fluids are at equal to t and C less important than the constant wall temperature, concentration correspondingly. By t>0, the plate was growing accelerated through a velocity= u exp (at) in its own plane and temperature of the plate, concentration are rising linearly with time t. An unvarying magnetic playing field amount H is applying in the ydirection. Therefore the magnetic field and the velocity are taken by H=(0,H ), q=(u,v). The fluids electrically conducted the magnetic Reynolds number is to a great extent less than 1 and therefore induced magnetic field can be uncared for in comparison with applying magnetic field in the non appearance of input electric field. The heat because of viscous dissipation considered into an account below the above assumptions with Boussines mass, energy, momentum and species governing the free convection boundary layer flows over vertical plate can be studied as:
Continuity equation:
Momentum equation:
The Energy equation:
The Concentration equation:
Boundary conditions can be written in dimensional form as
Where A=
Let us familiarize the subsequent dimensionless
Then the resultant nondimensional equations are:
Boundary conditions can be written in dimensionless form as
The finite element method (FEM) is employed to solve the transformed, coupled boundary value problem defined by Equations. (7)–(9) under Eq.(10). The fundamental steps involved in finiteelement analysis of a problem are as follows:
Step 1: Discretization of the fluid domain into finite elements
Step 2: Generation of element equations
Step 3: Assembly of element equations
Step 4: Imposition of boundary conditions
Step 5: Solution of assembled equations
Numerical study of a dissipative fluid flow
The variation formulation associated with Equations. (7) – (9) are joined with boundary conditions (10), we represent the velocities u, temperature θ and concentration C. By applying the Galerkin finite element method for equation (7) over a typical twonodded linear element
We write the element equation for the elements
Where
M Gr Gc Pr Sc a S E K1 t Skin friction 4 5 5 0.71 0.22 0.5 0.5 0.5 0.5 0.2 1.99328 6 5 5 0.71 0.22 0.5 0.5 0.5 0.5 0.2 2.00754 8 5 5 0.71 0.22 0.5 0.5 0.5 0.5 0.2 2.02190 2 5 5 0.71 0.22 0.5 0.5 0.5 0.5 0.2 0.7457 2 5 5 1.0 0.22 0.5 0.5 0.5 0.5 0.2 0.8456 2 5 5 7.0 0.22 0.5 0.5 0.5 0.5 0.2 1.9312 2 5 5 0.71 0.5 0.5 0.5 0.5 0.5 0.2 1.06449 2 5 5 0.71 2.0 0.5 0.5 0.5 0.5 0.2 1.34124 2 5 5 0.71 3.0 0.5 0.5 0.5 0.5 0.2 1.97356 2 5 5 0.71 0.22 0.5 0.5 0.5 0.5 0.2 1.1051 2 5 5 0.71 0.22 1.0 0.5 0.5 0.5 0.2 1.4678 2 5 5 0.71 0.22 2.0 0.5 0.5 0.5 0.2 1.7856 2 5 5 0.71 0.22 0.5 0.5 0.5 0.5 0.2 0.14901 2 5 5 0.71 0.22 0.5 1.0 0.5 0.5 0.2 0.15634 2 5 5 0.71 0.22 0.5 2.0 0.5 0.5 0.2 0.16787 2 5 5 0.71 0.22 0.5 0.5 0.5 0.5 0.2 0.37851 2 5 5 0.71 0.22 0.5 0.5 0.5 1.0 0.2 0.36234 2 5 5 0.71 0.22 0.5 0.5 0.5 2.0 0.2 0.35781 2 5 5 0.71 0.22 0.5 0.5 0.5 0.5 0.2 1.43456 2 7 7 0.71 0.22 0.5 0.5 0.5 0.5 0.2 1.36853 2 10 10 0.71 0.22 0.5 0.5 0.5 0.5 0.2 1.23456 2 5 5 0.71 0.22 0.5 0.5 0.5 0.5 0.2 0.14321 2 5 5 0.71 0.22 0.5 0.5 2.0 0.5 0.2 0.12348
M Pr E S t NU 2 0.07 0.05 0.5 0.2 0.14065 3 0.07 0.05 0.5 0.2 0.14114 5 0.07 0.05 0.5 0.2 0.14209 2 0.07 0.05 0.5 0.6 0.43462 3 0.07 0.05 0.5 0.6 0.43536 5 0.07 0.05 0.5 0.6 0.43677 2 0.07 0.05 0.5 0.2 0.14901 2 1.0 0.05 0.5 0.2 0.35726 2 3.0 0.05 0.5 0.2 0.38420 2 0.07 0.05 0.5 0.6 0.43536 2 3.0 0.05 0.5 0.6 1.15277 2 0.07 0.05 0.5 0.2 0.14901 2 0.07 3.0 0.5 0.2 0.14653 2 0.07 7.0 0.5 0.2 0.14317 2 0.07 0.05 0.5 0.6 0.44710 2 0.07 3.0 0.5 0.6 0.44340 2 0.07 7.0 0.5 0.6 0.43838 2 0.07 0.05 0.5 0.2 0.14901 2 0.07 0.05 3.0 0.2 0.14635
Sc K1 T Sh 0.22 0.5 0.2 0.26167 0.6 0.5 0.2 0.32474 0.96 0.5 0.2 0.35716 2.00 0.5 0.2 0.37851 0.22 0.5 0.6 0.78501 0.6 0.5 0.6 1.00599 0.96 0.5 0.6 1.07148 2.00 0.5 0.6 1.13554 0.22 0.5 0.2 0.26167 0.22 2.0 0.2 0,26372 0.22 4.0 0.2 0.26642 0.22 0.5 0.6 0.78501
In order to obtain purpose of problem we calculate arithmetic solutions shown used for nondimensional profiles we have plotted Schmidt number Sc = 0.22, Eckert number E, Acceleration parameter (a), Mass Grashof number (Gc), Magnetic parameter (M), Heat source parameter (S), Chemical reaction parameter (K1), Prandtl number Pr = 0.71, Thermal Grashof number (Gr) and time t = 0.2 ,0.6.
The study on chemical reaction and heat source effects on the problem of Magneto hydrodynamics free convection of dissipative flow fluid past an exponentially accelerated plate. We studied velocity, concentration and temperature fields by different parameters like heat source parameter, Prandtl value, Schmidt number, modified Grashof and Grashof number, acceleration parameter, chemical reaction parameter. We observed that velocity fields decreases with respect to t=0.2,0.6 increases in magnetic parameter (M), Chemical reaction parameter K1, Modified Grashof number Gc, Prandtl number Pr, acceleration parameter a, Grashof number Gr. The following conclusions can be drawn
The velocity, temperature fields increases with increasing the heat source parameter.
The velocity flow of the fluid increases by means of increasing the viscous dissipation.
We observed those Schmidt number SC increases then the concentration profiles as decreases.
We observe that skin friction values are increases time t by means of increasing in M, Sc, Pr, S and a . While it decreases with an increase in thermal Gr, Gc and K1. Gr, Gc and k1 values are increases then skin friction values are decreases.
We noticed that M, Pr increases with increasing the Nusselt value. E,S are increases with decreasing in Nusselt value.
We noticed that K1, Sc values are increases with increasing the Sherewood number.
The same problem in future can be extended by Duffer effect


A Constant 



C Dimensionless concentration 



Sc Schmidt number 



g Acceleration due to gravity 



D Chemical molecular diffusivity 







k Thermal conductivity fluid 

M Magnetic field parameter 





R Radiation parameter 









t Dimensionless time 

u Dimensionless velocity 





y Dimensionless coordinate axis normal to the plate 





α The fluid thermal diffusivity 

µ viscosity of fluid 

v kinematic viscosity 



erf Error function 









β coefficient of Volumetric c thermal expansion 





w Conditions at the wall 
