The 2-D flow and heat transfer of incompressible viscous fluid through porous medium has important application in the polymer industry. The study of heat transfer and flow field is necessary for determining the quality of the final product of such process. Dutta et al (1985) discussed the temperature field in flow over a stretching surface with uniform heat flux. Attia (1999) studied the Transient MHD flow and heat transfer between two parallel plates with temperature dependent viscosity. Garg (1994) gave the Heat Transfer due to stagnation point flow of a Non-Newtonian fluid. Malashetty, et al (1997) studied the Two-phase magneto hydrodynamic flow and heat transfer in an inclined channel. Ahmed et al (2004) gave the Hall Effect on unsteady MHD Couette flow and heat transfer of a Bingham fluid with suction and injection. Ogulu et al (2007) discussed the Heat and mass transfer of an unsteady MHD natural convection flow of a rotating fluid past a vertical porous flat plate in the presence of radiative heat transfer. Pop (2008) Magneto hydrodynamic (MHD) flow and heat transfer due to a stretching cylinder. Prasad et al (2009) studied Heat transfer in the MHD flow of a power law fluid over a non-isothermal stretching sheet. Pop et al (2010) discussed the MHD mixed convection boundary layer flow towards a stretching vertical surface with constant wall temperature. This paper is concerned with a study, 2-D stagnation flow of an electrically conducting fluid through porous medium. The numerical solution obtained for governing momentum and energy equation.

The two-dimensional study flow of viscous incompressible fluid through porous medium with velocity proportional to the distance from the stagnation point in presence of applied normal magnetic field of constant strength H. the surface has uniform temperature wT and a linear velocity wu, while the velocity of the flow of external to the boundary layers is U*(x). The systems of boundary layer equation are:

0    

…. (1)

uu



     



2

2

… (2)

And

)(2222

2

 

     



TuCp

…. (3)

The corresponding boundary conditions are

2

TdxUuy,:

…. (4)

Where c is constant d is proportional to the free stream velocity far away from the surface, and T is constant temperature of the fluid far away from sheet,  is the density,  is the electrical conductivity,  is the magnetic permeability, cp is the coefficient of viscosity, q is the volumetric rate of heat generation, K is the thermal conductivity,  is the coefficient of viscosity. The continuity equation (1) are identically satisfied by the stream function ,xy defined as

 …. (4)

The dimensionless variables are defined

,,,

TTcxyxcfyTT

 

 …. (5)

Using (5) and the equation (4) become in the form ,,uxycxfvcf …. (6) Applying (5) and (6) the equations (2) and (3) becomes in the form 220ffffmf …. (7)

221Pr0PrfHaEcfB

…. (8)

The corresponding boundary conditions are

0,0,0,0 ,,0



 

 .... (9)

Where c Is the velocity parameter

 

Is the Hartmann number



Is the prandtl number



 

 Is the Eckert number



Is the porosity parameter

qBcCp

Is the dimensionless heat generator Numerical solution of the equation (7) and (8) we apply the technique

 

2 0 2 0





   

 

 

…. (10)

Substitute the equation (10) in equation (7) and (8), equating the coefficient of like powers of2Ha, we get

220000 0000

1PrPr



  

…. (11)

10101101 21010101

20 1Pr0Pr

ffEcfB

 

…. (12)

With the boundary conditions are

0:,0,0,jiff

The velocity profiles against  are plotted for the various value of  and Ha Show in figure-1. In this figure we observed that the thickness of the velocity layer decreases1. It can be seen that the flow has inverted layer stricture when 1 and velocity distribution decreases with increases Ha. 1 The velocity distribution increases with increasing the value of  and H. The figure-2 represents the temperature distribution for the value  and Ec i.e.  =.3 and Ec=.1 the temperature distribution decreases with increasesand Ec. The fixed value of, Pr, and Ec the temperature distribution increases with increasing the value of Ha.

0

0.5

1

1.5

2

2.5

3

3.5 1234567891011



()f

Figure-1 velocity distribution against η

0

0.2 0.4 0.6 0.8

1

1.2

12345678



Temperature distribution against  for the various values  and Ha with Pr=.06 and Ec=0.1. 1. B.K. Dutta, A.S. Gupta, temperature field in flow over a stretching surface with uniform heat flux, Int. Comm. Heat mass Transfer, vol. 12(1985), 89-94. 2. J.N. Tokis, Un study MHD free convective flows in a rotating fluid. Astrophys and Space Sci. Vol. 119(1986), 305. 3. V. K. Garg, Heat Transfer due to stagnation point flow of a Non-Newtonian fluid. Acta Mech., Vol. 104(1994), 159-171. 4. M. S. Malashetty, J. C. Umavathi, Two-phase magneto hydrodynamic flow and heat transfer in an inclined channel. International Journal of Multiphase Flow, Vol. 23(1997), 545-560. 5. Hazem Ali Attia, Transient MHD flow and heat transfer between two parallel plates with temperature dependent viscosity. Mechanics Research Communications, Vol. 26(1999), 115-121. 6. M. H. Kamel Unsteady MHD convection through porous medium with combined heat and mass transfer with heat source/sink. Energy Conversion and Management, Vol. 42(2001), 393-405. 7. H. A. Attia: Unsteady MHD flow and heat transfer of dusty fluid between parallel plates with variable physical properties. Applied Mathematical Modeling, Vol. 26(2002), 863-875. 8. H. A. Attia and M. E. S. Ahmed, Hall Effect on unsteady MHD Couette flow and heat transfer of a Bingham fluid with suction and injection. Applied Mathematical Modeling, Vol. 28(2004), 1027-1045. 9. P. S. Datti, K. V. Prasad, M. S. Abel and A. Joshi (2004): MHD visco-elastic fluid flows over a non-isothermal stretching sheet. International Journal of Engineering Science, Volume 42, Pp. 935-946. 10. A. Ishak, R. Nazar and I. Pop, Magneto hydrodynamic (MHD) flow and heat transfer due to a stretching cylinder. Energy Conversion and Management, Vol. 49 (2008), 3265-3269.