How many boundary conditions do we need to specify for a two

Solution

Four boundary conditions to specify a two dimensional heat transfer problem. The temperature distribution in a medium depends on the conditions at the boundaries of the medium as well as the heat transfer mechanism inside the medium to describe a heat transfer problem two boundary conditions must be given for each direction of the coordinate system along the heat transfer so we have to specify two boundary condition for 1 dimensional FOUR boundary condition for two dimensional & six boundary condition for three dimensional systems consider a rectangular plate in a two dimensional coordinate at temperature T1 & T2, the boundary conditions are : X(0)=0 T=T1

X(1)=A T=T1

Y(0)=0 T=T1,

Y(1)=B T=T2

there are infinite number of solutions which satisfy fourier two dimensional differential equation for instant T = constant T =A+Bx+Cy+Dxy by applying the boundary value of X and Y we get the solution