Heat Equation 2D: Conservation of Energy

[jahlin]

Homework Statement

heat equation of for 2 dimensional body(stationary)...heat is supplied to a body per unit volume and per unit time and by using conservation of energy principle the following equation is derived..
$$\int$$Qt dA= $$\int$$qt d$$\ell$$

the intergral on the right is a line integral on a closed curve.where t=t(x,y) denotes the thickness in the z-direction of the located in the xy - plane.

The Attempt at a Solution

what i don't get is its a 2-dimensional body ..how come it has thickness ?wont it be 3D then ?the graph of a function of 2 variables is a surface without thickness as far i know..

 

[Andrew Mason]

Homework Statement

heat equation of for 2 dimensional body(stationary)...heat is supplied to a body per unit volume and per unit time and by using conservation of energy principle the following equation is derived..
$$\int$$Qt dA= $$\int$$qt d$$\ell$$

the intergral on the right is a line integral on a closed curve.


where t=t(x,y) denotes the thickness in the z-direction of the located in the xy - plane.

The Attempt at a Solution

what i don't get is its a 2-dimensional body ..how come it has thickness ?wont it be 3D then ?the graph of a function of 2 variables is a surface without thickness as far i know..

You will have to explain the question better. Why not give us the whole question exactly as it is worded.

It appears that what they mean by a two dimensional body is simply that there is no variation in the third dimension.

AM