ABSTRACT
This chapter examines steady-state potential flow problems by the control-volume based finite volume method. It considers the application of the finite volume method to one-dimensional steady-state heat conduction problems having various types of boundary conditions. The general form of finite difference equation for steady-state heat conduction problems, equation, is available for one-, two- and three-dimensional problems. Consider one-dimensional steady-state heat conduction problems in a steel plate, hollow cylinder and hollow sphere. The boundary conditions are generally considered to describe the heat flux rate around the outer boundary of the calculation domain. In heat conduction problems, the coefficient matrix in the linear equation has a tridiagonal system, in which all the non-zero elements in the coefficient matrix must be on the main diagonal or on the two diagonals just above and below the main diagonal.
