Problem Solving in Chemical and Biochemical Engineering with POLYMATH,

Chapter 9. Heat Transfer

One-Dimensional Heat Transfer Through a Multilayered Wall

Concepts Demonstrated

Calculation of one-dimensional heat flux and temperature distributions for heat conduction including variation of thermal conductivity with temperature and convection as a boundary condition.

Numerical Methods Utilized

Solution of ordinary differential equations in sequence which require matching of boundary conditions.

Problem Statement

Heat transfer by conduction in solids and fluids follows Fourier’s law. One-dimensional heat transfer by conduction is described by

Equation 9-1. 

where q_x is the heat transfer in the x direction in W or J/s, A is the ...