CH E374 Lecture Notes - Lecture 7: Stabilisation Force In Bosnia And Herzegovina, Secant Method, Rhode Island Route 2

• School: University of Alberta
• Department: Chemical Engineering
• Course: CH E374
• Professor: Joe Mmbaga

Document Summary

Lecture notes che 374 computational methods in engineering. Module 7: ordinary differential equations boundary value problems (bvp) Consider a rod whose ends are maintained at constant temperatures, t1 and tl as shown in figure 1. The rod loses heat to the environment which is at a temperature ta. (ambient temperature). The rate of heat loss by convection from the sides of the rod depends on the heat transfer coefficient, hc, and the ambient temperature, ta. The partial differential equation governing temperature distribution as a function of x and t is. Suppose we are only interested in the steady-state solution. At steady-state the pde turns into an ode: (7. 1) The two boundary conditions of this second-order ode are. Note that the conditions are given at two different locations (x=0 and x=l). Ode"s (module 6) can not directly deal with boundary value problems. 1 problems the state of the system is fully known at one point (e. g. at t=0).