March 2003
Intermediate to advanced
1056 pages
32h 58m
English
book
Transport Processes and Separation Process Principles (Includes Unit Operations) Fourth Edition
by Christie John Geankoplis
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5.4. NUMERICAL FINITE-DIFFERENCE METHODS FOR UNSTEADY-STATE CONDUCTION
5.4A. Unsteady-State Conduction in a Slab
1. Introduction
As discussed in previous sections of this chapter, the partial differential equations for unsteady-state conduction in various simple geometries can be solved analytically if the boundary conditions are constant at T = T1 with time. Also, in the solutions the initial profile of the temperature at t = 0 is uniform at T = T0. The unsteady-state charts used also have these same boundary conditions and initial condition. However, when the boundary conditions are not constant with time and/or the initial conditions are not constant with position, numerical methods must be used.
Numerical calculation methods for unsteady-state ...
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