Boundary value problems in transport with oblique and mixed derivative boundary conditions: More on steady state solutions

✍ Scribed by Doraiswami Ramkrishna; Ganesan Narsimhan; Neal R. Amundson

• Publisher: Elsevier Science
• Year: 1981
• Tongue: English
• Weight: 522 KB
• Volume: 36
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(81)80064-4

✦ Synopsis

Boundary value problems involving oblique or mixed second derivative boundary conditions[ I, 31 arise in the description of heat (or mass) transfer in stationary media which are peripherally cooled (or leached) by a fluid in which the temperature (or concentration) is varying significantly in the direction of flow. By decomposing the energy equation into a pair of first order systems Ramkrishna and Amundson have shown[ I] how the originally non-selfadjoint boundary value problems can be reduced to selfadjoint problems. The foregoing decomposition allows for an elegrant analytical solution of the boundary value problems which is also numerically efficient. This paper relaxes certain redundant constraints imposed earlier on the method of solution[l] and demonstrates the power of the method by actual numerical calculations for a constant heat source function.