Application of Extremal Distributions in the Design of Thermal Systems

[+] Author and Article Information
S. S. Rao

Department of Mechanical Engineering, Indian Institute of Technology, Kanpur-208016, India

B. D. Gupta

Department of Mechanical Engineering, H. B. Technological Institute, Kanpur, India

J. Mech. Des 102(3), 481-489 (Jul 01, 1980) (9 pages) doi:10.1115/1.3254772 History: Received May 24, 1979; Online November 17, 2009


Three types of extreme value distributions are fitted to the maximum daily temperature and solar radiation. It is found that type III distribution for the largest value fits the data most closely. A methodology using the maximum yearly temperature data and extremal distributions is developed for the optimum design of refrigerated warehouses. The use of the concept of return period in the optimum design of thermal systems is also suggested. The interior penalty function method with Davidon-Fletcher-Powella method of unconstrained minimization is used as the optimization technique for solving the problems. A sensitivity analysis is conducted about the optimum design point to find the influence of changes in various design parameters on the cooling load and total cost.

Copyright © 1980 by ASME
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