Mathematical Model for Design Conditions for Cooling Load Calculations

A numerical procedure using Newton-Raphson technique is used for finding wet bulb temperature from observed dry bulb temperature relative humidity and barometric pressure. Assuming maximum temperatures and daily temperature ranges of the day as random variables, maximum temperatures and daily ranges are estimated from samples of ten years data by t-distribution for various confidence limits. A parameter called “Average Hourly Temperature Deviation” is defined and its effect on Equivalent temperature differential is demonstrated. A mathematical model for finding out optimum daily temperature distribution has been developed. An average value of the “Average Hourly Temperature Deviation” is chosen as the optimality criterion. The procedures are demonstrated by numerical examples and the design conditions for 20 major cities of India are provided in tabular form.