valwT

ValwT is a hypothetical scalar used in teaching and simple simulations to represent a valve-weighted temperature measure in systems where multiple temperature sources combine through valves. The term is not standard across industries, but it serves to illustrate how valve-related influence can be incorporated into a single temperature proxy.

Mathematically, valwT is defined as the weighted average of local temperatures T_i with nonnegative weights w_i that reflect the influence or flow through each valve: valwT = (sum_i w_i T_i) / (sum_i w_i). If all valves contribute equally, valwT reduces to the arithmetic mean of T_i.

Applications include process control modeling, energy balance estimation, and educational examples where control algorithms adjust valve positions based on a target valwT.

Data and computation: requires temperature measurements T_i at the valve inlets and corresponding weights w_i, which may be determined from valve opening fractions, relative flow rates, or resistance. ValwT can be updated in discrete time steps and used as input to PID controllers or decision rules.

Related concepts: weighted average, temperature proxy, valve dynamics. See also: temperature, flow, valve, control theory.