Component 209: Flow Split by HVACSIM+ General Description This component models the division of a flow stream into two flow streams. It calculates the mass flow rates at the two outlets, and the pressure at the single inlet. The model assumes that the flow resistance parameter is the same for all three branches. Care has been taken to ensure that correct results are obtained even when the flow direction of one or more flow streams is reversed. Nomenclature K - flow resistance coefficient P - pressure w - mass flow rate Subscripts 0 - center of component 1 - inlet 2 - first outlet 3 - second outlet Mathematical Description The model is derived from the following set of equations: P1 - P0 = 0.5*K*sign(w1)*w1^2 P0 - P2 = 0.5*K*sign(w2)*w2^2 P0 - P3 = 0.5*K*sign(w3)*w3^2 w1 = w2 + w3 where P0 is the pressure at the center of the component and 0.5*K is the flow resistance between the center and an inlet or outlet. The set of equations is solved for w2 and w3, and the solution is expressed in the following form: w2 = (w1 / 2) + [sign(w1)]*DeltaP / (K*w1) if S >= 0. w2 = (w1 / 2) + [sign(DeltaP)]*[abs(DeltaP)/K - w1^2/4]^0.5 if S < 0. where DeltaP = P3 - P2 and S = w1^2 - 2*abs(DeltaP)/K w3 = w1 - w2 When S is positive, all three flow rates have the same sign, and w1 represents the single inlet (positive) or outlet (negative) flow rate of a split or merge. When S is negative, w2 and w3 do not have the same sign, and w1 represents one of two inlets (w1 positive) or outlets (w1 negative). The pressure at the nominal inlet, P1, is then calculated: P1 = P3 + (K/2)*[sign(w1)*w1^2 + sign(w3)*w3^2] Component 509 Configuration Inputs Description 1 w1 - flow rate at inlet 2 P2 - pressure at first outlet 3 P3 - pressure at second outlet Outputs Description 1 w2 - flow rate at first outlet 2 w3 - flow rate at second outlet 3 P1 - pressure at inlet Parameters Description 1 K - flow resistance coefficient Reference: 1. HVACSIM+ Building Systems and Equipment Simulation Program Reference Manual (NBSIR 84-2996) Daniel R. Clark United States Department of Commerce National Institute of Standards and Technology Gaithersburg, Maryland 20899-0001