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2:1.3.4 Modified Rational Formula

The modified rational formula used to estimate peak flow rate is obtained by substituting equations 2:1.3.15, 2:1.3.16, and 2:1.3.17 into equation 2:1.3.1

qpeak=αtc∗Qsurf∗Area3.6∗tconcq_{peak}=\frac{\alpha_{tc}*Q_{surf}*Area}{3.6*t_{conc}}qpeak​=3.6∗tconc​αtc​∗Qsurf​∗Area​ 2:1.3.20

where qpeakq_{peak}qpeak​ is the peak runoff rate (m3s−1m^3 s^{-1}m3s−1), αtc\alpha_{tc}αtc​ is the fraction of daily rainfall that occurs during the time of concentration, QsurfQ_{surf}Qsurf​ is the surface runoff (mm H2_22​O), AreaAreaArea is the subbasin area (km2^22), tconct_{conc}tconc​ is the time of concentration for the subbasin (hr) and 3.6 is a unit conversion factor.

Table 2:1-5: SWAT+ input variables that pertain to peak rate calculations.

Definition
Source Name
Input Name
Input File

: Manning’s “n” value for overland flow

OV_N

.hru

: Longest tributary channel length in subbasin (km)

CH_L(1)

.sub

: Average slope of tributary channels (m/m)

CH_S(1)

.sub

: Manning’s “n” value for tributary channels

CH_N(1)

.sub

Area of the subbasin (km2^22)

SUB_KM

.sub

Fraction of subbasin area contained in HRU

HRU_FR

.hru

LslpL_{slp}Lslp​: Average slope length (m)

SLSUBBSN

.hru

slpslpslp: Average slope steepness (m/m)

HRU_SLP

.hru

nnn
LLL
slpchslp_{ch}slpch​
nnn