inconsistency in DIMENSIONAL ANALYSISinconsistency in DIMENSIONAL ANALYSIShttps://oss.deltares.nl/c/message_boards/find_thread?p_l_id=183924&threadId=6971002020-08-07T09:43:54Z2020-08-07T09:43:54ZRE: inconsistency in DIMENSIONAL ANALYSISChristophe Thiangehttps://oss.deltares.nl/c/message_boards/find_message?p_l_id=183924&messageId=7008352015-08-06T08:42:46Z2015-08-06T08:42:46ZHi Sathya,<br /><br />I think you can consider daylength as a fraction here, hence without units, which yields [d-1] fro kmrd.<br /><br />RegardsChristophe Thiange2015-08-06T08:42:46Zinconsistency in DIMENSIONAL ANALYSISSathya narayananhttps://oss.deltares.nl/c/message_boards/find_message?p_l_id=183924&messageId=6970992015-07-31T11:02:11Z2015-07-31T11:02:11ZHello,<br />With reference to page no. 350 in D-Water Quality Technical reference manual (Version: 5.01.34078) dated 26 May 2014, i found that there seems to be inconsistency in DIMENSIONAL ANALYSIS. The term kmrd has the unit (d-1), but the product of UNITS of the terms krd, DL ,fuv , I0 and (1 - e^-epsxH)/epsxH) become UNIT LESS which is completely contradicting. Would anyone help me in giving the correct terms with proper UNITS?<br /><br /><br />Formulation<br /><br />The mortality rate of coliform bacteria can be quantified with the following empirical function<br />of temperature, chlorinity and solar radiation (as derived from visible light):<br />For T > Tci:<br /><br />Rmrti = kmrti x Cxi <br /><br />kmrti = (kmbi + kmcli) x ktmrti^(T-20) + kmrd <br />kmcli = kcli x Ccl <br />kmrd = krd x DL x fuv x I0 x (1 - e^-epsxH)/epsxH<br /><br />For T <= Tci:<br />Rmrti = 0:0 <br /><br />where:<br />Cx concentration of coliform bacteria species i [MPN.m-3]<br />DL daylength [d]<br />eps extinction of UV-radiation [m-1]<br />fuv fraction of UV-radiation as derived from visible light [-]<br />H water depth [m]<br />I0 daily solar radiation as visible light at the water surface [W.m-2]<br />kcl chloride related mortality constant [m3.g-1.d-1]<br />kmb basic mortality rate [d-1]<br />kmcl chloride dependent mortality rate [d-1]<br />kmrd radiation dependent mortality rate [d-1]<br />kmrt first order mortality rate [d-1]<br />krd radiation related mortality constant [m2.W-1.d-1]<br />ktmrt temperature coefficient of the mortality rate [-]<br />Rmrt mortality rate of coliform bacteria [MPN.m-3.d-1]<br />T temperature [°C]<br />Tc critical temperature for mortality [°C]<br />Ccl chloride concentration [g.m-3]<br />i index for coliform species, ECOLI, FCOLI, TCOLI and ENCOC<br /><br /><br />ThanksSathya narayanan2015-07-31T11:02:11Z