%====================================================================== % L O S _ L T R . T E X % doc: Tue Feb 29 17:54:55 2000 % dlm: Wed Dec 6 13:50:59 2000 % (c) 2000 A.M. Thurnherr % uE-Info: 113 0 NIL 0 0 72 2 2 4 ofnI %====================================================================== \section*{Greek Symbols} \begin{flushleft} \begin{tabular}{lll} Symbol & Units & Meaning \\ \hline $\alpha$ & \pdegC{} & thermal expansion coefficient (general) \\ $\alpha_0$ & \pdegC{} & thermal expansion coefficient (linear equation of state) \\ $\beta$ & \ppsu{} & haline contraction coefficient (general) \\ $\beta_0$ & \ppsu{} & haline contraction coefficient (linear equation of state) \\ $\gamma$ & & rift-valley topographic slope\prs{gamma} \\ $\epsilon$ & \mmpss{} & error variance of along-mean flow\prs{epsilon} \\ $\theta$ & \degC{} & potential temperature \\ $\overline{\Delta\theta}$ & \degC{} & mean potential temperature deficit\prs{mdt} \\ $\theta_2$ & \degC{} & potential temperature referenced to \dbar{2000} \\ $\Delta\theta_e$ & \degC{} & equilibrium-plume temperature anomaly\prs{De} \\ $\De{\theta}$ & \degC{} & mean equilibrium-plume temperature anomaly (c.f.\ $\Delta_\rho T$)\prs{Debar} \\ $\Di{\theta}$ & \degC{} & mean hydrothermal source temperature anomaly\prs{Dibar} \\ $\theta_z$ & \degCpm{} & vertical potential temperature gradient \\ \dsym{Bgamma}{\kappa} & & model parameter for outflow across multiple sills\prs{Bgamma} \\ $\Lambda$ & & bulk-plume entrainment coefficient\prs{Lambda} \\ $\lambda$ & \m{} & horizontal wave length \\ $\mu$ & & mean \\ \end{tabular} \begin{tabular}{lll} Symbol & Units & Meaning \\ \hline $\rho$ & \kgpmmm{} & density \\ $\rho_0$ & \kgpmmm{} & reference density \\ $\rho_b$ & \kgpmmm{} & density of background water column\prs{rho_b} \\ $\rho_i$ & \kgpmmm{} & asymptotic hydrothermal source-fluid density\prs{rho_i} \\ $\rho_k$ & \kgpmmm{} & individual density measurement\prs{rho_k} \\ $\sigma$ & & standard deviation \\ \SigmaTwo & \kgpmmm{} & potential density referenced to \dbar{2000} \\ \SigmaTheta & \kgpmmm{} & potential density referenced to the surface \\ $\sigma_l$ & \mps{} & standard deviation of along-mean flow\prs{sigmal} \\ $\sigma_x$ & \mps{} & standard deviation of cross-mean flow\prs{sigmax} \\ \dsym{Btau}{\tau}& \d{} & analytic model solution time scale\prs{Btau} \\ $\tau_l$ & \d{} & integral time scale of along-mean flow\prs{taul} \\ $\chi^2$ & & chi-squared merit function\prs{chisq} \\ $\omega$ & \ps{} & frequency \\ \end{tabular} \end{flushleft} \section*{Latin Symbols} \begin{flushleft} \begin{tabular}{lll} Symbol & Units & Meaning \\ \hline%---------------------------------------------------------------------- $A$ & \degC{} & regression coefficient of bilinear method\prs{bilin_A} \\ \dsym{BAisopycnal}{A_\rho} & \mm{} & area of isopycnal surface\prs{BAisopycnal} \\ $B$ & \degCmmmpkg{} & regression coefficient of bilinear method\prs{bilin_B} \\ $B_i$ & \mmmmpsss{} & hydrothermal source buoyancy flux\prs{B_i} \\ $C$ & \degCpV{} & regression coefficient of bilinear method\prs{bilin_C} \\ $C_d$ & & drag coefficient\prs{Cd} \\ $C_r$ & & rotary coefficient\prs{Cr} \\ $c_p$ & \JpkgpK{} & specific heat \\ \dsym{Bd}{d} & \m{} & depth of model basin\prs{Bd} \\ $E$ & & cross-valley section\prs{E} \\ $f$ & \ps{} & Coriolis parameter (\ps*{8.6}{-5} at \degN{36}) \\ \end{tabular} \begin{tabular}{lll} Symbol & Units & Meaning \\ \hline $\NhU$ & & topographic blocking parameter\prs{NhU} \\ \dsym{gp}{g'} & \mpss{} & reduced gravity \\ \dsym{BHc}{H_c} & \W{} & conductive geothermal heat flux\prs{BHc} \\ \dsym{BHp}{H_p} & \W{} & convective geothermal heat flux\prs{BHp} \\ \dsym{Bh}{h} & \m{} & vertical length scale \\ & \m{} & in \rchapNP{BOF}: model interface height above outflow sill\prs{Bh} \\ \dsym{Bhzero}{h_0} & \m{} & model interface height initial condition\prs{Bhzero} \\ $h_b$ & \m{} & obstacle height\prs{hb} \\ \dsym{Bheq}{h_\mathit{eq}}& \m{} & model-interface equilibrium height\prs{Bheq} \\ \dsym{hu}{h_u} & \m{} & upstream interface height of hydraulic calculation\prs{hu} \\ \dsym{Kv}{K_v} & \mmps{} & diapycnal diffusivity \\ $k_l$ & \Pm{} & along-slope wave number\prs{kl} \\ $k_x$ & \Pm{} & cross-slope wave number\prs{kx} \\ \dsym{Bl}{l} & \m{} & horizontal length scale \\ & \m{} & in \rchapNP{BOF}: length of model basin\prs{Bl} \\ $N$ & \ps{} & buoyancy frequency \\ $N_i$ & \ps{} & buoyancy frequency upstream of obstacle\prs{Ni} \\ $\Delta n$ & \V{} & nephelometry anomaly \\ $\Delta_r n$ & \V{} & residual nephelometry anomaly\prs{Drn} \\ $\Delta n^*$ & \V{} & peak value of Gaussian nephelometry plume\prs{Delta_n_star} \\ $P$ & & sill friction parameter\prs{P} \\ $Q$ & \mmmps{} & volume flux \\ $Q_e$ & \mmmps{} & equilibrium-plume volume flux\prs{Q_e} \\ \dsym{BQi}{Q_i} & \mmmps{} & hydrothermal source volume flux\prs{Q_i} \\ & \mmps{} & in \rchapNP{BOF}: model inflow (forcing term)\prs{BQi} \\ \dsym{Qi}{Q^*_i}& \mmmps{} & observed inflow into segment\prs{Qi} \\ \dsym{BQo}{Q_o} & \mmps{} & model outflow\prs{BQo} \\ \dsym{Qo}{Q^*_o}& \mmmps{} & observed outflow from segment\prs{Qo} \\ \dsym{BQu}{Q_u} & \mmps{} & volume flux across model interface\prs{BQu} \\ \end{tabular} %\newpage\vspace*{-\baselineskip} \begin{tabular}{lll} Symbol & Units & Meaning \\ \hline%---------------------------------------------------------------------- \Rr & & water-column stability ratio\prs{Rr} \\ \Ri & & hydrothermal source density-anomaly ratio\prs{Ri} \\ $\Ro$ & & Rossby number\prs{Ro} \\ $r$ & & correlation coefficient of linear regression \\ $r_{BC}$ & & cross-correlation coefficient of bilinear method\prs{r_BC} \\ $S$ & \psu{} & salinity \\ $\Di{S}$ & \psu{} & mean hydrothermal source salinity anomaly\prs{Sibar} \\ $\Delta_\rho S$ & \psu{} & isopycnal salinity anomaly\prs{DrhoS} \\ $S_+$ & \mmpss{} & anticlockwise-polarized flow spectral energy\prs{Sp} \\ $S_-$ & \mmpss{} & clockwise-polarized flow spectral energy\prs{Sm} \\ $S_0$ & \psu{} & reference salinity \\ $S_b$ & \psu{} & salinity of background water column \\ $S_z$ & \psupm{} & vertical salinity gradient \\ \dsym{Bs}{s} & & analytic model solution\prs{Bs} \\ \dsym{Bsp}{s'} & & analytic model solution\prs{Bsp} \\ $T$ & \degC{} & temperature \\ $\Delta_\rho T$ & \degC{} & isopycnal temperature anomaly (c.f.\ $\De{\theta}$)\prs{DrhoT} \\ $\Delta_S T$ & \degC{} & isohaline temperature anomaly\prs{DST} \\ $T_0$ & \degC{} & reference temperature \\ $T_r$ & \d{} & current-meter record length\prs{Tr} \\ $U$ & \mps{} & horizontal velocity \\ $\overline{U}$ & \mps{} & mean horizontal velocity \\ $U_0$ & \mps{} & reference velocity \\ $U_i$ & \mps{} & velocity upstream of obstacle\prs{Ui} \\ $U_n$ & \mps{} & equilibrium-plume advection velocity\prs{U_n} \\ $W$ & \mps{} & vertical velocity \\ \dsym{Bw}{w} & \m{} & width of hydraulic overflow current\prs{w} \\ & \m{} & in \rchapNP{BOF}: model-basin width\prs{Bw} \\ $X$ & \mm{} & cross-sectional area of time-averaged buoyant plume\prs{X} \\ $z^*$ & \m{} & maximum plume rise height\prs{zstar} \\ $z_0$ & \m{} & reference depth \\ \end{tabular} \end{flushleft}