Nomenclature - Revision history

Yuengdjern at 15:09, 2 June 2022

2022-06-02T15:09:47Z

← Older revision		Revision as of 15:09, 2 June 2022
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	\| r		\| r
	\| Along-beam distance from acoustic Doppler sensor		\| Along-beam distance from acoustic Doppler sensor
			\| <math>\mathrm{m}</math>
			\|-
			\| <math> \delta{r}_0</math>
			\| Along-beam bin size for acoustic Doppler sensor
	\| <math>\mathrm{m}</math>		\| <math>\mathrm{m}</math>
	\|-		\|-
	\| <math> \delta{r}</math>		\| <math> \delta{r}</math>
	\| Along-beam bin ~~size~~ for acoustic Doppler sensor		\| Along-beam bin separation for acoustic Doppler sensor
	\| <math>\mathrm{m}</math>		\| <math>\mathrm{m}</math>
	\|-		\|-

Rolf at 00:31, 24 May 2022

2022-05-24T00:31:20Z

← Older revision		Revision as of 00:31, 24 May 2022
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	\| <math>D_{ll}</math>		\| <math>D_{ll}</math>
	\| Second-order longitudinal structure function		\| Second-order longitudinal structure function
	\| <math>D_{LL} = \big\langle[b^{\prime}(r) - b^{\prime}(r+n\delta{r})]^2\big\rangle</math>		\| <math>D_{ll} = \big\langle[b^{\prime}(r) - b^{\prime}(r+n\delta{r})]^2\big\rangle</math>
	\| <math>\mathrm{m^2\, s^{-2}}</math>		\| <math>\mathrm{m^2\, s^{-2}}</math>
	\|}		\|}

Yuengdjern at 13:04, 23 May 2022

2022-05-23T13:04:36Z

← Older revision		Revision as of 13:04, 23 May 2022
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	\| <math>\mathrm{m^2\, s^{-1}}</math>		\| <math>\mathrm{m^2\, s^{-1}}</math>
	\|-		\|-
	\| <math>D_{LL}</math>		\| <math>D_{ll}</math>
	\| Second-order longitudinal structure function		\| Second-order longitudinal structure function
	\| <math>D_{LL} = \big\langle[b^{\prime}(r) - b^{\prime}(r+n\delta{r})]^2\big\rangle</math>		\| <math>D_{LL} = \big\langle[b^{\prime}(r) - b^{\prime}(r+n\delta{r})]^2\big\rangle</math>

Rolf at 21:14, 10 December 2021

2021-12-10T21:14:17Z

← Older revision		Revision as of 21:14, 10 December 2021
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	\| <math>\beta</math>		\| <math>\beta</math>
	\| Saline coefficient of contraction		\| Saline coefficient of contraction
	\| <math> \beta = \frac{1}{\rho} \frac{\partial\rho}{\partial ~~S_a~~}</math>		\| <math> \beta = \frac{1}{\rho} \frac{\partial\rho}{\partial S_P}</math>
	\|		\|
	\|-		\|-

Rolf at 21:13, 10 December 2021

2021-12-10T21:13:18Z

← Older revision		Revision as of 21:13, 10 December 2021
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	\| <math>S</math>		\| <math>S</math>
	\| Background velocity shear		\| Background velocity shear
	\| <math> S = \left[ \left( \frac{\partial U}{\partial z}\right)^2 + \left( \frac{\partial V}{\partial z}\right]^2 \right)^{1/2} </math>		\| <math> S = \left[ \left( \frac{\partial U}{\partial z}\right)^2 + \left( \frac{\partial V}{\partial z}\right)^2 \right]^{1/2} </math>
	\| <math> \mathrm{s^{-1}} </math>		\| <math> \mathrm{s^{-1}} </math>
	\|-		\|-

Rolf at 21:12, 10 December 2021

2021-12-10T21:12:42Z

← Older revision		Revision as of 21:12, 10 December 2021
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	\| <math>S</math>		\| <math>S</math>
	\| Background velocity shear		\| Background velocity shear
	\| <math> S = \left( \left( \frac{\partial U}{\partial z}\right)^2 + \left( \frac{\partial V}{\partial z}\right)^2 \right)^{1/2} </math>		\| <math> S = \left[ \left( \frac{\partial U}{\partial z}\right)^2 + \left( \frac{\partial V}{\partial z}\right]^2 \right)^{1/2} </math>
	\| <math> \mathrm{s^{-1}} </math>		\| <math> \mathrm{s^{-1}} </math>
	\|-		\|-

Rolf at 21:09, 10 December 2021

2021-12-10T21:09:00Z

← Older revision		Revision as of 21:09, 10 December 2021
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	\|-		\|-
	\| <math>B</math>		\| <math>B</math>
	\| Buoyancy production -- the rate of production of potential energy by turbulence.		\| Buoyancy production -- the rate of production of potential energy by turbulence in a stratified flow through the vertical flux of buoyancy.
	\| <math>B= \frac{g}{\rho} \overline{\rho'w'} </math>		\| <math>B= \frac{g}{\rho} \overline{\rho'w'} </math>
	\| <math>\mathrm{W\, kg^{-1}}</math>		\| <math>\mathrm{W\, kg^{-1}}</math>

Rolf at 21:05, 10 December 2021

2021-12-10T21:05:31Z

← Older revision		Revision as of 21:05, 10 December 2021
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	\| The production of turbulence kinetic energy. In a steady, spatially uniform and stratified shear flow, turbulence kinetic energy is produced by the product of the Reynolds stress and the shear, for example <math>P = -\overline{u'w'}\frac{\partial U}{\partial z} </math> . The production is balanced by the rate of dissipation turbulence kinetic energy, <math>\varepsilon</math>, and the production of potential energy by the buoyancy flux, <math>B</math>.		\| The production of turbulence kinetic energy. In a steady, spatially uniform and stratified shear flow, turbulence kinetic energy is produced by the product of the Reynolds stress and the shear, for example <math>P = -\overline{u'w'}\frac{\partial U}{\partial z} </math> . The production is balanced by the rate of dissipation turbulence kinetic energy, <math>\varepsilon</math>, and the production of potential energy by the buoyancy flux, <math>B</math>.
	\| <math>P = -\overline{u'w'}\frac{\partial U}{\partial z} = \varepsilon + B</math>		\| <math>P = -\overline{u'w'}\frac{\partial U}{\partial z} = \varepsilon + B</math>
	\| <math>~~\mathrm{m^2\, s^{-3}} =~~ \mathrm{W\, kg^{-1}}</math>		\| <math>\mathrm{W\, kg^{-1}}</math>
	\|-		\|-
	\| <math>R_f</math>		\| <math>R_f</math>
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	\|-		\|-
	\| <math>\Gamma</math>		\| <math>\Gamma</math>
	\| "Mixing coefficient"; ~~in a stratified turbulent shear flow (where~~ the production of ~~turbulent kinetic~~ energy ~~by shear and the Reynolds stress~~, <math>P</math>, ~~equals~~ the rate of dissipation, <math>\varepsilon</math>~~, plus the buoyancy production, <math>B</math>), it is the ratio of the rate of potential energy due to buoyancy production to the rate of loss of kinetic energy through viscous friction~~.		\| "Mixing coefficient"; The ratio of the rate of production of potential energy, <math>B</math>, to the rate of dissipation of kinetic energy, <math>\varepsilon</math>.
	\| <math>\Gamma = \frac{B}{\varepsilon} = \frac{R_f}{1-R_f}</math>		\| <math>\Gamma = \frac{B}{\varepsilon} = \frac{R_f}{1-R_f}</math>
	\|		\|

Rolf at 20:59, 10 December 2021

2021-12-10T20:59:46Z

← Older revision		Revision as of 20:59, 10 December 2021
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	\| <math>B</math>		\| <math>B</math>
	\| Buoyancy production -- the rate of production of potential energy by turbulence.		\| Buoyancy production -- the rate of production of potential energy by turbulence.
	\| <math>B=-\frac{g}{\rho} \overline{\rho'w'} </math>		\| <math>B= \frac{g}{\rho} \overline{\rho'w'} </math>
	\| <math>\mathrm{W\, kg^{-1}}</math>		\| <math>\mathrm{W\, kg^{-1}}</math>
	\|-
	~~\| <math>R_i</math>~~
	~~\| (Gradient) Richardson number; the ratio of buoyancy freqency squared to velocity shear squared~~
	~~\| <math>R_i = \frac{N^2}{S^2} </math>~~
	\|
	\|-		\|-
	\| <math>P</math>		\| <math>P</math>
	\| The production of turbulence kinetic energy~~, in~~ a steady uniform stratified shear flow, ~~equals~~ the product of the Reynolds stress and the shear, for example <math>P = -\overline{u'w'}\frac{\partial U}{\partial z} </math> . The production is balanced by the rate of dissipation turbulence kinetic energy ~~through viscous friction~~, <math>\varepsilon</math> and the production of potential energy by the buoyancy flux, <math>B~~=-\frac{g}{\rho} \overline{\rho'w'}~~ </math>.		\| The production of turbulence kinetic energy. In a steady, spatially uniform and stratified shear flow, turbulence kinetic energy is produced by the product of the Reynolds stress and the shear, for example <math>P = -\overline{u'w'}\frac{\partial U}{\partial z} </math> . The production is balanced by the rate of dissipation turbulence kinetic energy, <math>\varepsilon</math>, and the production of potential energy by the buoyancy flux, <math>B</math>.
	\| <math>P = -\overline{u'w'}\frac{\partial U}{\partial z} = \varepsilon + B</math>		\| <math>P = -\overline{u'w'}\frac{\partial U}{\partial z} = \varepsilon + B</math>
	\| <math>\mathrm{m^2\, s^{-3}} = \mathrm{W\, kg^{-1}}</math>		\| <math>\mathrm{m^2\, s^{-3}} = \mathrm{W\, kg^{-1}}</math>
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	\| <math>R_f</math>		\| <math>R_f</math>
	\| Flux Richardson number; the ratio of the buoyancy flux expended for the net change in potential energy (i.e., mixing) to the shear production of turbulent kinetic energy.		\| Flux Richardson number; the ratio of the buoyancy flux expended for the net change in potential energy (i.e., mixing) to the shear production of turbulent kinetic energy.
	\| <math>R_f = \frac{-B}{P}</math>		\| <math>R_f = \frac{B}{P}</math>
	\|		\|
	\|-		\|-
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	\| "Mixing coefficient"; in a stratified turbulent shear flow (where the production of turbulent kinetic energy by shear and the Reynolds stress, <math>P</math>, equals the rate of dissipation, <math>\varepsilon</math>, plus the buoyancy production, <math>B</math>), it is the ratio of the rate of potential energy due to buoyancy production to the rate of loss of kinetic energy through viscous friction.		\| "Mixing coefficient"; in a stratified turbulent shear flow (where the production of turbulent kinetic energy by shear and the Reynolds stress, <math>P</math>, equals the rate of dissipation, <math>\varepsilon</math>, plus the buoyancy production, <math>B</math>), it is the ratio of the rate of potential energy due to buoyancy production to the rate of loss of kinetic energy through viscous friction.
	\| <math>\Gamma = \frac{B}{\varepsilon} = \frac{R_f}{1-R_f}</math>		\| <math>\Gamma = \frac{B}{\varepsilon} = \frac{R_f}{1-R_f}</math>
			\|
			\|-
			\| <math>R_i</math>
			\| (Gradient) Richardson number; the ratio of buoyancy freqency squared to velocity shear squared
			\| <math>R_i = \frac{N^2}{S^2} </math>
	\|		\|
	\|-		\|-

Rolf at 20:53, 10 December 2021

2021-12-10T20:53:58Z

← Older revision		Revision as of 20:53, 10 December 2021
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	\| The rate of dissipation of turbulent kinetic energy per unit mass by viscosity		\| The rate of dissipation of turbulent kinetic energy per unit mass by viscosity
	\|		\|
			\| <math>\mathrm{W\, kg^{-1}}</math>
			\|-
			\| <math>B</math>
			\| Buoyancy production -- the rate of production of potential energy by turbulence.
			\| <math>B=-\frac{g}{\rho} \overline{\rho'w'} </math>
	\| <math>\mathrm{W\, kg^{-1}}</math>		\| <math>\mathrm{W\, kg^{-1}}</math>
	\|-		\|-