Tidal Characteristic Numbers of Temperature: Difference between revisions
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==Motivation== | ==Motivation== | ||
The calculation as well as the graphic visualization of various tidal characteristic numbers of temperature and also for the advective transport of heat contributes to an improved understanding of tidally dominated transport processes in estuaries. Spatial variations of temperature, advective transport of heat by means of flood and ebb currents can be highlighted for areas like coastal seas and estuaries as well. | The calculation as well as the graphic visualization of various tidal characteristic numbers of temperature and also for the advective transport of heat contributes to an improved understanding of tidally dominated transport processes in estuaries. Spatial variations of temperature, advective transport of heat by means of [[flood]] and ebb currents can be highlighted for areas like coastal seas and estuaries as well. | ||
* As the calculations are performed separately for the durations of ebb- and flood-current it can be shown that transport paths can differ significantly for the two tidal phases. From this one can get additional insight with respect to the relevant transport mechanisms dominated by the tidal currents. This can be related to locally varying flood-ebb asymmetries for ebb volume and flood volume. Also the presence of horizontal gradients can contribute to this effect. | * As the calculations are performed separately for the durations of ebb- and [[flood]]-current it can be shown that transport paths can differ significantly for the two tidal phases. From this one can get additional insight with respect to the relevant transport mechanisms dominated by the tidal currents. This can be related to locally varying [[flood]]-ebb asymmetries for [[ebb volume]] and [[flood]] volume. Also the presence of horizontal gradients can contribute to this effect. | ||
* The variation of temperature resulting from the local maximum as well as the local minimum of temperature can be quite large. This is a consequence of the different temperature of e.g. sea and fresh water. The value for the local temperature variation is mainly the result of the product between the horizontal temperature gradient and the lagrangian drift of a water particle during a complete tidal cycle. | * The variation of temperature resulting from the local maximum as well as the local minimum of temperature can be quite large. This is a consequence of the different temperature of e.g. sea and fresh water. The value for the local temperature variation is mainly the result of the product between the horizontal temperature [[gradient]] and the lagrangian drift of a water particle during a complete tidal cycle. | ||
An automatic analysis of all tidal characteristic numbers of temperature is carried through by the computer | An automatic analysis of all tidal characteristic numbers of temperature is carried through by the computer programs [[TDKSF]] and [[NCANALYSE]]. | ||
==Definitions for the Tidal Characteristic Numbers of Temperature== | ==Definitions for the Tidal Characteristic Numbers of Temperature== | ||
=== | ===Program [[NCANALYSE]]=== | ||
==== | ====Flood Current==== | ||
amount of heat, which is transported by means of flood current through a cross section<br /> | =====Advective Flood Transport of Heat===== | ||
Exact amount of heat (with exception of roundoff) which passes a certain cross section during [[flood]] current due to advection. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). | |||
=====Diffusive Flood Transport of Heat===== | |||
Exact amount of heat (with exception of roundoff) which passes a certain cross section during [[flood]] current due to (turbulent) diffusion. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). | |||
=====Advective Flood Transport-Rate of Heat===== | |||
Exact transport rate of heat (with exception of roundoff) which passes a certain cross section during [[flood]] current due to advection. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). On tidal flats this quantity is computed for the period of inundation only. | |||
=====Diffusive Flood Transport-Rate of Heat===== | |||
Exact transport rate of heat (with exception of roundoff) which passes a certain cross section during [[flood]] current due to (turbulent) diffusion. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). On tidal flats this quanmtity is computed for the period of inundation only. | |||
=====Mean Temperature Flood Current===== | |||
Mean value of temperature during the [[flood]] current duration of a tide.<br /> | |||
<!-- [[Example figures: Mean temperature flood current]]. <br /> --> | |||
====Ebb Current==== | |||
=====Advective Ebb Transport of Heat===== | |||
Exact amount of heat (with exception of roundoff) which passes a certain cross section during ebb current due to advection. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). | |||
=====Diffusive Ebb Transport of Heat===== | |||
Exact amount of heat (with exception of roundoff) which passes a certain cross section during ebb current due to (turbulent) diffusion. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). | |||
=====Advective Ebb Transport-Rate of Heat===== | |||
Exact transport rate of heat (with exception of roundoff) which passes a certain cross section during ebb current due to advection. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). On tidal flats this quantity is computed for the period of inundation only. | |||
=====Diffusive Ebb Transport-Rate of Heat===== | |||
Exact transport rate of heat (with exception of roundoff) which passes a certain cross section during ebb current due to (turbulent) diffusion. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). On tidal flats this quanmtity is computed for the period of inundation only. | |||
=====Mean Temperature Ebb Current===== | |||
Mean value of temperature during the ebb current duration of a tide.<br /> | |||
<!-- [[Example figures: mean temperature ebb current]]. <br /> --> | |||
====Tidal Cycle==== | |||
=====Maximum Temperature===== | |||
maximum value of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current).<br /> | |||
<!-- [[Example figures: maximum temperature]]. <br /> --> | |||
=====Minimum Temperature===== | |||
minimum value of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current).<br /> | |||
<!-- [[Example figures: minimum temperature]]. <br /> --> | |||
=====Mean Temperature===== | |||
average value of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current).<br /> | |||
<!-- [[Example figures: mean temperature]]. <br /> --> | |||
=====Tidal Variation of Temperature===== | |||
difference between the extreme values of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current).<br /> | |||
<!-- [[Example figures: tidal variation of temperature]]. <br /> --> | |||
=====Advective Residual Transport of Heat===== | |||
Residual based on exact volume of heat (with exception of roundoff) which passes a certain cross section during a tidal cycle ([[flood]] current plus ebb current) due to advection. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). | |||
=====Diffusive Residual Transport of Heat===== | |||
Residual based on exact volume of heat (with exception of roundoff) which passes a certain cross section during a tidal cycle ([[flood]] current plus ebb current) due to diffusion. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). | |||
=====Advective Tidal Transport of Heat===== | |||
Sum of individual transports (magnitudes) based on exact amount of heat (with exception of roundoff) which passes a certain cross section during a tidal cycle ([[flood]] current plus ebb current) due to advection. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. | |||
=====Advective Heat Transport, Flood-Ebb-Ratio===== | |||
Based on exact volume of heat (with exception of roundoff) which passes a certain cross section during a tidal cycle due to advection. Quantity is computed from the (face) normal components only. | |||
=====Advective Heat Transport, Flood-Tide-Ratio===== | |||
Based on exact amount of heat (with exception of roundoff) which passes a certain cross section due to advection. Quantity is computed from the (face) normal components only. | |||
=====Advective Heat Transport, Ebb-Tide-Ratio===== | |||
Based on exact amount of heat (with exception of roundoff) which passes a certain cross section due to advection. Quantity is computed from the (face) normal components only. | |||
=====Mean Temperature Flood Current : Mean Temperature===== | |||
Ratio of mean temperature of [[flood]] current to mean temperature during the complete tide.<br /> | |||
<!-- [[Example figures: mean temperature flood current : mean temperature]]. <br /> --> | |||
=====Mean Temperature Ebb Current : Mean Temperature===== | |||
Ratio of mean temperature of ebb current to mean temperature during the complete tide.<br /> | |||
<!-- [[Example figures: mean temperature ebb current : mean temperature]]. <br /> --> | |||
=====Mean Temperature Flood Current : Mean Temperature Ebb Current===== | |||
Ratio of mean temperature of [[flood]] current to mean temperature of ebb current.<br /> | |||
<!-- [[Example figures: mean temperature flood current : mean temperature ebb current]]. <br /> --> | |||
=====Tidal Variation of Temperature : Mean Temperature===== | |||
Ratio of tidal variation of temperature to mean temperature value of the tide.<br /> | |||
<!-- [[Example figures: tidal variation of temperature : mean temperature]]. <br /> --> | |||
=====Maximum Temperature : Mean Temperature===== | |||
Ratio of maximum temperature of the tide to mean temperature value of the tide.<br /> | |||
<!-- [[Example figures: maximum temperature : mean temperature]]. <br /> --> | |||
=====Minimum Temperature : Mean Temperature===== | |||
Ratio of minimum temperature of the tide to mean temperature value of the tide.<br /> | |||
<!-- [[Example figures: minimum temperature : mean temperature]]. <br /> --> | |||
===Program [[TDKSF]]=== | |||
====Flood Current==== | |||
=====Advective Flood Transport of Heat===== | |||
amount of heat, which is transported by means of [[flood]] current through a cross section<br /> | |||
Example: not available. | Example: not available. | ||
===Ebb Current=== | ====Ebb Current==== | ||
====Advective Ebb Transport of Heat==== | =====Advective Ebb Transport of Heat===== | ||
Amount of heat, which is transported by means of ebb current through a cross section<br /> | Amount of heat, which is transported by means of ebb current through a cross section<br /> | ||
Example: not available. | Example: not available. | ||
===Tidal Cycle=== | ====Tidal Cycle==== | ||
====Maximum Temperature==== | =====Maximum Temperature===== | ||
Maximum value of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current)<br /> | Maximum value of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current)<br /> | ||
Example: not available. | Example: not available. | ||
====Minimum Temperature==== | =====Minimum Temperature===== | ||
Minimum value of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current)<br /> | Minimum value of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current)<br /> | ||
Example: not available. | Example: not available. | ||
====Mean Temperature==== | =====Mean Temperature===== | ||
Average value of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current)<br /> | Average value of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current)<br /> | ||
Example: not available. | Example: not available. | ||
====Tidal Variation of Temperature==== | =====Tidal Variation of Temperature===== | ||
Difference between the extreme values of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current)<br /> | Difference between the extreme values of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current)<br /> | ||
Example: not available. | Example: not available. | ||
====Advective Residual Transport of Heat==== | =====Advective Residual Transport of Heat===== | ||
Residual amount of heat which is transported by means of ebb and flood currents through a cross section (the different transport directions are taken into account). If the advective transport by means of flood current is equal but in opposite direction of the ebb current transport this will result in a zero advective residual transport of heat.<br /> | Residual amount of heat which is transported by means of ebb and [[flood]] currents through a cross section (the different transport directions are taken into account). If the advective transport by means of [[flood]] current is equal but in opposite direction of the ebb current transport this will result in a zero advective residual transport of heat.<br /> | ||
Example: not available. | Example: not available. | ||
====Advective Temperature, Flood-Ebb-Ratio==== | =====Advective Temperature, Flood-Ebb-Ratio===== | ||
Flood to ebb ratio for the amounts of heat which are transported by means of flood and ebb currents<br /> | [[Flood]] to ebb ratio for the amounts of heat which are transported by means of [[flood]] and ebb currents<br /> | ||
Example: not available. | Example: not available. | ||
Latest revision as of 09:57, 21 October 2022
graphical representations of the characteristic numbers of salinity
Motivation
The calculation as well as the graphic visualization of various tidal characteristic numbers of temperature and also for the advective transport of heat contributes to an improved understanding of tidally dominated transport processes in estuaries. Spatial variations of temperature, advective transport of heat by means of flood and ebb currents can be highlighted for areas like coastal seas and estuaries as well.
- As the calculations are performed separately for the durations of ebb- and flood-current it can be shown that transport paths can differ significantly for the two tidal phases. From this one can get additional insight with respect to the relevant transport mechanisms dominated by the tidal currents. This can be related to locally varying flood-ebb asymmetries for ebb volume and flood volume. Also the presence of horizontal gradients can contribute to this effect.
- The variation of temperature resulting from the local maximum as well as the local minimum of temperature can be quite large. This is a consequence of the different temperature of e.g. sea and fresh water. The value for the local temperature variation is mainly the result of the product between the horizontal temperature gradient and the lagrangian drift of a water particle during a complete tidal cycle.
An automatic analysis of all tidal characteristic numbers of temperature is carried through by the computer programs TDKSF and NCANALYSE.
Definitions for the Tidal Characteristic Numbers of Temperature
Program NCANALYSE
Flood Current
Advective Flood Transport of Heat
Exact amount of heat (with exception of roundoff) which passes a certain cross section during flood current due to advection. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT).
Diffusive Flood Transport of Heat
Exact amount of heat (with exception of roundoff) which passes a certain cross section during flood current due to (turbulent) diffusion. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT).
Advective Flood Transport-Rate of Heat
Exact transport rate of heat (with exception of roundoff) which passes a certain cross section during flood current due to advection. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT). On tidal flats this quantity is computed for the period of inundation only.
Diffusive Flood Transport-Rate of Heat
Exact transport rate of heat (with exception of roundoff) which passes a certain cross section during flood current due to (turbulent) diffusion. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT). On tidal flats this quanmtity is computed for the period of inundation only.
Mean Temperature Flood Current
Mean value of temperature during the flood current duration of a tide.
Ebb Current
Advective Ebb Transport of Heat
Exact amount of heat (with exception of roundoff) which passes a certain cross section during ebb current due to advection. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT).
Diffusive Ebb Transport of Heat
Exact amount of heat (with exception of roundoff) which passes a certain cross section during ebb current due to (turbulent) diffusion. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT).
Advective Ebb Transport-Rate of Heat
Exact transport rate of heat (with exception of roundoff) which passes a certain cross section during ebb current due to advection. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT). On tidal flats this quantity is computed for the period of inundation only.
Diffusive Ebb Transport-Rate of Heat
Exact transport rate of heat (with exception of roundoff) which passes a certain cross section during ebb current due to (turbulent) diffusion. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT). On tidal flats this quanmtity is computed for the period of inundation only.
Mean Temperature Ebb Current
Mean value of temperature during the ebb current duration of a tide.
Tidal Cycle
Maximum Temperature
maximum value of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current).
Minimum Temperature
minimum value of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current).
Mean Temperature
average value of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current).
Tidal Variation of Temperature
difference between the extreme values of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current).
Advective Residual Transport of Heat
Residual based on exact volume of heat (with exception of roundoff) which passes a certain cross section during a tidal cycle (flood current plus ebb current) due to advection. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT).
Diffusive Residual Transport of Heat
Residual based on exact volume of heat (with exception of roundoff) which passes a certain cross section during a tidal cycle (flood current plus ebb current) due to diffusion. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT).
Advective Tidal Transport of Heat
Sum of individual transports (magnitudes) based on exact amount of heat (with exception of roundoff) which passes a certain cross section during a tidal cycle (flood current plus ebb current) due to advection. This quantity makes use of the normal flow of heat only, which is orthogonal to the flow face.
Advective Heat Transport, Flood-Ebb-Ratio
Based on exact volume of heat (with exception of roundoff) which passes a certain cross section during a tidal cycle due to advection. Quantity is computed from the (face) normal components only.
Advective Heat Transport, Flood-Tide-Ratio
Based on exact amount of heat (with exception of roundoff) which passes a certain cross section due to advection. Quantity is computed from the (face) normal components only.
Advective Heat Transport, Ebb-Tide-Ratio
Based on exact amount of heat (with exception of roundoff) which passes a certain cross section due to advection. Quantity is computed from the (face) normal components only.
Mean Temperature Flood Current : Mean Temperature
Ratio of mean temperature of flood current to mean temperature during the complete tide.
Mean Temperature Ebb Current : Mean Temperature
Ratio of mean temperature of ebb current to mean temperature during the complete tide.
Mean Temperature Flood Current : Mean Temperature Ebb Current
Ratio of mean temperature of flood current to mean temperature of ebb current.
Tidal Variation of Temperature : Mean Temperature
Ratio of tidal variation of temperature to mean temperature value of the tide.
Maximum Temperature : Mean Temperature
Ratio of maximum temperature of the tide to mean temperature value of the tide.
Minimum Temperature : Mean Temperature
Ratio of minimum temperature of the tide to mean temperature value of the tide.
Program TDKSF
Flood Current
Advective Flood Transport of Heat
amount of heat, which is transported by means of flood current through a cross section
Example: not available.
Ebb Current
Advective Ebb Transport of Heat
Amount of heat, which is transported by means of ebb current through a cross section
Example: not available.
Tidal Cycle
Maximum Temperature
Maximum value of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current)
Example: not available.
Minimum Temperature
Minimum value of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current)
Example: not available.
Mean Temperature
Average value of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current)
Example: not available.
Tidal Variation of Temperature
Difference between the extreme values of temperature during a complete tidal cycle (period between two subsequent slack water times of ebb current)
Example: not available.
Advective Residual Transport of Heat
Residual amount of heat which is transported by means of ebb and flood currents through a cross section (the different transport directions are taken into account). If the advective transport by means of flood current is equal but in opposite direction of the ebb current transport this will result in a zero advective residual transport of heat.
Example: not available.
Advective Temperature, Flood-Ebb-Ratio
Flood to ebb ratio for the amounts of heat which are transported by means of flood and ebb currents
Example: not available.
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