Difference between revisions of "Radiation stress"
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| − | The radiation stress is the momentum transferred through the water body per unit time (the flux of momentum) by wave orbital motion. It is called a stress because for obliquely incident waves, cross-shore momentum can be transferred by both cross-shore wave orbital motion and longshore wave orbital motion and longshore momentum can be transferred by both longshore wave orbital motion and cross-shore wave orbital motion. For obliquely incident waves, a cross-shore gradient in the wave orbital motion, for example due to wave breaking, will exert a stress on the water mass in cross-shore direction as well as in longshore direction. The stress in longshore direction generates a [[longshore current]]. The stress in cross-shore direction generates a [[Wave set-up|water level set-up]] at the coast. | + | ==Notes== |
| − | Forcing by radiation stress gradients related to wave breaking is commonly an order of magnitude greater than forcing due to wind stress or other wave nonlinearities | + | The fact that waves can exert a net force on the water body directed along the wave propagation direction was first recognised by Longuet-Higgins and Stewart (1962<ref>Longuet-Higgins, M.S. and Stewart, R.W. 1962. Radiation stress and mass transport in gravity waves, with application to 'surf beats'. Journal of Fluid Mechanics 13: 481–504</ref>, 1964<ref>Longuet-Higgins, M.S. and Stewart, R.W. 1964. Radiation stresses in water waves; a physical discussion, with applications. Deep Sea Research 11: 529–562</ref>). The radiation stress is the momentum transferred through the water body per unit time (the flux of momentum) by wave orbital motion. It is called a stress because for obliquely incident waves, cross-shore momentum can be transferred by both cross-shore wave orbital motion and longshore wave orbital motion and longshore momentum can be transferred by both longshore wave orbital motion and cross-shore wave orbital motion. For obliquely incident waves, a cross-shore gradient in the wave orbital motion, for example due to wave breaking, will exert a stress on the water mass in cross-shore direction as well as in longshore direction. The stress in longshore direction generates a [[longshore current]]. The stress in cross-shore direction generates a [[Wave set-up|water level set-up]] at the coast. |
| + | Forcing by radiation stress gradients related to wave breaking is commonly an order of magnitude greater than forcing due to wind stress or other wave nonlinearities. | ||
For a more detailed explanation, see [[Shallow-water wave theory#Radiation Stress (Momentum Flux)]] and [[Shallow-water wave theory#Radiation Stress Components for Oblique Waves]]. | For a more detailed explanation, see [[Shallow-water wave theory#Radiation Stress (Momentum Flux)]] and [[Shallow-water wave theory#Radiation Stress Components for Oblique Waves]]. | ||
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| + | ==References== | ||
| + | <references/> | ||
Revision as of 09:55, 3 July 2022
Definition of Radiation stress:
Radiation stress is the flux of momentum carried by ocean waves.
This is the common definition for Radiation stress, other definitions can be discussed in the article
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Notes
The fact that waves can exert a net force on the water body directed along the wave propagation direction was first recognised by Longuet-Higgins and Stewart (1962[1], 1964[2]). The radiation stress is the momentum transferred through the water body per unit time (the flux of momentum) by wave orbital motion. It is called a stress because for obliquely incident waves, cross-shore momentum can be transferred by both cross-shore wave orbital motion and longshore wave orbital motion and longshore momentum can be transferred by both longshore wave orbital motion and cross-shore wave orbital motion. For obliquely incident waves, a cross-shore gradient in the wave orbital motion, for example due to wave breaking, will exert a stress on the water mass in cross-shore direction as well as in longshore direction. The stress in longshore direction generates a longshore current. The stress in cross-shore direction generates a water level set-up at the coast. Forcing by radiation stress gradients related to wave breaking is commonly an order of magnitude greater than forcing due to wind stress or other wave nonlinearities.
For a more detailed explanation, see Shallow-water wave theory#Radiation Stress (Momentum Flux) and Shallow-water wave theory#Radiation Stress Components for Oblique Waves.
References
- ↑ Longuet-Higgins, M.S. and Stewart, R.W. 1962. Radiation stress and mass transport in gravity waves, with application to 'surf beats'. Journal of Fluid Mechanics 13: 481–504
- ↑ Longuet-Higgins, M.S. and Stewart, R.W. 1964. Radiation stresses in water waves; a physical discussion, with applications. Deep Sea Research 11: 529–562
