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DYNAMICAL OCEANOGRAPHY
b. Sketch the deviation of the flow compared to that along geostrophic
contours.
(14.4) JEBAR
Consider a channel flow on the domain x ∈ [0,L],y ∈ [−L, L],z ∈ [−H, 0]
where H = D − h b as in section 14.3 and assume that
ρ(y, z)=αy(1 − e
γz )
and
h b (x, y)=h 0 sin π
x
L
sin π
y
L
where α>0, h 0 > 0 and γ>0 are constants.
a. Determine the vertically integrated potential energy ρ 0 χ.
b. Determine the expresssion for the JEBAR term J(χ, 1/H).
c. Describe how pressure gradients are generated by the JEBAR effect and
sketch the deviations of the flow due to these effects.
(14.5) Interfacial form stress
In section 14.3.2 it was stated that the effect of eddies introduces an interfacial
form stress by which momentum can be transported downward.
a. Use (14.32) and the analysis of section 14.2.2 and determine the meridional
transport I is case eddies are present.
b. Give a description of the interfacial form stress in terms of vertical momentum transfer as was done for the bottom form stress in section 14.2.2.