Final Report I
Final Report I
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2. The Mathematical Model, Coefficient of Friction, Zonal Flow, Basic Climatological Flow The two-dimensional flow of an inviscid, incompressible fluid layer, for which the hydrostatic approximation is made and which is subject to friction as it moves over a perfectly spherical earth of radius a, is governed by two equations for the tangential components of velocity, u and v: (2. 1) ^ u - (f + H tan e)v + ^-^^ ^ + ^^^ = o, (2o2) • ^ V + (f + I tan 0)u + I 1^ + Rvq =, where _D_ ^ ^ u ^ + Z ^ . D...t "St a cos e "Sa a. W ' and the equation of continuity for the free surface height of the layer, h: (2. 3) |5 + ^-^ [^ (hu) + ^ (hv cos e)] = ; ^ -^ dt a cos 6 '-dA ^ ^ d© ' the system (2. 1)- (2. 3) can be represented as the homogeneous system L(W) =, where W is a vector with three components, (u, v, h). The independent variables A and 6 represent longitude and latitude respectively, with corresponding components of velocity, u and v; g is the gravi- tational constant; f = 20 sin is the Coriolis parameter, where O is the rate of angular rotation of the earth; while R is a constant coefficient so that the friction force is thus taken proportional r2~.
What to read after Final Report I?
You can find similar books in the "Read Also" column, or choose other free books by J J Stoker to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
2. The Mathematical Model, Coefficient of Friction, Zonal Flow, Basic Climatological Flow The two-dimensional flow of an inviscid, incompressible fluid layer, for which the hydrostatic approximation is made and which is subject to friction as it moves over a perfectly spherical earth of radius a, is governed by two equations for the tangential components of velocity, u and v: (2. 1) ^ u - (f + H tan e)v + ^-^^ ^ + ^^^ = o, (2o2) • ^ V + (f + I tan 0)u + I 1^ + Rvq =, where _D_ ^ ^ u ^ + Z ^ . D...t "St a cos e "Sa a. W ' and the equation of continuity for the free surface height of the layer, h: (2. 3) |5 + ^-^ [^ (hu) + ^ (hv cos e)] = ; ^ -^ dt a cos 6 '-dA ^ ^ d© ' the system (2. 1)- (2. 3) can be represented as the homogeneous system L(W) =, where W is a vector with three components, (u, v, h). The independent variables A and 6 represent longitude and latitude respectively, with corresponding components of velocity, u and v; g is the gravi- tational constant; f = 20 sin is the Coriolis parameter, where O is the rate of angular rotation of the earth; while R is a constant coefficient so that the friction force is thus taken proportional r2~.
What to read after Final Report I?
You can find similar books in the "Read Also" column, or choose other free books by J J Stoker to read onlineMoreLess
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