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  • Introduction to Physical Oceanography

    Lect rer Dr Eng Hendra AchiariLecturer: Dr.Eng Hendra AchiariWeek 4

    Basic Equation

    Earth-Atmospheric system &Heat Balance

  • Conservation laws (Basic equation of Fluid Dynamics)

    Conservation of Mass Continuity eq.Conservation of Mass Conservation of Momentum Conservation of Energy

    C ti f A l M t

    Continuity eq. Momentum (NS) eq. Heat budget / Wave eq C ti f V ti it Conservation of Angular Momentum Conservation of Vorticity

  • Dominant Forces for Ocean DynamicsDominant Forces for Ocean Dynamics

    Gravity : pressure gradient, buoyancy and tides Coriolis : lt f ti i t ti di t Coriolis : result from motion in a rotating coordinate sys. Friction : due to relative motion between two fluid

    particle & Wind stress is important friction forceparticle & Wind stress is important friction force.

    Other forceAt h i Atmospheric pressure

    Seismic

  • Type flow in the OceanType flow in the Ocean

    General flow : the permanent time averaged circulationGeneral flow : the permanent, time averaged circulation Abyssal (Deep circulation) in deep ocean

    driven by mixingdriven by mixing Wind driven Circulation: Caused by local wind Gyre: wind driven cyclonic/anticyclonic current with dimension

    nearly ocean basin

    B d t Boundary currents: parallel to the coast Jet : long narrow current Mesoscale eddies: spinning flows

  • Oscillatory flows due to wavesOscillatory flows due to waves

    Planetary waves : rotation of earth Kalvin wavePlanetary waves : rotation of earth, Kalvin wave Surface waves: gravity waves

    I t l Internal waves: change density with depth Tsunami: generated by earthquake Tidal currents: currents associated with internal wave

    driven by tidal potential

    Edge wave : surface waves confined to shallow regions near shore.

  • Conservation of Mass and Salt(bulk formula)

    Can be used to obtain useful informationCan be used to obtain useful information about flow in the ocean ( a basin)

    Can calculate the latent heat flux over the Can calculate the latent heat flux over the surfaceC l l t t ti k i li it Calculate net evaporation knowing salinity of flow in Si and out So, together with a

    h ti t f t V fl i t frough estimate of water Vo flowing out of a basin.

  • Total DerivativeTotal Derivative

  • Total derivative (cont )Total derivative (cont.)

  • Momentum EquationMomentum Equation

  • Momentum Eq (Cont)Momentum Eq (Cont)

  • ContCont

  • Conservation of MassConservation of Mass

  • Conservation Mass (cont)Conservation Mass (cont)

  • ContCont.

  • ContCont