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Equations of Motion in Atmosphere Dynamics

Explore the equations governing vertical and horizontal motion in the atmosphere, focusing on thermally driven circulation alongside geostrophic assumptions and hydrostatic equilibrium.

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Equations of Motion in Atmosphere Dynamics

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  1. Vertical and horizontal motion Low High Low High Thermally Driven Direct Circulation High Low

  2. Equation of Motion a = dV/dt = G + Pz+Pn+ C + F = -gk - (1/ρ)p - fk x V - bV • Geostrophic assumptions: • Hydrostatic equilibrium G + Pz= 0 • Friction negligible F = 0 • Uniform pressure gradient Pnis constant (straight parallel evenly spaced isobars) • No net acceleration a = Pn+ C = 0 L Pn = a V0 = 0 H

  3. Equation of Motion a = dV/dt = G + Pz+Pn+ C + F = -gk - (1/ρ)p - fk x V - bV • Geostrophic assumptions: • Hydrostatic equilibrium G + Pz= 0 • Friction negligible F = 0 • Uniform pressure gradient Pnis constant (straight parallel evenly spaced isobars) • No net acceleration a = Pn+ C = 0 L a = Pn+ C Pn C V = V0 + = V0 + a H

  4. Equation of Motion a = dV/dt = G + Pz+Pn+ C + F = -gk - (1/ρ)p - fk x V - bV • Geostrophic assumptions: • Hydrostatic equilibrium G + Pz= 0 • Friction negligible F = 0 • Uniform pressure gradient Pnis constant (straight parallel evenly spaced isobars) • No net acceleration a = Pn+ C = 0 L a = Pn+ C Pn V+ C H

  5. Equation of Motion a = dV/dt = G + Pz+Pn+ C + F = -gk - (1/ρ)p - fk x V - bV • Geostrophic assumptions: • Hydrostatic equilibrium G + Pz= 0 • Friction negligible F = 0 • Uniform pressure gradient Pnis constant (straight parallel evenly spaced isobars) • No net acceleration a = Pn+ C = 0 L Pn a = Pn+ C V+ C H

  6. Equation of Motion a = dV/dt = G + Pz+Pn+ C + F = -gk - (1/ρ)p - fk x V - bV • Geostrophic assumptions: • Hydrostatic equilibrium G + Pz= 0 • Friction negligible F = 0 • Uniform pressure gradient Pnis constant (straight parallel evenly spaced isobars) • No net acceleration a = Pn+ C = 0 L Pn V+ a = Pn+ C C H

  7. Equation of Motion a = dV/dt = G + Pz+Pn+ C + F = -gk - (1/ρ)p - fk x V - bV • Geostrophic assumptions: • Hydrostatic equilibrium G + Pz= 0 • Friction negligible F = 0 • Uniform pressure gradient Pnis constant (straight parallel evenly spaced isobars) • No net acceleration a = Pn+ C = 0 Pn L V+ a = Pn+ C C H

  8. Equation of Motion a = dV/dt = G + Pz+Pn+ C + F = -gk - (1/ρ)p - fk x V - bV • Geostrophic assumptions: • Hydrostatic equilibrium G + Pz= 0 • Friction negligible F = 0 • Uniform pressure gradient Pnis constant (straight parallel evenly spaced isobars) • No net acceleration a = Pn+ C = 0 Pn L V+ a = Pn+ C C H

  9. Equation of Motion a = dV/dt = G + Pz+Pn+ C + F = -gk - (1/ρ)p - fk x V - bV • Geostrophic assumptions: • Hydrostatic equilibrium G + Pz= 0 • Friction negligible F = 0 • Uniform pressure gradient Pnis constant (straight parallel evenly spaced isobars) • No net acceleration a = Pn+ C = 0 Pn L V+ a = Pn+ C C H

  10. Equation of Motion a = dV/dt = G + Pz+Pn+ C + F = -gk - (1/ρ)p - fk x V - bV • Geostrophic assumptions: • Hydrostatic equilibrium G + Pz= 0 • Friction negligible F = 0 • Uniform pressure gradient Pnis constant (straight parallel evenly spaced isobars) • No net acceleration a = Pn+ C = 0 Pn L Vg a = Pn+ C = 0 C H

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