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Cloud Physics. What is a cloud?. Cloud Physics. What is a cloud? Water droplets or ice crystals in the air. Cloud Physics. What is a cloud? Water droplets or ice crystals in the air. Why important?. Cloud Physics. What is a cloud? Water droplets or ice crystals in the air.
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Cloud Physics • What is a cloud?
Cloud Physics • What is a cloud? • Water droplets or ice crystals in the air.
Cloud Physics • What is a cloud? • Water droplets or ice crystals in the air. • Why important?
Cloud Physics • What is a cloud? • Water droplets or ice crystals in the air. • Why important? • Precipitation • Solar radiation
Cloud Physics • What is a cloud? • Water droplets or ice crystals in the air. • Why important? • Precipitation • Solar radiation • What do we want to learn? • Formation of clouds • Development of precipitation
Cloud Physics • What is a cloud? • Water droplets or ice crystals in the air. • Why important? • Precipitation • Solar radiation • What do we want to learn? • Formation of clouds • Development of precipitation • Methods?
Cloud Physics • What is a cloud? • Water droplets or ice crystals in the air. • Why important? • Precipitation • Solar radiation • What do we want to learn? • Formation of clouds • Development of precipitation • Methods? • Cloud microphysics • Cloud dynamics
Cloud Physics • Understanding the properties of clouds • What clouds are (why are they different) • How they develop in time • How they interact and affect the energy balance of the planet • Development of precipitation, rain, hail, and snow • Role in general circulation of the atmosphere
Cloud Physics • Understanding the properties of clouds • What clouds are (why are they different) • How they develop in time • How they interact and affect the energy balance of the planet • Development of precipitation, rain, hail, and snow • Role in general circulation of the atmosphere • These subjects are important to • Radar meteorology • Weather modification • Severe storms research • Global energy balance (greenhouse effect)
Overview • Thermodynamics of dry air • Water vapor and its thermodynamic effects • Parcel buoyancy and atmospheric stability • Mixing and convection • Observed properties of clouds • Formation of cloud droplets • Droplet growth by condensation • Initiation of rain • Formation and growth of ice crystals • Severe weather
Atmospheric composition • Permanent gases • Variable gases • Aerosols
Atmospheric composition • Permanent gases • Nitrogen, oxygen, argon, neon, helium, etc. • Variable gases • Water vapor, carbon dioxide, and ozone. • Aerosols • Smoke, dust, pollen, and condensed forms of water (hydrometeors).
Review • Zeroth law of thermodynamics
Review • Zeroth law of thermodynamics • Concept of thermometer • Charles’ Law
Review • Zeroth law of thermodynamics • Concept of thermometer • Charles’ Law • /T = R/p = f(p) • Define temperature, K = ?
Review • Zeroth law of thermodynamics • Concept of thermometer • Charles’ Law • /T = R/p = f(p) • Define temperature, K = ? • Boyle’s Law
Review • Zeroth law of thermodynamics • Concept of thermometer • Charles’ Law • /T = R/p = f(p) • Define temperature, K = ? • Boyle’s Law • p = RT = g(T) • Avogadro’s law (ideal gas)
Review • Zeroth law of thermodynamics • Concept of thermometer • Charles’ Law • /T = R/p = f(p) • Define temperature, K = ? • Boyle’s Law • p = RT = g(T) • Avogadro’s law (ideal gas) • p /T = R* / m =R (for individual gas or R’ for dry air) • m: molecular weight = ?
Review • Zeroth law of thermodynamics • Concept of thermometer • Charles’ Law • /T = R/p = f(p) • Define temperature, K = ? • Boyle’s Law • p = RT = g(T) • Avogadro’s law (ideal gas) • p /T = R* / m • m: molecular weight = ? • 1st law of thermodynamics
Review • Zeroth law of thermodynamics • Concept of thermometer • Charles’ Law • /T = R/p = f(p) • Define temperature, K = ? • Boyle’s Law • p = RT = g(T) • Avogadro’s law (ideal gas) • p /T = R* / m =R (for individual gas or R’ for dry air) • m: molecular weight = ? • 1st law of thermodynamics • dq = du + dw = du + p d = dh - dp • Work-heat relation (1 cal = ? J)
Review • Zeroth law of thermodynamics • Concept of thermometer • Charles’ Law • /T = R/p = f(p) • Define temperature, K = ? • Boyle’s Law • p = RT = g(T) • Avogadro’s law (ideal gas) • p /T = R* / m =R (gas constant for individual gas or R’ for dry air ) • m: molecular weight = ? • 1st law of thermodynamics • dq = du + dw = du + p d = dh - dp • Work-heat relation (1 cal = ? J) • Dalton’s law
Review, cont. • Specific heats:
Review, cont. • Specific heats: c = dq/dT • cv =(q/T) • cp= ( q/T)p • cp = cv + R
Review, cont. • Specific heats: c = dq/dT • cv =(q/T) • cp= ( q/T)p • cp = cv + R • Equipartition of energy
Review, cont. • Specific heats: c = dq/dT • cv =(q/T) • cp= ( q/T)p • cp = cv + R • Equipartition of energy • degree of freedom: f • u = fRT/2
Review, cont. • Specific heats: c = dq/dT • cv =(q/T) • cp= ( q/T)p • cp = cv + R • Equipartition of energy • degree of freedom: f • u = fRT/2 • Entropy (3 meanings)
Review, cont. • Specific heats: c = dq/dT • cv =(q/T) • cp= ( q/T)p • cp = cv + R • Equipartition of energy • degree of freedom: f • u = fRT/2 • Entropy • d = dq/T • Irreversible processes: entropy change is defined by that in reversible processes.
Review, cont. • Specific heats: c = dq/dT • cv =(q/T) • cp= ( q/T)p • cp = cv + R • Equipartition of energy • degree of freedom: f • u = fRT/2 • Entropy • d = dq/T • Irreversible processes: entropy change is defined by that in reversible processes. • 2nd law of thermodynamics
Review, cont. • Specific heats: c = dq/dT • cv =(q/T) • cp= ( q/T)p • cp = cv + R • Equipartition of energy • degree of freedom: f • u = fRT/2 • Entropy • d = dq/T • Irreversible processes: entropy change is defined by that in reversible processes. • 2nd law of thermodynamics • d system + d environment 0.
Review: Processes Isochoric:
Review: Processes Isochoric: dq = du, dq = cv dT Isobaric:
Review: Processes Isochoric: dq = du, dq = cv dT Isobaric: pV0 = const, dq = cp dT Isothermal:
Review: Processes Isochoric: dq = du, dq = cv dT Isobaric: pV0 = const, dq = cp dT Isothermal: pV1 = const, du = 0, dq = - dp = pd = dw Adiabatic:
Review: Processes Isochoric: dq = du, dq = cv dT Isobaric: pV0 = const, dq = cp dT Isothermal: pV1 = const, du = 0, dq = - dp = pd = dw Adiabatic: pV = const, dq = 0 cp dT = dp, cv dT =- pd where = cp / cv = 1+2/f Polytropic:
Review: Processes Isochoric: dq = du, dq = cv dT Isobaric: pV0 = const, dq = cp dT Isothermal: pV1 = const, du = 0, dq = - dp = pd = dw Adiabatic: pV = const, dq = 0 cp dT = dp, cv dT =- pd where = cp / cv = 1+2/f Polytropic: pVn = const. (adiabatic) Free expansion:
Review: Processes Isochoric: dq = du, dq = cv dT Isobaric: pV0 = const, dq = cp dT Isothermal: pV1 = const, du = 0, dq = - dp = pd = dw Adiabatic: pV = const, dq = 0 cp dT = dp, cv dT =- pd where = cp / cv = 1+2/f Polytropic: pVn = const. (adiabatic) Free expansion: q= u= T = 0, 0
Review: Processes Isochoric: dq = du, dq = cv dT Isobaric: pV0 = const, dq = cp dT Isothermal: pV1 = const, du = 0, dq = - dp = pd = dw Adiabatic: pV = const, dq = 0 cp dT = dp, cv dT =- pd where = cp / cv = 1+2/f Polytropic: pVn = const. (adiabatic) Free expansion: q= u= T = 0, 0 Homework: 1.1, 1.2, and 1.3, 1.5* due on ?
Diagrams P-V diagram:
Diagrams • P-V diagram: work pd,
Diagrams • P-V diagram: work pd, • u: state function, remains same in a cycle. • ∮dw=∮𝑑𝑞.
Diagrams • P-V diagram: work pd, • u: state function, remains same in a cycle. • ∮dw=∮𝑑𝑞. • P-T diagram:
Diagrams P-V diagram: work pd, u: state function, remains same in a cycle. ∮dw=∮𝑑𝑞. P-T diagram: Where is each state, triple point phase transitions.
Diagrams P-V diagram: work pd, u: state function, remains same in a cycle. ∮dw=∮𝑑𝑞. P-T diagram: Where is each state, triple point phase transitions. e- diagram:
Diagrams • P-V diagram: work pd, • u: state function, remains same in a cycle. • ∮dw=∮𝑑𝑞. • P-T diagram: • Where is each state, triple point • phase transitions. • e- diagram: • e: vapor pressure • phase transitions, isotherm.
Diagrams • P-V diagram: work pd, • u: state function, remains same in a cycle. • ∮dw=∮𝑑𝑞. • P-T diagram: • Where is each state, triple point • phase transitions. • e- diagram: • e: vapor pressure • phase transitions, isotherm. • Stüve (p –T) diagram: adiabatic • T/ = (p/1000mb) , potential temp, =R/cp
Diagrams • P-V diagram: work pd, • u: state function, remains same in a cycle. • ∮dw=∮𝑑𝑞. • P-T diagram: • Where is each state, triple point • phase transitions. • e- diagram: • e: vapor pressure • phase transitions, isotherm. • Stüve (p –T) diagram: adiabatic • T/ = (p/1000mb) , potential temp, =R/cp • Diagrams: area of a closed path
Diagrams, cont. • Emagram: • Work: V is difficult to measure for a p-V diagram.
Diagrams, cont. • Emagram: • Work: V is difficult to measure for a p-V diagram. • dw = pd = R’dT- dp = R’dT – R’T dp/p • ∮ dw = -R’ ∮T d(lnp) • energy-per-unit-mass diagram (R’=R*/m)