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Heat Transfer and Thermodynamics Equation Sheet

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John
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Heat Transfer Equation Sheet

Fourier’s Law (Conduction)
Newton’s Law (Convection)
Stefan-Boltzmann’s Law (Radiation)
General Equation for Thermal Energy for Convection and Conduction
Thermal Resistance
Lumped Analysis
Biot Number
Biot Number
Thermal Diffusivity
Fourier’s Number
Semi-infinite
Incoming Radiation
Radiation Resistances
Radiation Resistance with Shield
Reynold’s Number (External Flow)
Nusselt Number
Nusselt Number for Forced Convection

External Forced Convection
Nusselt Number (Laminar)

External Forced Convection Nusselt Number (Turbulent)
Drag Coefficient
Friction Coefficient
External Forced Convection Friction Coefficient (Laminar)
External Forced Convection Friction Coefficient (Turbulent)
Log Mean Temperature Difference
Reynold’s Number (Internal Flow)
“Hydrodynamic Boundary Layer
Length”
Thermal Development Layer Length
Total Heat Transfer in Flow
Heat Transfer from Wall
Volumetric Thermal Expansion
Rayleigh Number
Grashof Number
“Nusselt Number for Free
Convection”
Mixed Convection

Assumptions

1D
Steady State
Radiation
Contact Resistance
Transient State
Lumped Analysis
Assume shape
Opaque
Convection Flow
Ideal gas law
Wall to room

Q vs q
“Generated, Transferred, and
stored”
General Equation for Thermal Energy for Convection and Conduction

Maximising heat transfer
Series and parallel resistances
Transient State
“Temperature
Distribution”
Lumped Analysis
Heisler Charts
Semi-infinite
Kinematic viscosity
Laminar vs Turbulent
Prandtl Number

Thermodynamics Equation Sheet

Name
Energy
1st Law
Boundary work
“1st Law for Constant Volume and Steady State
(E˙ 0)”
Flow Work
Enthalpy
Constant Heat Capacity
“Energy Balance for Open System with Fixed
Volume and Steady State”
Nozzles and Diffusers
Throttling
Expansion and Compression
“Pump with an
Incompressible Fluid”
Entropy (General Closed System)
Entropy (Incompressible)
Entropy (Isothermal)
Entropy (General Balance for any System)
Entropy Change in an Ideal Gas (Constant Heat Capacity)
“Entropy Change in an Ideal Gas (Variable Heat
Capacity)”
Isentropic Efficiency for a Turbine
Isentropic Efficiency for a Compressor
Exergy (control mass closed system)
Change in Exergy
Irreversibility
Exergy Balance for Closed Systems
Efficiency of a Reversible Cycle
“Exergy Balance for Open
Systems”
Exergy for a Flow
Reversible Work

Actual Work
General Efficiency from 1st Law
General Efficiency from 2nd Law
Ideal Otto Cycle
Ideal Brayton Cycle
Diesel Cycle
Stirling Cycle
Ericsson Cycle
Rankine Cycle
Coefficient of Performance
Conservation of Mass
Enthalpy of Reaction
Entropy in Combustion

Steady State
Ideal Gas
Constant Properties
Negligible EK and EP
Nozzles and Diffusers
Throttling
Expansion and Compression
No Heat Losses
Air Standard Assumptions

Isenthalpic
Isothermal
Isobaric
Isochoric
Adiabatic
Heat Capacities
Nozzles and Diffusers
Throttling
Expansion
Compression
Unsteady Flow
Entropy
Efficiency
The Dead State
Exergy
Otto Cycle
Brayton Cycle
Diesel Cycle
Stirling Cycle
Ericsson Cycle
Rankine Cycle
Refrigeration Cycle

PREVIEW

Heat Transfer and Thermodynamic Equation Sheet

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Heat Transfer and Thermodynamics Equation Sheet
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