Conservation of Mass and Energy Flashcards
What is the formula for mass flow rate (ṁ)?
Mass flow rate (ṁ) = (density)(cross-sectional area)(velocity) = (ρ)(A)(v)
What is the formula for volumetric flow rate (V̇)?
Volumetric flow rate (V̇) = (cross-sectional area)(velocity) = (A)(v)
What is the formula for Potential Energy (PE)?
Potential Energy (PE) = (mass)(gravity)(change in height) = (m)(g)(∆ h)
What is the formula for Kinetic Energy (KE)?
Kinetic Energy (KE) = (1/2)(mass)(velocity)^2 = (1/2)(m)(v)^2
What is the formula for Work Flow (Wf)?
Work Flow (Wf) = (pressure)(volume) = (p)(v)
What is the formula for Heat Energy of Fusion (Qf)?
Heat Energy of fusion (Qf) = (mass)(latent heat of fusion) = (m)(Lf)
What is the value of latent heat of fusion (Lf)?
Latent Heat of fusion (Lf) = 334 kJ / kg
What is the formula for Heat Energy of Vaporization (Qv)?
Heat Energy of vaporization (Qv) = (mass)(latent heat of vaporization) = (m)(Lv)
What is the value of latent heat of vaporization (Lv)?
Latent heat of vaporization (Lv) = 2257 kJ / kg
What is the formula for Sensible Heat (Qs)?
Sensible Heat (Qs) = (mass)(specific heat capacity)(change in temperature) = (m)(C)(∆ T)
What is the specific heat capacity of water (C)?
Specific heat capacity of water (C) = 4187 J / kg – K
= 4.187 kJ / kg – K
= 1 BTU / lbm – R
= 1 kcal / kg – K
= 1000 cal / kg – K
What is the formula for Enthalpy (ΔH)?
Enthalpy (∆ H) = (internal energy) + (work flow) = (U) + (Wf)
Enthalpy (∆ H) = (mass)(specific heat at constant pressure)(change in temperature) = (m)(Cp)(∆ T)
What is the formula for Internal Energy (ΔU)?
Internal Energy (∆ U) = (mass)(specific heat at constant volume)(change in temperature) = (m)(Cv)(∆ T)
What is the General Steady Flow Energy Equation?
Q - W = (∆PE) + (∆KE) + (∆U) + (∆Wf)
Q - W = (∆PE) + (∆KE) + (∆H)
