1 Flashcards
Define fluid in terms of mechanical behaviour
Both fluids and solids resist normal stresses by deforming however solids deform a limited amount and fluids do so continuously
Define stress
Force per unit area
Has two components - shear and normal
Define pressure
Normal stress in static fluids
Stress equations
σ= F/A τ= F/A
Technique of forming equations by simplifying units
Principle of dimensional homogeneity
Coefficient of compressibility
κ = dP/(dρ/ρ) = −dP/(dV/V) = - pressure change/ relative volume change
Isothermal compressibility
α = 1/κ for an ideal gas RT = constant and κ=P
Reynold’s number equation
Re = ρVL/μ
Reynold’s number values
Re < 2400 laminar
2400 < Re < 4000 transitional
4000 < Re turbulent
Mach number
Ma =v/c= flow velocity /speed of sound Ma<1 subsonic Ma =sonic 1< Ma supersonic 1 << Ma hypersonic
Extensive properties
Depend on amount in system (V, E)
Intensive properties
Independent of mass in system (T, ρ)
Continuum approximation
Atomic nature of matter is neglected, properties can be extrapolated to zero-size regions
Dynamic viscosity meaning μ
Resistance to deformation of a fluid from shear stress τ = μ dy/du
Viscosity for a newtonian fluid
μ = μ(P,T) strong function of temperature