Mechanical properties of fluid

• Gauge pressure due to a fluid column = hρg
• Absolute pressure=Pg + hρg
• Work done in blowing a soap bubble by increasing its radius from r1 to r2, W=T(Af−Ai)=T(8πr^2)
• If n drops, each of radius r, coalesce to form a single drop radius R

  R^3=nr^3

  Energy released absorbed = 4πT(nr^2-R^2)
• For a cavity (gas bubble inside a liquid) p-p0 = 2T/R
• For a soap bubble, p-p0 = 4T/R
• h= 2TCos(θ)/ρgr
• Density of seawater varies with salinity and temperature.
• TEMPERATURE, T=To(1-αθ)
• Re= Vodρ/η
• F/A = η (dv/dy)
• |f|= 6Πηrv0
• 1. Vt = 2/9 ( r^2 ( ρ-ρ∘)g/η)
• Equation of continuity, A1ρ1V1= A2ρ2V2
• Bernoulli's equation, p + (1/2)ρv^2 + ρgy= constant
• Venturimeter, v inlet = √ { 2ρmgh / ρ [(A1/A2)^2-1] }
• Velocity of efflux, v= √ {2 [(p-p0/p)+gh)]}