In boiling (and condensation) heat transfer, the convection coefficient, h, is expected to depend on the difference between surface and saturation temperature ∆T = Tsurface – Tsaturation, the body force arising from the density difference between liquid and vapor, g(ρl – ρv), the latent heat, hfg, the surface tension, σ, a characteristic length of the system, L, and the thermophysical properties of the liquid or vapor: ρ, c, k, μ. Thus we can write
h = h(∆T, g(ρl – ρv), hfg, σ, L, ρ, c, k, μ) Determine
(a) The number of dimensionless groups necessary to correlate experimental data, and
(b) Appropriate dimensionless groups that should include the Prandtl number, the Jakob number, and the Bond number (g∆ρL2/σ).
GIVEN
Heat transfer coefficient as a function of several dimensional quantities