The heat flux for stable film boiling on the outside of a horizontal cylinder or sphere of diameter D, in m, is given below. What should be the value of "n", for the equation above to be dimensionally consistent? Use dimensional analysis: W m² ġ = heat flux, à Cf = C₁9 K² P₂ (P [g k³ Pv(P₁ − Pv)[hƒg +0.4 Cpv (Ts - Tsat)]] - MyD (Ts - Tsat) kv = thermal conductivity of vapor, kg Pv density of vapor, 'm³ kg P₁ = density of liquid, m³ hgf = enthalpy of vaporization, kg W m °C m g = gravitatioinal acceleration, S² C₂ = experimental constant, dimensionless n J Cpv = specific hear of vapor, kg °C Ts = surface temperature of the heater, °C Tsat saturation temperature of vapor, °C kg My viscosity of vapor, ms (Ts - Tsat)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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The heat flux for stable film boiling on the outside of a horizontal cylinder or sphere of diameter
D, in m, is given below. What should be the value of "n", for the equation above to be
dimensionally consistent? Use dimensional analysis:
q=heat flux,
W
m²
W
k = thermal conductivity of vapor, 'm °C
hgf
-
[g kỷ Pv(P₁ − Pv)[hfg + 0.4 Cpv (Ts − Tsat)]]
à = Cf
MyD (Ts - Tsat)
Pv = density of vapor,
P₁ = density of liquid,-
kg
m³
kg
'm³
Cpv
= enthalpy of vaporization,
kg
g = gravitatioinal acceleration,
C = experimental constant, dimensionless
m
J
kg °C
Ts = surface temperature of the heater, °C
Tsat = saturation temperature of vapor, °C
kg
Hv = viscosity of vapor,
ms
= specific hear of vapor,
(Ts - Tsat)
Transcribed Image Text:The heat flux for stable film boiling on the outside of a horizontal cylinder or sphere of diameter D, in m, is given below. What should be the value of "n", for the equation above to be dimensionally consistent? Use dimensional analysis: q=heat flux, W m² W k = thermal conductivity of vapor, 'm °C hgf - [g kỷ Pv(P₁ − Pv)[hfg + 0.4 Cpv (Ts − Tsat)]] à = Cf MyD (Ts - Tsat) Pv = density of vapor, P₁ = density of liquid,- kg m³ kg 'm³ Cpv = enthalpy of vaporization, kg g = gravitatioinal acceleration, C = experimental constant, dimensionless m J kg °C Ts = surface temperature of the heater, °C Tsat = saturation temperature of vapor, °C kg Hv = viscosity of vapor, ms = specific hear of vapor, (Ts - Tsat)
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