The heat flux for stable film boiling on the outside of a horizontal cylinder or sphere of diameterD, in m, is given below. What should be the value of "n", for the equation above to bedimensionally consistent? Use dimensional analysis:q=heat flux,Wm²Wk = thermal conductivity of vapor, 'm °Chgf-[g kỷ Pv(P₁ − Pv)[hfg + 0.4 Cpv (Ts − Tsat)]]à = CfMyD (Ts - Tsat)Pv = density of vapor,P₁ = density of liquid,-kgm³kg'm³Cpv= enthalpy of vaporization,kgg = gravitatioinal acceleration,C = experimental constant, dimensionlessmJkg °CTs = surface temperature of the heater, °CTsat = saturation temperature of vapor, °CkgHv = viscosity of vapor,ms= specific hear of vapor,(Ts - Tsat)

The dimension of the following variable are as…

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)

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.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Work and Heat Transfer

It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. There are various mechanisms by which, transfer of heat takes place i.e. thermal conduction, convection, radiation or by change of phase. All these mechanisms have their own specific features which sometimes occur simultaneously within the same system.

Question

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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