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In 1916 Nusselt derived a theoretical relation for predicting the coefficient of

ID: 1001590 • Letter: I

Question

In 1916 Nusselt derived a theoretical relation for predicting the coefficient of heat transfer between a pure saturated vapor and a colder surface: h = 0.943(k63 rho^2glambda/Lmu Delta T)^1/4 where h is the mean heat transfer coefficient, Btu/[(hr)(ft^2)(degreeF)] k is the thermal conductivity, Btu/[(hr)(ft)(degreeF)) rho is the density in lb/ft^3 g is the acceleration of gravity, 4.17 X 10^8 ft/(hr)^2 A is the enthalpy change of evaporation in Btu/lb L is the length of tube in ft is the viscosity in lb_m/[(hr)(ft)] DeltaT is a temperature difference in degreeF What are the units of the constant 0.943?

Explanation / Answer

Please open the links given below for the solution:

https://drive.google.com/file/d/0B6dMHv0kIQCgWV9oMnpocXY5QUU/view?usp=sharing

https://drive.google.com/file/d/0B6dMHv0kIQCgS240M29FWk01Rms/view?usp=sharing

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There is no unit for constant 0.943 , as by unit dimensional analysis, left side units are already equal to right side units.