Viscosity of fluid plays a significant role in the analyses of many fluid dynamics problems. The viscosity of water can be determined from the following correlation: u=c110(c2/T-c3) where u=viscosity(N/s x m2), T=temperature(k), c1=2.414 x 10-5, c2=247.8 (k), c3=140 (k) . What is the appropriate unit for c1, if the above equation is to be homogeneous in units?

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Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter19: Temperature, Thermal Expansion And Gas Laws

Section: Chapter Questions

Problem 18PQ

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Viscosity of fluid plays a significant role in the analyses of many fluid dynamics problems. The viscosity of water can be determined from the following correlation: u=c₁10(c₂/T-c₃) where u=viscosity(N/s x m²), T=temperature(k), c₁=2.414 x 10^-5, c₂=247.8 (k), c₃=140 (k) . What is the appropriate unit for c₁, if the above equation is to be homogeneous in units?

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