Chapter:

Transient-(Unsteady-State-Heat-Conduction)

A mercury rmometer with bulb idealized as a sphere of 1 mm radius is used for measuring temperature of fluid whose temperature is varying at a fast rate. For mercury

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k = 10 W/m K

α = 0.00005 m2/s

h = 10 W/m2 K

If time for temperature change of fluid is 3 second, what should be radius of rmocouple to read temperature of fluid?
For rmocouple material
k = 100 W/m K
α = 0.0012 m2/s
h = 18 W/m2 K