A capillary tube has an 8mm inside diameter through which liquid fluorine refrigerant R-11 flows at a rate of 0.03 cm3/s. The tube isto be used as a throttling device in an air conditioning unit. A model of this flow is constructed by using a pipe of 3cm inside diameter and water as the fluid medium. (Density of R-11 = 1.494 g/cm3 and its viscosity is 4.2 x10-4 Pa.s; Density of water is 1g/cm3 and its viscosity 8.9 x10-4 Pa.s)a) What is the required velocity in the model for dynamic similarity? Hint: For flow through a tube the Ne number can be expressed in terms of the Reynolds numberb) When dynamic similarity is achieved the pressure drop is measured at 50 Pa. What is the corresponding pressure drop in the capillary tube?Hint: In this case the Euler number defines dynamic similarity with reference to the static pressure drop
A capillary tube has an 8mm inside diameter through which liquid fluorine refrigerant R-11
flows at a rate of 0.03 cm3
/s. The tube isto be used as a throttling device in an air conditioning
unit. A model of this flow is constructed by using a pipe of 3cm inside diameter and water as
the fluid medium. (Density of R-11 = 1.494 g/cm3 and its viscosity is 4.2 x10-4 Pa.s; Density of
water is 1g/cm3 and its viscosity 8.9 x10-4 Pa.s)
a) What is the required velocity in the model for dynamic similarity?
Hint: For flow through a tube the Ne number can be expressed in terms of the Reynolds
number
b) When dynamic similarity is achieved the pressure drop is measured at 50 Pa. What is
the corresponding pressure drop in the capillary tube?
Hint: In this case the Euler number defines dynamic similarity with reference to the static
pressure drop
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