Problem 3. Steam enters a 6.0 cm inner diameter tube at 600 K and 300 kPa. The a

Question

Problem 3. Steam enters a 6.0 cm inner diameter tube at 600 K and 300 kPa. The average velocity of the steam is 4 m/s. Determine the mass flow rate of the steam assuming steady flow. You can use the textbook steam tables or the NIST tables for this problem. List the state and source for the properties used. Problem 3. Steam enters a 6.0 cm inner diameter tube at 600 K and 300 kPa. The average velocity of the steam is 4 m/s. Determine the mass flow rate of the steam assuming steady flow. You can use the textbook steam tables or the NIST tables for this problem. List the state and source for the properties used.

Explanation / Answer

KNOWN:

Diameter = 6 cm

Temperature = 600 K

Pressure = 300 kPa

Average velocity = 4 m/s

FIND

Mass flow rate of steam,m

ASSUMPTIONS
No viscosity effects

Flow is steady

SKETCH:

It is not a process. There is no need of sketch

PROPERTIES:

v(0.3 MPa,600 K) = 0.9176 m^3/kg

ANALYSIS:

At P = 300 kPa

Tsat = 407 K

Since T > Tsat, It is in Superheated conditions

Now From the Superheated Tables

At P = 300 kPa and T = 600 K

v = 0.9176 m^3/kg

We know

Density,(Rho) = 1/v = 1.0898 kg/m^3

Mass Flow rate, m = Rho*V*A = rho*V*Pi/4*D^2

m = 1.0898*4*Pi/4*6^2*10^-4

m = 1.232*10^-2 kg/s

DISUSSIONS:

The amount of the mass flow is very important in large control volume systems, like power plants where the power output is dependent on it

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