SCHOOL of ENGINEERING               UNIVERSITY of PLYMOUTH                                   

 

BENG1   INTRODUCTION to THERMO-FLUIDS  (THER 103)

 

TUTORIAL EXAMPLES in FLUID PROPERTIES

 

(SSL conditions are 101.325 kPa, and 15°C)

 

1.                  A system contains 1.45 kg of gas with a specific enthalpy of 1200 kJ/kg. What is the total system enthalpy?          [1740 kJ]

2.                  If the gas in Qu.1 occupies a volume of 0.87 m³, what is its specific volume? What is its density?      [v = 0.600 m³/kg; r= 1.667 kg/m³ ]

3.                  Convert the following temperatures to K: 112°C; 2400°C; 67°F.
[385K; 2673K; 292.4K]

4.                  A thermometer contains 1 gm of mercury. Calculate the height change in a 70 micron bore if its temperature rises from 20°C to 80°C. Assume the relative density of mercury = 13.6, and .       [20.64 cm]

5.                  An ordinary pressure gauge used to measure the pressure in a refrigeration evaporator indicates 110 kPa. The temperature of evaporation of a refrigerant depends on the pressure. Determine the evaporating temperature given the evaporating temperature/pressure relationship below.        [-11.05 °C]

Absolute pressure (kPa)

100.3

123.6

150.8

182.5

219.0

Evaporating temp. (°C)

-30

-25

-20

-15

-10

 

6.                  In an experimental investigation it was noted that 0.5 kg of a gas occupied 0.1033 m³ at a pressure of 3 bar absolute and 55°C. After isobaric heat transfer its temperature increased to 80°C and its volume increased by 7.62%. A change in its specific internal energy was known to be related to a change in temperature by:   Du = cv DT where cv = 0.63 kJ/kgK.  Determine the change in specific enthalpy.    [20.473 kJ/kg]

7.                  An oil of unknown viscosity is placed in the gap between two concentric cylinders. The gap between the cylinders is 1mm and the torque required to rotate the inner cylinder at 20 RPM was found to be 0.17 Nm. If the inner cylinder diameter is 200mm and its depth is 100mm find the oil’s dynamic viscosity.
[0.1292 Ns/m², or 129.2 centipoise]

8.                  Using the SPECIFIC ENTHALPY OF WATER AND STEAM table given in your notes, find the specify enthalpy of water/steam at a pressure of 6 MPa, and temperatures of 35°C and 425°C respectively. Use these figures to determine the rate at which heat has to be supplied to generate 25 kg/s of steam at 425°C and 6 MPa from water at 35°C and 6 MPa.     [151.94 kJ/kg and 3243 kJ/kg; 77.28 MW]