Question

2. The Pelton wheel experiment was conducted with water (p=1000 kg/m³) under the following conditions: Pressure: 10 psi Turbine speed: 1209 rpm Pump speed: 2400 rpm Torque: 30 in-oz Flow rate: 5.0 cfm The internal diameter of an outlet pipe is 0.76 in, the effective radius of a turbine is 2.0 in. Calculate: (a) (10 points) pump head (b) (5 points) theoretical ideal jet velocity (neglecting friction losses) (c) (5 points) turbine speed (linear speed at the effective radius) (d) (5 points) hydraulic power (e) (5 points) brake power (f) (5 points) efficiency 3. In a heat transfer experiment a metallic cylinder of a radius 2 inches was heated to 150°F and then cooled down at room temperature 25°C. During the cooling process temperature measurements were obtained using three thermocouples positioned inside the cylinder at different distances from the cylinder center. The result processing showed that temperature differences obtained with different thermocouples are insignificant, in the range of experimental error which indicates the applicability of the lumped-heat- capacity theory. Figure 3 shows the experimental data fit of logarithm of dimensionless temperature $\ln \frac{T(t) - T_{\infty}}{T_o - T_{\infty}}$ vs. Fourier number Fo by a straight line. The slope of this line is - 0.0033. The thermophysical properties of a cylinder: thermal conductivity: 429 W/m-K specific heat: 235 J/kg-K density: 10500 kg/m³ Determine (a) (10 points) heat transfer coefficient of a cylinder (b) (10 points) temperature of a cylinder after 10 min of cooling.

          2. The Pelton wheel experiment was conducted with water (p=1000 kg/m³) under the
following conditions:
Pressure: 10 psi
Turbine speed: 1209 rpm
Pump speed: 2400 rpm
Torque: 30 in-oz
Flow rate: 5.0 cfm
The internal diameter of an outlet pipe is 0.76 in, the effective radius of a turbine is 2.0
in. Calculate:
(a) (10 points) pump head
(b) (5 points) theoretical ideal jet velocity (neglecting friction losses)
(c) (5 points) turbine speed (linear speed at the effective radius)
(d) (5 points) hydraulic power
(e) (5 points) brake power
(f) (5 points) efficiency
3. In a heat transfer experiment a metallic cylinder of a radius 2 inches was heated to
150°F and then cooled down at room temperature 25°C. During the cooling process
temperature measurements were obtained using three thermocouples positioned inside
the cylinder at different distances from the cylinder center. The result processing showed
that temperature differences obtained with different thermocouples are insignificant, in
the range of experimental error which indicates the applicability of the lumped-heat-
capacity theory.
Figure 3 shows the experimental data fit of logarithm of dimensionless temperature
$\ln \frac{T(t) - T_{\infty}}{T_o - T_{\infty}}$ vs. Fourier number Fo by a straight line. The slope of this line is - 0.0033.
The thermophysical properties of a cylinder:
thermal conductivity: 429 W/m-K
specific heat: 235 J/kg-K
density: 10500 kg/m³
Determine
(a) (10 points) heat transfer coefficient of a cylinder
(b) (10 points) temperature of a cylinder after 10 min of cooling.

2. The Pelton wheel experiment was conducted with water (p=1000 kg/m³) under the
following conditions:
Pressure: 10 psi
Turbine speed: 1209 rpm
Pump speed: 2400 rpm
Torque: 30 in-oz
Flow rate: 5.0 cfm
The internal diameter of an outlet pipe is 0.76 in, the effective radius of a turbine is 2.0
in. Calculate:
(a) (10 points) pump head
(b) (5 points) theoretical ideal jet velocity (neglecting friction losses)
(c) (5 points) turbine speed (linear speed at the effective radius)
(d) (5 points) hydraulic power
(e) (5 points) brake power
(f) (5 points) efficiency
3. In a heat transfer experiment a metallic cylinder of a radius 2 inches was heated to
150°F and then cooled down at room temperature 25°C. During the cooling process
temperature measurements were obtained using three thermocouples positioned inside
the cylinder at different distances from the cylinder center. The result processing showed
that temperature differences obtained with different thermocouples are insignificant, in
the range of experimental error which indicates the applicability of the lumped-heat-
capacity theory.
Figure 3 shows the experimental data fit of logarithm of dimensionless temperature
ln(T(t) - T∞)/(To - T∞) vs. Fourier number Fo by a straight line. The slope of this line is - 0.0033.
The thermophysical properties of a cylinder:
thermal conductivity: 429 W/m-K
specific heat: 235 J/kg-K
density: 10500 kg/m³
Determine
(a) (10 points) heat transfer coefficient of a cylinder
(b) (10 points) temperature of a cylinder after 10 min of cooling.

Added by Stanley S.

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