Can someone show me the work for these problems so I actually know how to do the
ID: 250748 • Letter: C
Question
Can someone show me the work for these problems so I actually know how to do them? Thanks!
1. CONVERT THE FOLLOWING TO SI UNITS:
39.6 Btu ft/(lbm °F)
45.7 mm Hg min^3/(in^2 lbf)
82.1 hp cal cm^3/(psia °C)
20.3 cal liter^2/(gal^4 °F)
2. Are the following equations dimensionally consistent? Show how you arrived at the answer starting from the dimensions of the individual quantities.
[(Heat Transfer Coefficient) / (Frequency)] + [(Specific Heat)(Mass) / (Area)]=[(Length)(Energy)(Coefficient of Volumetric Thermal Expansion)/ (Volume)]
[(Mass Flow Rate)(Diffusion Coefficient)) / {(Density)(Area)}]= Volume + Frequency
3. Use the following to determine the Grashof Number (NGr) which is a dimensionless quantity during free convection.
D (diameter)=0.06 feet
r(density)=7.3 lbm/gal
g (acceleration due to gravity)=386.4 in/s^2
b (coef of vol. thermal exp.) = 3.5 x 10^-3 K-1
DT (temperature difference)=80°F
m (viscosity) = 0.13 lbm/ft hr
4. What is the density of water at 83 ° F?
5. At what temperature does the viscosity of water equal 0.00085 Pas?
Explanation / Answer
1. 39.6 Btu ft/(lbm °F) = 166000 J/kg-°C
(45.7 mm Hg (min^3)) / ((in^2) lbf) =4.58584236 × 1011 s3 / m4
2. both are consistent
3. b (coef of vol. thermal exp.) = 3.5 x 10^-3 K-1 is dimensionless
4. 996.14 Kg/m3
5. at temp 27 deg C water viscosity equal to 0.00085 Pas.