The heat transfer coefficient (h) for a vapor bubble rising through a boiling liquid is given by                          h ¼ A kVcp d 1=2 where V ¼ g 2 v 1=4 where h ¼ heat transfer coefficient...

The heat transfer coefficient (h) for a vapor bubble rising through a boiling liquid is given by

                         h ¼ A kVcp d

where h ¼ heat transfer coefficient [e.g., Btu/(hr8F ft2 )], cp ¼ liquid heat capacity [e.g., cal/(g 8C)], k ¼ liquid thermal conductivity [e.g., J/(s Km)],  ¼ liquid/vapor surface tension [e.g., dyn/cm],  ¼ liquid vapor ¼ 1 v, d ¼ bubble diameter, and g ¼ acceleration due to gravity.

(a) What are the fundamental dimensions of V and A?

(b) If the value of h is 1000 Btu/(hr ft2 8F) for a 5 mm diameter steam bubble rising in boiling water at atmospheric pressure, determine the corresponding values of V and A in SI units. You must look up values for the other quantities you need; be sure to cite the sources you use for these data.