0.023 k 0.2 DG here C, is heat capacity, Btu lb °F'; µ is viscosity, lb h ft'; k is thermal conductivi u h¯l ft² (°F ft¯1)-1; D is pipe diameter, ft; and G is mass velocity per unit area, lb h ne Colburn equation is dimensionally consistent. What are the units and dimensions c e heat transfer coefficient, h?-
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- Liquid biofuel (density= 789 kg/m3) is being pumped from a storage tank through a pipe with 1-inch innerdiameter (ID). The fuel is being pumped at a rate of 3.00 gallons per minute. In this process, what is thekinetic energy transport rate (Ėk) in units of horsepower (hp) and ft•lbf/sec.An important parameter in fluid flow problems involving thin films is the Weber number (We) which can be expressed in equation form as We=[pv^2L/(omega)] where p is the density of the fluid, v is a velocity, L is a length, and (omega) is the surface tension of the fluid. If the Weber number is dimensionless, what are the dimensions of the surface tension (omega)?We would like to develop an empirical correlation to determine the heat trans- fer coefficient, h, for turbulent flow in a circular conduit. Please use the order provided for the lists of physical variables and fundamental units in working this problem. The following physical variables are to be included: h, average fluid velocity v, density ρ, viscosity μ, thermal conductivity k, specific heat capacity c, diameter D, and length L. (a) Express each physical variable in terms of fundamental units mass (m), length (l), time (t), and temperature (θ).
- In English Engineering units, the specifi c heat c p of air atroom temperature is approximately 0.24 Btu/(lbm-° F).When working with kinetic energy relations, it is more appropriateto express c p as a velocity-squared per absolutedegree. Give the numerical value, in this form, of c p for airin ( a ) SI units, and ( b ) BG units.An important parameter in fluid flow problemsinvolving thin films is the Weber number (We) which canbe expressed in equation form.where p is the density of the fluid, v is a velocity, L is alength, and O" is the surface tension of the fluid. If the Webernumber is dimensionless, what are the dimensions of thesurface tension O"?Write the primary dimensions of the universal ideal gas constant Ru. (Hint: Use the ideal gas law, PV = nRuT where P is pressure, V is volume, T is absolute temperature, and n is the number of moles of the gas.)
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