The Colburn equation for heat transfer is: where Cp is heat capacity, Btu Ib °F; u is viscosity, Ib h* ft"; k is thermal conductivity, Btu h ft (°F ft)"; D is pipe diameter, ft; and G is mass velocity per unit area, Ib h ft?. h 2/3 (Cpµ \CpG/ 0.023 k DG 0.2 The Colburn equation is dimensionally consistent. What are the units and dimensions of the heat transfer coefficient, h? Please write here the complete process that you used to determine the correct units and dimensions of h. Please note that the problem is asking for two separate items, units and dimensions are not the same. In this problem, your results will be given in the

The Colburn equation for heat transfer is: where Cp is heat capacity, Btu Ib °F; u is viscosity, Ib h* ft"; k is thermal conductivity, Btu h ft (°F ft)"; D is pipe diameter, ft; and G is mass velocity per unit area, Ib h ft?. h 2/3 (Cpµ \CpG/ 0.023 k DG 0.2 The Colburn equation is dimensionally consistent. What are the units and dimensions of the heat transfer coefficient, h? Please write here the complete process that you used to determine the correct units and dimensions of h. Please note that the problem is asking for two separate items, units and dimensions are not the same. In this problem, your results will be given in the

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter1: Getting Started

Section: Chapter Questions

Problem 2PQ: If you live in the United States, you probably know your height in feet and inches. In other...

See similar textbooks

Similar questions

Units and Standards What is the difference between a base unit and a derived unit? (b) What is the difference between a base quantity and a derived quantity? (c) What is the difference between a base quantity and a base unit?
A fluid ounce is about 30mL. What is the voIume of a 12 fl-oz can of soda pop in cubic meters?
If you live in the United States, you probably know your height in feet and inches. In other countries, metric units are commonly used for measuring such quantities. First, find your height in inches. Then determine your height in a. centimetens and b. meters
(a) If your speedometer has an uncertainty of 2.0 km/h at a speed of 90 km/h, what is the percent uncertainty? (b) If it has the same percent uncertainty when it reads 60 km/h, what is the range of speeds you could be going?
2.26. The Prandtl number, Npr, is a dimensionless group important in heat-transfer calculations. It is defined as Cpulk, where C, is the heat capacity of a fluid, u is the fluid viscosity, and k is the thermal conductivity. For a particular fluid, C, = 0.583 J/(g-°C), k = 0.286 W/(m-°C), and u = 1936 lbm/(ft-h). Estimate the %3D value of Npr without using a calculator (remember, it is dimensionless), showing your calculations; then determine it with a calculator.
The atmospheric pressure P decreases exponentially with elevation h as follows, P(h) = P,e-gh/A ,where Po ([Pa]) is the atmospheric pressure at sea level, g ([m/s²1) is the acceleration due to gravity, and A is some dimensional constant. Determine the SI unit of the constant A and argue your key assumption. %3D B.
A hot tub with a surface area of 28 ft2 is filled with water to a depth of 29 in . Hint: volume is calculated as area × height (A × h). A) What is the volume of water in the tub, in liters? Express your answer to two significant figures and include the appropriate units. B) How many kilojoules are needed to heat the water from 59∘F to 103 ∘F? Express your answer to two significant figures and include the appropriate units. C) If the hot-tub heater provides 5900 kJ/min, how long, in hours, will it take to heat the water in the hot tub from 59∘F to 103∘F? Express your answer to two significant figures and include the appropriate units.
Q1 (70 P). Please look at the Figure 1 equation 101 D OT Th (c) Please find the slope at B, LADI B -2L- L/2- Figure 1
One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in room temperature. Using those numbers, answer the following questions: a) What is the mass of a single gold atom in kg? b) Assume that gold atoms sit in a perfect cubic crystal structure. Estimate the distance between two gold atoms in meters. c) If we have a gold cube of 6 cm on each side, how many atoms can we fit along the edge of each side of the cube? d) What would be the mass, in kilograms, of the gold cube we discussed in part (c) (measuring 6 cm on each side)?
The density (p) of the atmosphere as a function of altitude (A) can be approximated by the model shown in the graph. What are the units of the constant 1.225? O A. dimensionless O B. kg m^3 OC. kg/m^3 O D. m^2/kg p= 1.225 e0.0001 A O E. m OF. kg O G. m^3/kg O H. kg/m^2 Altitude (A) (m] Density (p) [kg/m®]
Please answer 1-3 sub-units.7. A box measures 3.12 ft m length, 0.0455yd in width and 7.87in in height. What is it volume in cubic centimeter?8. A block occupied 0.2587ft3. What is its volume in mm3?9. If you are going 55mph. What is your speed in nm per second?
b) In an equation (P+) (V - b) = RT, where P is the pressure, V is the volume, T is the temperature and a, b, R are constants. What is the dimensional formula of ?