Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470501979
Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine
Publisher: Wiley, John & Sons, Incorporated
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Chapter 10, Problem 10.22P
To determine
The proof that dimension analysis on Kutateladze postulate yields the following expression for critical heat flux
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A core was mounted in a gas permeameter to measure permeability. Determine the liquid permeability (mD) of the core using gas (in oilfield units).
The laboratory data are as follows:
Diameter of the core = 3.78 cm -----> (ft)
Length of the core = 7.63 cm ---------> (ft)
Gas viscosity = 0.0148 cP
Flow rate = 9.07 cm3/s -----------------> (bbl/day)
P1 = 1.439 atm ----------------------------> (psi)
P2 = 1.086 atm ---------------------------> (psi)
Required information
Problem 01.039 -Viscosity Analysis
The dynamic viscosity of air at 20°C is μ≈ 1.80E-5 Pa·s. Estimate the viscosity of air at various temperatures by the below
mentioned methods.
Problem 01.039.c - Viscosity Analysis (Corresponding States Law)
Determine the viscosity of air at 500°C by the Law of Corresponding States.
E-5 kg/(m.s)
Pravinbhai
Chapter 10 Solutions
Fundamentals of Heat and Mass Transfer
Ch. 10 - Show that, for water at 1-atm pressure with...Ch. 10 - The surface of a horizontal. 7-mm-diameter...Ch. 10 - The role of surface tension in bubble formation...Ch. 10 - Estimate the heat transfer coefficient, h,...Ch. 10 - Prob. 10.5PCh. 10 - Prob. 10.6PCh. 10 - Prob. 10.7PCh. 10 - Prob. 10.8PCh. 10 - Calculate the critical heat flux on a large...Ch. 10 - Prob. 10.11P
Ch. 10 - Prob. 10.12PCh. 10 - Prob. 10.13PCh. 10 - Prob. 10.15PCh. 10 - Prob. 10.16PCh. 10 - Consider a gas-fired boiler in which five coiled,...Ch. 10 - Prob. 10.18PCh. 10 - Prob. 10.19PCh. 10 - Prob. 10.20PCh. 10 - Prob. 10.22PCh. 10 - Prob. 10.24PCh. 10 - Prob. 10.25PCh. 10 - A small copper sphere, initially at a uniform,...Ch. 10 - Prob. 10.28PCh. 10 - A disk-shaped turbine rotor is heat-treated by...Ch. 10 - A steel bar, 20 mm in diameter and 200 mm long,...Ch. 10 - Electrical current passes through a horizontal....Ch. 10 - Consider a horizontal. D=1 -mm-diameter platinum...Ch. 10 - Prob. 10.34PCh. 10 - Prob. 10.35PCh. 10 - Prob. 10.36PCh. 10 - Prob. 10.37PCh. 10 - A polished copper sphere of 10-mm diameter,...Ch. 10 - Prob. 10.39PCh. 10 - Prob. 10.40PCh. 10 - Consider refrigerant R-134a flowing in a smooth,...Ch. 10 - Determine the tube diameter associated with p=1...Ch. 10 - Saturated steam at 0.1 bar condenses with a...Ch. 10 - Prob. 10.45PCh. 10 - Prob. 10.46PCh. 10 - Prob. 10.47PCh. 10 - Prob. 10.48PCh. 10 - Prob. 10.50PCh. 10 - Prob. 10.53PCh. 10 - The condenser of a steam power plant consists of...Ch. 10 - Prob. 10.56PCh. 10 - Prob. 10.61PCh. 10 - Prob. 10.62PCh. 10 - A technique for cooling a multichip module...Ch. 10 - Determine the rate of condensation on a 100-mm...Ch. 10 - Prob. 10.66PCh. 10 - Prob. 10.67PCh. 10 - Prob. 10.70PCh. 10 - Prob. 10.71PCh. 10 - Prob. 10.74PCh. 10 - Prob. 10.75PCh. 10 - A thin-walled cylindrical container of diameter D...
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- The following figure shows a “wetted-wall” column, in which a thin film of a reacting liquidof viscosity μ flows steadily down a plane wall, possibly for a gas-absorption study. The volumetricflow rate of liquid is specified as Q per unit width of the wall (normal to the plane of the diagram).Assume that there is only one non-zero velocity component, vx , which does not vary in the x directionand that the gas exerts negligible shear stress on the liquid film.(a) Simplify the continuity equation and show that vx = vx(y), i.e., it is a function of y only.(b) Simplify the momentum balance equation in the y-direction and show that dP/dy=0 i.e.,there is no variation of pressure horizontally across the film. Since atmyP =Patm everywhere in the film is equal to Patm. This also means that dP/dx=0(c) Simplify the momentum balance equation in the x-direction and show that it equals the equation c in the image.(d) Solve the above equation with appropriate boundary conditions and show that it…arrow_forwardA study of the physical characteristic of honey was conducted due to thelarge demand of royal jelly. A capillary tube viscometer was used by aresearcher in determining the viscosity of the honey. The viscometer is250 mm long with an outside diameter of 55mm and effective thickness of2.5mm and was used horizontally so that the effect of gravity wasneglected. At an ambient temperature of 30oC the following data werecollected: ΔP (Pa) Q (cc/s)10.0 1.2512.5 1.5515 1.8017.5 2.0520.0 2.55 What will be the stress produced per unit length in the tube used in theproduction of royal jelly if it has a radius of 5mm and a flow of 1 capsuleper second. (1 capsule = 0.85 cc of royal jelly).arrow_forwardPredict the dimensionless groups relating heat transfer coefficient h to the other variables. Choose k, u, and g to be the recurring variables (common to several the dimensionless groups), and the rest occur only once in each dimensionless group. Arrange the variables in the order given in the table when assigning exponents.arrow_forward
- A laboratory capillary pressure test was conducted on a core sample taken from the Nameless Field. The core has a porosity and permeability of 16% and 80 md, respectively. The capillary pressure-saturation data are given as follows: Sw Per psi 1.0 0.50 0.8 0.60 0.6 0.75 0.4 1.05 0.2 1.75 The interfacial tension is measured at 50 dynes/cm. Further reservoir engineering analysis indicated that the reservoir is better described at a porosity value of 19% and an absolute permeability of 120 md. Generate the capillary pressure data for the reservoir. Sw Pc,old Pc,new 1 0.5 0.15 0.8 0.6 0.17 0.6 0.75 0.22 0.4 1.05 0.31 0.2 1.75 0.51arrow_forwardPlease show me the full solution so that I will understand it, I'm having a tough time with this question. Thank you very much.arrow_forwardRequired information Problem 01.039 -Viscosity Analysis The dynamic viscosity of air at 20°C is μ= 1.80E-5 Pa·s. Estimate the viscosity of air at various temperatures by the below mentioned methods. Problem 01.039.b - Viscosity Analysis (Sutherland Law) Determine the viscosity of air at 500°C by the Sutherland law. E-5 kg/(m.s)arrow_forward
- Liquid nitrogen has a density of 0.808 g/mL and boils at 77 K. Researchers often purchase liquid nitrogen in insulated 175-L tanks. The liquid vaporizes quickly to gaseous nitrogen (which has a density of 1.15 g/L at room temperature and atmospheric pressure) when the liquid is removed from the tank. Suppose that all 175 L of liquid nitrogen in a tank accidentally vaporized in a lab that measured 10.00m x 10.00m x 2.50m. What maximum fraction of the air in the room could be displaced by the gaseous nitrogen?arrow_forwardA study of the physical characteristic of honey was conducted due to the large demand of royal jelly. A capillary tube viscometer was used by a researcher in determining the viscosity of the honey. The viscometer is 250 mm long with an outside diameter of 55mm and effective thickness of 2.5mm and was used horizontally so that the effect of gravity was neglected. At an ambient temperature of 300C the following data were collected: \ΔΡ (Pa) Q (cc/s) 10.0 1.25 12.5 1.55 15 1.80 17.5 2.05 20.0 2.55 What will be the stress produced per unit length in the tube used in the production of royal jelly if it has a radius of 5mm and a flow of 1 capsule per second. (1 capsule = 0.85 cc of royal jelly).arrow_forwardIs the pi group 4 already an acceptable form or answer or do you always have to modify it into the Reynold's number?arrow_forward
- The variation of fluid pressure with height is described by the differential equation: dp/dz = - density *g Here, p is specific density and g is the local acceleration of gravity. For an ideal gas, p = M PIRT, where M is molar mass and R is the universal gas constant. Modeling the atmosphere as an isothermal column of ideal gas at 283.15 K (lO°C), estimate the ambient pressure in Denver, where z = l(mi1e) relative to sea level. For air, take M = 29 g molP1; values of R are given in App. A.arrow_forwardViscosity of fluid plays a significant role in the analyses of many fluid dynamics problems. The viscosity of water can be determined from the correlation: H = c, where µ = viscosity (N/s · m²) T = temperature (K) C, = 2.414 × 10-5 C; = 247.8 (K) Cz = 140 (K) What is the appropriate unit for c, if the preceding equation is to be homogeneous in units?arrow_forwardA certain gas at temperature equivalent to 24 degrees Celsius at 8 cu.m and 200 kPa is compressed to 3 cu.m, what is the resulting pressure assuming isothermal conditions in kPa abs? O 457.14 O 360.00 O 640.00 O 533.33arrow_forward
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