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 6, Problem 6.56P
Species A is evaporating from a flat surface into species B. Assume that the concentration profile for species A in the concentration boundary layer is of the form
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Chapter 6 Solutions
Fundamentals of Heat and Mass Transfer
Ch. 6 - The temperature distribution within a laminar...Ch. 6 - In flow over a surface, velocity and temperature...Ch. 6 - In a particular application involving airflow over...Ch. 6 - Water at a temperature of T=25C flows over one of...Ch. 6 - For laminar flow over a flat plate, the local heat...Ch. 6 - A flat plate is of planar dimension 1m0.75m. For...Ch. 6 - Parallel flow of atmospheric air over a flat plate...Ch. 6 - For laminar free convection from a heated vertical...Ch. 6 - A circular. hot gas jet at T is directed normal to...Ch. 6 - Experiments have been conducted to determine local...
Ch. 6 - A concentrating solar collector consists of a...Ch. 6 - Air at a free stream temperature of T=20C is in...Ch. 6 - The heat transfer rate per unit width (normal to...Ch. 6 - Experiments to determine the local convection heat...Ch. 6 - An experimental procedure for validating results...Ch. 6 - If laminar flow is induced at the surface of a...Ch. 6 - Consider the rotating disk of Problem 6.16. A...Ch. 6 - Consider airflow over a flat plate of length L=1m...Ch. 6 - A fan that can provide air speeds up to 50 m/s is...Ch. 6 - Consider the flow conditions of Example 6.4 for...Ch. 6 - Assuming a transition Reynolds number of 5105,...Ch. 6 - To a good approximation, the dynamic viscosity the...Ch. 6 - Prob. 6.23PCh. 6 - Consider a laminar boundary layer developing over...Ch. 6 - Consider a laminar boundary layer developing over...Ch. 6 - Experiments have shown that the transition from...Ch. 6 - An object of irregular shape has a characteristic...Ch. 6 - Experiments have shown that, for airflow at T=35C...Ch. 6 - Experimental measurements of the convection heat...Ch. 6 - To assess the efficacy of different liquids for...Ch. 6 - Gases are often used instead of liquids to cool...Ch. 6 - Experimental results for heat transfer over a flat...Ch. 6 - Consider conditions for which a fluid with a free...Ch. 6 - Consider the nanofluid of Example 2.2. Calculate...Ch. 6 - For flow over a flat plate of length L, the local...Ch. 6 - For laminar boundary layer flow over a flat plate...Ch. 6 - Sketch the variation of the velocity and thermal...Ch. 6 - Consider parallel flow over a flat plate for air...Ch. 6 - Forced air at T=25C and V=10m/s is used to cool...Ch. 6 - Consider the electronic elements that are cooled...Ch. 6 - Consider the chip on the circuit board of Problem...Ch. 6 - A major contributor to product defects in...Ch. 6 - A microscale detector monitors a steady flow...Ch. 6 - A thin, flat plate that is 0.2m0.2m on a side is...Ch. 6 - Atmospheric air is in parallel flow...Ch. 6 - Determine the drag force imparted to the top...Ch. 6 - For flow over a flat plate with an extremely rough...Ch. 6 - A thin, flat plate that is 0.2m0.2m on a side with...Ch. 6 - As a means of preventing ice formation on the...Ch. 6 - A circuit board with a dense distribution of...Ch. 6 - On a summer day the air temperature is 27C and the...Ch. 6 - It is observed that a 230-mm-diameter pan of water...Ch. 6 - The rate at which water is lost because of...Ch. 6 - Photosynthesis, as it occurs in the leaves of a...Ch. 6 - Species A is evaporating from a flat surface into...Ch. 6 - Prob. 6.57PCh. 6 - Prob. 6.58PCh. 6 - An object of irregular shape has a characteristic...Ch. 6 - Prob. 6.60PCh. 6 - An object of irregular shape 1 m long maintained...Ch. 6 - Prob. 6.62PCh. 6 - Prob. 6.63PCh. 6 - Prob. 6.64PCh. 6 - Prob. 6.65PCh. 6 - A streamlined strut supporting a bearing housing...Ch. 6 - Prob. 6.67PCh. 6 - Consider the conditions of Problem 6.7, for which...Ch. 6 - Using the naphthalene sublimation technique. the...Ch. 6 - Prob. 6.70PCh. 6 - Prob. 6.71PCh. 6 - Prob. 6.72PCh. 6 - Dry air at 32C flows over a wetted (water) plate...Ch. 6 - Dry air at 32C flows over a wetted plate of length...Ch. 6 - Prob. 6.75PCh. 6 - Prob. 6.76PCh. 6 - Prob. 6.77PCh. 6 - An expression for the actual water vapor partial...Ch. 6 - A mist cooler is used to provide relief for a...Ch. 6 - A wet-bulb thermometer consists of a...Ch. 6 - Prob. 6.81PCh. 6 - Prob. 6.83PCh. 6 - An experiment is conducted to determine the...Ch. 6 - Prob. 6.85PCh. 6 - Consider the control volume shown for the special...Ch. 6 - Prob. 6S.2PCh. 6 - Prob. 6S.3PCh. 6 - Consider two large (infinite) parallel plates, 5...Ch. 6 - Prob. 6S.5PCh. 6 - Consider Couette flow for which the moving plate...Ch. 6 - A shaft with a diameter of 100 mm rotates at 9000...Ch. 6 - Consider the problem of steady, incompressible...Ch. 6 - Prob. 6S.11PCh. 6 - A simple scheme for desalination involves...Ch. 6 - Consider the conservation equations (6S.24) and...
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- Reconsider Prob. 14–22. Using EES (or other) software, plot the diffusion coefficient as a function of the temperature in the range of 200 K to 1200 K. Problem. 14–22 The diffusion coefficient of hydrogen in steel is given as a function of temperature as DAB = 1.65 × 10-6 exp(–4630/T) (m2 /s) where T is in K. Determine the diffusion coefficients at 200 K, 500 K, 1000 K, and 1500 K.arrow_forwardIn a paint manufacturing process, two different colored paints are being mixed in an infinitelylarge drum.Paint A, with a concentration of 30% pigment, is pumped into the drum at a rate of 10 liters perminute.Paint B, with a concentration of 17% pigment, is pumped into the drum at a rate of 17 liters perminute.Both paints have the same density of 1.0 kg/liter.If the mixture is continuously stirrred and drained from the drum at a rate of 22 liters perminute, what is the concentration of pigment in the resulting mixture as a percentage?arrow_forwardGaseous hydrogen weakens the mechanical strength of cast iron. this phenomenon often occurs in cast iron pressure vessels containing 100% gas hydrogen. H2 gas dissolves in metallic iron and diffuses into solid non-porous iron by an interstitial diffusion mechanism. H2 gas does not need to penetrate far into the iron to have a negative effect on the mechanical strength of iron. In the present situation, 100% of H2 gas at 1.0 atm and 100°C is contained within a 1.0 m internal diameter and wall thickness of 2.0 cm. The solubility of hydrogen in iron in 100°C is 2.2x10-7 mol of H/g Fe atoms. The diffusion coefficient of atoms of hydrogen in solid iron is 124.0x10-9 cm2 /sec at 100°C. Initially, there are no H atoms in solid iron. How many hours will it take for the hydrogen level inside the iron metal reaches 1.76x10-7 mol H atoms/g Fe at a depth of 0.1 cm from the surface exposed to hydrogen gas?arrow_forward
- Calculate the mass of 600 mL of carbon dioxide collected over water at 25 deg C and 730 mmHg.arrow_forwardThe diffusion coefficients for iron in nickel are given at two temperatures: T (K) D (m2/s) 1273 9.4 × 10–16 1473 2.4 × 10–14 R is the ideal gas constant, 8.314 J/mol K. T is the absolute temperature in ____degrees K. _____ Determine the values of D0 and_____ the activation energy Qd. What is the magnitude of D at 1100ºC (1373 K)?arrow_forwardThe composition of a mixture of gases 60% carbon dioxide, 20%oxygen and 20% Helium by volume. What is the apparent molecular weight of this mixture?arrow_forward
- Compressed gases and phase-changing liquids are used to store energy in rigid containers. What are the advantages and disadvantages of each substance as a means of storing energy?arrow_forward[Decarburization] An FCC iron-carbon alloy initially containing carbon with the concentration, C0, is exposed to anoxygen-rich and virtually carbon-free atmosphere. Under the given conditions, the carbon diffuses from the alloy andreacts at the surface with the oxygen in the atmosphere, meaning that the carbon concentration at the surface position is maintained essentially at 0 wt% C. The subproblems are independent.(1) Determine the diffusion coefficient at the temperature T given below. Use T = 1250 °C(2) When the value of D is given below, what position will the carbon concentration be Cx after a treatment for thetime, t? Use D = 1.93 × 10−10m2 /s; C0 = 0.35 wt%; Cx = 0.11 wt%; t = 12 hrarrow_forward6. A sheet of steel 1.5 mm thick has nitrogen atmospheres on both sides at 1200C and is permitted to achieve a steady-state diffusion condition. The diffusion coefficient for nitrogen in steel at this temperature is 6 10-11 m2/s, and the diffusion flux is found to be 1.2 10-7 kg/m2-s. Also, it is known that the concentration of nitrogen in the steel at the high-pressure surface is 4 kg/m3. How far into the sheet from this high-pressure side will the concentration be 2.0 kg/m3? Assume a linear concentration profile.arrow_forward
- The diffusion coefficient of Ni in Cu at 1025 C is 10-9 cm2 s-1. How long does it take for the mean square root of the distance to be 1 cm?arrow_forwardCalculate the partial pressure of oxygen in the air at 100 kPa if nitrogen has a partial pressure of 82 kPa and carbon dioxide and water combined have a partial pressure of 0.77 kPa.arrow_forwardIf the air temperature at 18:00h is 8 C, and the air adjacent to the surface has a relative humidity of 70%, at what time will condensation occur if the evening cooling rate is 1 C/hour? Will the condensation be in the form of dew or frost?arrow_forward
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