Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470917855
Author: Bergman, Theodore L./
Publisher: John Wiley & Sons Inc
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Chapter 6, Problem 6.62P
(a)
To determine
The rate of evaporation from a surface of
(b)
To determine
The steady state temperature of the liquid film.
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Relationship between fluid flow and convection heat transfer
Mass flow rate of hot fluid is 0.007 kg/s. Convection heat transfer coefficient of hot fluid stream is 1000
W/m?.°C. Thermophysical properties are given as follows.
Hot fluid; c, = 5000 J/kg.°C
Water; dynamic viscosity, µ = 0.001 Pa.s; Prandti number, Pr = 6.14; thermal conductivity, k = 0.607 W/m.°C;
density, p = 1000 kg/m³; specific heat c, = 4200 J/kg.°C.
Neglecting conduction resistance of the pipe, calculate heat exchanger effectiveness (ɛ), heat transfer rate (Q
in J/s), outlet temperatures of the hot fluid (Thout) and water (Tw.out) for varying mass flow rate values of water
provided below.
Mass flow rate of water, m (kg/s)
0.0025
0.01
0.025
0.05
0.075
0.1
Plot heat exchanger effectiveness (ɛ), heat transfer rate (Q in J/s), outlet temperatures of the hot fluid (Thout)
and water (Tw.out) as a function of water mass flow rate (m .).
Comment on the results.
Hot
fluid in (65 °C)
Water
Water
in (25 °C)
out
d = 0.5 cm
Hot fluid out
L= 5 m
Mass flow rate of hot fluid is 0.007 kg/s. Convection heat transfer coefficient of hot fluid stream is 1000
W/m? °C. Thermophysical properties are given as follows.
Hot fluid; c, = 5000 J/kg.°C
Water; dynamic viscosity, u = 0.001 Pa.s; Prandtl number, Pr = 6.14; thermal conductivity, k = 0.607 W/m.°C;
density, p = 1000 kg/m2; specific heat c, = 4200 J/kg.°C.
Neglecting conduction resistance of the pipe, calculate heat exchanger effectiveness (ɛ), heat transfer rate (Q
in J/s), outlet temperatures of the hot fluid (Th,out) and water (Tw.out) for varying mass flow rate values of water
provided below.
Mass flow rate of water, m (kg/s)
0.0025
0.01
0.025
0.05
0.075
0.1
Plot heat exchanger effectiveness (:), heat transfer rate (Q in J/s), outlet temperatures of the hot fluid (Thout)
and water (Tw.out) as a function of water mass flow rate (m).
Comment on the results.
Hot
fluid in (65 °C)
Water
Water
in (25 °C)
out
d = 0.5 cm
Hot fluid out
L = 5 m
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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