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 9, Problem 9.67P
To determine
The expression for the convection coefficient as a function of
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A plate (0.5 m * 0.5 m) is inclined at an angle of 30°. The top surface of the plate is well insulated. Estimate the rate of heat loss from the plate when the bottom surface is maintained at 60°C and the surrounding atmospheric quiescent air is at 0°C.
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Chapter 9 Solutions
Fundamentals of Heat and Mass Transfer
Ch. 9 - The one-dimensional plane wall of Figure 3.1 is of...Ch. 9 - Using the values of density for water in Table...Ch. 9 - Consider an object of Characteristic length 0.01 m...Ch. 9 - To assess the efficacy of different liquids for...Ch. 9 - In many cases, we are concerned with free...Ch. 9 - The heat transfer rate due to free convection from...Ch. 9 - Consider a large vertical plate with a uniform...Ch. 9 - For laminar free convection flow on a vertical...Ch. 9 - Consider an array of vertical rectangular tins,...Ch. 9 - A number of thin plates are to be cooled by...
Ch. 9 - Prob. 9.11PCh. 9 - Prob. 9.13PCh. 9 - The plate described in Problem 9.14 has been used...Ch. 9 - Determine the average convection heat transfer...Ch. 9 - Consider a vertical plate of dimension 0.025m0.50m...Ch. 9 - During a winter day, the window of a patio door...Ch. 9 - Prob. 9.20PCh. 9 - A household oven door of 0.5-m height and 0.7-m...Ch. 9 - Consider a vertical, single-pane window of...Ch. 9 - Consider laminar flow about a vertical isothermal...Ch. 9 - Consider the conveyor system described in Problem...Ch. 9 - Prob. 9.25PCh. 9 - Consider an experiment to investigate the...Ch. 9 - The vertical rear window of an automobile is of...Ch. 9 - Prob. 9.28PCh. 9 - Prob. 9.29PCh. 9 - Prob. 9.30PCh. 9 - A refrigerator door has a height and width of...Ch. 9 - In the central receiver concept of a solar power...Ch. 9 - Prob. 9.34PCh. 9 - Airflow through a long, 0.2-m-square air...Ch. 9 - Prob. 9.36PCh. 9 - An electrical heater in the form of a horizontal...Ch. 9 - Consider a horizontal 6-mm-thick, 100-mm-long...Ch. 9 - Prob. 9.39PCh. 9 - Prob. 9.40PCh. 9 - Prob. 9.41PCh. 9 - Many laptop computers are equipped with thermal...Ch. 9 - Prob. 9.43PCh. 9 - At the end of its manufacturing process, a silicon...Ch. 9 - Integrated circuit (IC) boards are stacked within...Ch. 9 - Prob. 9.48PCh. 9 - Prob. 9.50PCh. 9 - Prob. 9.51PCh. 9 - Prob. 9.52PCh. 9 - Prob. 9.53PCh. 9 - Prob. 9.54PCh. 9 - Prob. 9.55PCh. 9 - Prob. 9.56PCh. 9 - Prob. 9.57PCh. 9 - A horizontal tube of 12.5-mm diameter with an...Ch. 9 - Prob. 9.60PCh. 9 - Prob. 9.61PCh. 9 - Prob. 9.63PCh. 9 - Prob. 9.64PCh. 9 - Common practice in chemical processing plants is...Ch. 9 - Consider the electrical heater of Problem 7.49. If...Ch. 9 - Prob. 9.67PCh. 9 - A billet of stainless steel, AISI 316, with a...Ch. 9 - Lone stainless steel rods of 50-mm diameter are...Ch. 9 - Hot air flows from a furnace through a...Ch. 9 - A biological fluid moves at a flow rate of...Ch. 9 - A sphere of 25-mm diameter contains an embedded...Ch. 9 - Prob. 9.79PCh. 9 - A vertical array of circuit boards is immersed in...Ch. 9 - Prob. 9.81PCh. 9 - The front door of a dishwasher of width 580 mm has...Ch. 9 - A natural convection air healer consists of an...Ch. 9 - A bank of drying ovens is mounted on a rack in a...Ch. 9 - Prob. 9.85PCh. 9 - Prob. 9.86PCh. 9 - Prob. 9.87PCh. 9 - To reduce heat losses, a horizontal rectangular...Ch. 9 - Prob. 9.89PCh. 9 - Prob. 9.90PCh. 9 - Prob. 9.91PCh. 9 - Prob. 9.92PCh. 9 - A 50-mm-thick air gap separates two horizontal...Ch. 9 - Prob. 9.94PCh. 9 - A vertical, double-pane window, which is 1 m on a...Ch. 9 - The top surface (0.5m0.5m) of an oven is 60°C for...Ch. 9 - Prob. 9.97PCh. 9 - Prob. 9.98PCh. 9 - Consider the cylindrical. 0.12-m-diamter radiation...Ch. 9 - Prob. 9.100PCh. 9 - A solar collector design consists of an inner tube...Ch. 9 - Prob. 9.104PCh. 9 - Prob. 9.105PCh. 9 - Liquid nitrogen is stored in a thin-walled...Ch. 9 - Prob. 9.108PCh. 9 - Prob. 9.109PCh. 9 - Prob. 9.110PCh. 9 - Prob. 9.111PCh. 9 - Prob. 9.114PCh. 9 - Prob. 9.115PCh. 9 - Prob. 9.116PCh. 9 - Prob. 9.117PCh. 9 - A water bath is used to maintain canisters...Ch. 9 - On a very Still morning, the surface temperature...Ch. 9 - Fuel cells similar to the PEM cell of Example 1.5...
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- Thermal energy generated by the electrical resistance of a 5-mm-diameter and 4-m-long bare cable is dissipated to the surrounding air at 80°C. The voltage drop and the electric current across the cable in steady operation are measured to be 20.0 V and 4.5 A, respectively. Disregarding radiation, estimate the surface temperature of the cable. Evaluate air properties at a film temperature of 100°C and 1 atm pressure.arrow_forwardFUNDAMENTALS OF CONVECTION Consider a flat plate positioned inside a wind tunnel, and air at 1 atm and 20°C is flowing with a free stream velocity of 60 m/s. What is the minimum length of the plate necessary for the Reynolds number to reach 2x107? If the critical Reynolds number is 5x105, what type of flow regime would the airflow experience at 0.2 m from the leading edge? Please, I need the solution from fundamental concepts of how the heat flow behaves in the system. That it be answered with theory of the subjectarrow_forwardA thin plate with a length of 0.5m is cooled by vertical suspension in a very large box filled with quiescent carbon monoxide at a temperature of 44°C. If the plate surface temperature is 80°C, please answer the following: 1. What is the thickness of the free convection boundary layer at the upper edge of the plate? 2. What is the velocity in the x-direction at half the plate length? 3. Calculate the average Nusselt number for the plate. Justify your choice of correlationarrow_forward
- A school classroom is 16.7m long, 10m wide and 3 .5m high. There is a 4m x 6m window in the east wall. Only the east wall/window is exterior. Assume the thermal conditions in adjacent spaces (west, south, north, above and below) are the same as those of the classroom. Determine the cooling load at2:00 pm, 21 July as maximum Other known conditions include: Latitude = 36o N Ground reflectance = 0.2 Clear sky with a clearness number = 1.0 Overall window heat transmission coefficient = 7.0 W/m2.K Room dry-bulb temperature = 25°C Permissible temperature exceeded = 2.5% Schedule of occupancy: 7people enter at 10:00am and stay for 12 hours Lighting schedule: 300 W on at 10:00AM for 12hours Exterior wall structure: • Outside surface, A0 • Face brick (100 mm), A2 • Insulation (50 mm), B3 • Concrete block (100 mm), C3 • Exterior window: •double glazing window • No exterior shading, SC = 1.0arrow_forward1.13 If the outer air temperature in Problem is –2°C, calculate the convection heat transfer coefficient between the outer surface of the window and the air, assuming radiation is negligible.arrow_forwardAir at 40C flows over a long, 25-mm-diameter cylinder with an embedded electric heater. In a series of tests, measurements were made of the power per unit length, P’, required to maintain the cylinder surface temperature at 300C for different free stream velocities V of the air. The results are as follows: Determine the convection coefficient in W/(m2K) for each velocity.arrow_forward
- A school classroom is 6 m long, 6 m wide and 3 m high. There is a 2.5 m x 4 m window in the east wall. Only the east wall/window is exterior. Assume the thermal conditions in adjacent spaces (west, south, north, above and below) are the same as those of the classroom. Determine the cooling load at 9:00 am, 12:00 noon on July 21. Other known conditions include: Latitude = 40o N Ground reflectance = 0.2 Clear sky with a clearness number = 1.0 Overall window heat transmission coefficient = 7.0 W/m2.K Room dry-bulb temperature = 25.5°C Permissible temperature exceeded = 2.5% Schedule of occupancy: 20 people enter at 8:00 am and stay for 8 hours Lighting schedule: 300 W on at 8:00 AM for 8 hours Exterior wall structure: • Outside surface, A0 • Face brick (100 mm), A2 • Insulation (50 mm), B3 • Concrete block (100 mm), C3 • Inside surface, E0 Exterior window: • Single glazing, 3 mm • No exterior shading, SC = 1.0arrow_forwardA geodesic dome constructed with an aluminum frameworkis a nearly perfect hemisphere; its diameter measures 55.0 m on a winterday at a temperature of -15°C. How much more interior space does thedome have in the summer, when the temperature is 35°C?arrow_forward
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