Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470917855
Author: Bergman, Theodore L./
Publisher: John Wiley & Sons Inc
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Chapter 4, Problem 4.11P
Determine the heat transfer rate between two particles of diameter
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Chapter 4 Solutions
Fundamentals of Heat and Mass Transfer
Ch. 4 - In the method of separation of variables (Section...Ch. 4 - A two-dimensional rectangular plate is subjected...Ch. 4 - Consider the two-dimensional rectangular plate of...Ch. 4 - A two-dimensional rectangular plate is subjected...Ch. 4 - A two-dimensional rectangular plate is subjected...Ch. 4 - Using the thermal resistance relations developed...Ch. 4 - Free convection heat transfer is sometimes...Ch. 4 - Consider Problem 4.5 for the case where the plate...Ch. 4 - Prob. 4.9PCh. 4 - Based on the dimensionless conduction heat rates...
Ch. 4 - Determine the heat transfer rate between two...Ch. 4 - A two-dimensional object is subjected to...Ch. 4 - An electrical heater 100 mm long and 5 mm in...Ch. 4 - Two parallel pipelines spaced 0.5 m apart are...Ch. 4 - A small water droplet of diameter D=100m and...Ch. 4 - A tube of diameter 50 mm having a surface...Ch. 4 - Pressurized steam at 450K flows through a long,...Ch. 4 - The temperature distribution in laser-irradiated...Ch. 4 - Hot water at 85°C flows through a thin-walled...Ch. 4 - A furnace of cubical shape, with external...Ch. 4 - Laser beams are used to thermally process...Ch. 4 - A double-glazed window consists of two sheets of...Ch. 4 - A pipeline, used for the transport of crude oil,...Ch. 4 - A long power transmission cable is buried at a...Ch. 4 - A small device is used to measure the surface...Ch. 4 - A cubical glass melting furnace has exterior...Ch. 4 - An aluminum heat sink (k=240W/mK), used to cool an...Ch. 4 - Hot water is transported from a cogeneration power...Ch. 4 - A long constantan wire of 1-mm diameter is butt...Ch. 4 - A hole of diameter D=0.25m is drilled through the...Ch. 4 - In Chapter 3 we that, whenever fins are attached...Ch. 4 - An igloo is built in the shape of a hemisphere,...Ch. 4 - Prob. 4.34PCh. 4 - An electronic device, in the form of a disk 20 mm...Ch. 4 - The elemental unit of an air heater consists of a...Ch. 4 - Prob. 4.37PCh. 4 - Prob. 4.38PCh. 4 - Prob. 4.39PCh. 4 - Prob. 4.40PCh. 4 - One of the strengths of numerical methods is their...Ch. 4 - Determine expressionsfor...Ch. 4 - Consider heat transfer in a one-dimensional...Ch. 4 - In a two-dimensional cylindrical configuration,...Ch. 4 - Upper and lower surfaces of a bus bar are...Ch. 4 - Derive the nodal finite-difference equations for...Ch. 4 - Consider the nodal point 0 located on the boundary...Ch. 4 - Prob. 4.48PCh. 4 - Prob. 4.49PCh. 4 - Consider the network for a two-dimensional system...Ch. 4 - An ancient myth describes how a wooden ship was...Ch. 4 - Consider the square channel shown in the sketch...Ch. 4 - A long conducting rod of rectangular cross section...Ch. 4 - A flue passing hot exhaust gases has a square...Ch. 4 - Steady-state temperatures (K) at three nodal...Ch. 4 - Functionally graded materials are intentionally...Ch. 4 - Steady-state temperatures at selected nodal points...Ch. 4 - Consider an aluminum heat sink (k=240W/mK), such...Ch. 4 - Conduction within relatively complex geometries...Ch. 4 - Prob. 4.60PCh. 4 - The steady-state temperatures (°C) associated with...Ch. 4 - A steady-state, finite-difference analysis has...Ch. 4 - Prob. 4.63PCh. 4 - Prob. 4.64PCh. 4 - Consider a two-dimensional. straight triangular...Ch. 4 - A common arrangement for heating a large surface...Ch. 4 - A long, solid cylinder of diameter D=25mm is...Ch. 4 - Consider Problem 4.69. An engineer desires to...Ch. 4 - Prob. 4.71PCh. 4 - Prob. 4.72PCh. 4 - Prob. 4.73PCh. 4 - Refer to the two-dimensional rectangular plate of...Ch. 4 - The shape factor for conduction through the edge...Ch. 4 - Prob. 4.77PCh. 4 - A simplified representation for cooling in very...Ch. 4 - Prob. 4.84PCh. 4 - A long trapezoidal bar is subjected to uniform...Ch. 4 - Consider the system of Problem 4.54. The interior...Ch. 4 - A long furnace. constructed from refractory brick...Ch. 4 - A hot pipe is embedded eccentrically as shown in a...Ch. 4 - A hot liquid flows along a V-groove in a solid...Ch. 4 - Prob. 4S.5PCh. 4 - Hollow prismatic bars fabricated from plain carbon...
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- Calculate the heat transfer between two (50*40 cm) parallel plates at constant temperatures of 71 = 100 K and 72 = 50 K that are L = 1 cm apart, assuming the emissivity (r) is 0.6 according to the following conditions. 1. The parallel plates filled with atmospheric air assume the thermal conductivity at the average temperature of 250 K is k=0.021 Heat direction Air Space * 24140 Heat direction Super-insulation W/m °C for air, Stefan-Boltzmann constant is 5.67*10*W/m².K' 2. The parallel plates are filled with super-insulated material and have an apparent thermal conductivity of 0.00004 W/m - °C.arrow_forwardPlot how hx (heat transfer coefficient) depends on the distance along a plate (x) and explain how this relationship .arrow_forwardA 212-mm-square, 15-mm-thick tile has the thermo-physical properties of Pyrex (ϵ = 0.83) and emerges from a curing process at an initial temperature of Ti = 145°C. The backside of the tile is insulated while the upper surface is exposed to ambient air and surroundings at 25°C. (a) Estimate the time required for the tile to cool to a final, safe-to-touch temperature of Tf = 42°C. Use an average tile surface temperature of T¯=(Ti+Tf)/2 to estimate the average free convection coefficient and the linearized radiation coefficient. How sensitive is your estimate to the assumed value for T¯? (b) Estimate the required cooling time if ambient air is blown in parallel flow over the tile with a velocity of 10 m/sarrow_forward
- If a 20 cm long and 0.4 mm diameter platinum wire is placed horizontally in a water container with a temperature of 35°C and the surface temperature is 90°C, calculate the heat lost by the wire.arrow_forwardA 10cm ball made of tungsten is to be heated from 100C to an average temperature of 150C in 30 minutes. Determine: (a) the total amount of heat that needs to be transferred to the ball; (b) the average rate of heat transfer to the ball; (c) the average heat flux S中钨在线 chinatungsten.com Blank Balls Polished Balls Punching Balls Bearing Balls Valve Balls Non-magnetic Balls (在arrow_forwardTo ensure effective heat transfer from the food inside a freezer, the 2-mm thick layer of frost that formed at its inside surface must be melted. If the compartment is in ambient air at 20°C and a coefficient of h = 2- W characterizes heat transfer by natural convection from the exposed surface of m2-K the layer, how long will it take for the entire layer of frost to melt in seconds if it is initially at 0°C? The frost has a density of 700 and a latent heat of fusion of 334 m3 kJ kg'arrow_forward
- Water at 25°C flows over a 30mm diameter cylinder with an embedded electrical heater. The cylinder is 1m in length with a surface temperature of 90°C. If the supplied power is 28 kW/m, what is the convection coefficient?arrow_forward0.5m x 2.5 m double-pane window consists of two 4.5-mm-thick layers of glass (0.75= [d] W/m·K) that are separated by a 2.5 mm air gap (0.025= [f] W/m·K). The heat flow through the air gap is assumed to be by conduction. The inside and outside air temperatures are 20 and - 1°C, respectively, and the inside and outside heat transfer coefficients are 32 and 12 W/m2·K. 3.1) Determine the daily rate of heat loss through the window in steady 1°Coperation. (15)3.3) Calculate the temperature difference across the largest thermal resistance.arrow_forwardThis food product is produced in the form of small spheres or pellets by freezing it in the water freezer. Blast freezer air freezers operate at a temperature of -35 degrees Celsius The initial product temperature is 25 degrees Celsius.The pellets have a diameter of 0.5 cm and a density of 980 kg / m³ temperature initial freezing is -2.5 degrees Celsius latent heat of product manufacture is 280 kj / kg the thermal conductivity of frozen products is 1.9 W / (m degrees Celsius). Convection heat transfer coefficient is 50 W / (m² degrees Celsius) calculated freezing time. tf =arrow_forward
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