Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN: 9781305387102
Author: Kreith, Frank; Manglik, Raj M.
Publisher: Cengage Learning
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Chapter 3, Problem 3.6P
A 0.6-cm diameter mild steel rod at 38°C is suddenly immersed in a liquid at 93°C with
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Newton's Law of Cooling - Differential Equations
The rate at which a body cools is proportional to the difference in temperature between the body and its surroundings. If a body in air at 0°C will cool from 200°C to 100°C in 40 minutes, how many more minutes will it take the body to cool from 100°C to 50°C?
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I got t=531.96 seconds is that right
Chapter 3 Solutions
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
Ch. 3 - Consider a flat plate or a plane wall with a...Ch. 3 - 3.2 High-strength steel is required for use in...Ch. 3 - Prob. 3.3PCh. 3 - 3.5 In a ball-bearing production facility, steel...Ch. 3 - A 0.6-cm diameter mild steel rod at 38C is...Ch. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - 3.9 The heat transfer coefficients for the flow of...Ch. 3 - 3.10 A spherical shell satellite (3-m-OD,...Ch. 3 - Prob. 3.11P
Ch. 3 - Prob. 3.12PCh. 3 - Prob. 3.13PCh. 3 - 3.14 A thin-wall cylindrical vessel (1 m in...Ch. 3 - A thin-wall jacketed tank heated by condensing...Ch. 3 - 3.16 A large, 2.54-cm.-thick copper plate is...Ch. 3 - 3.17 A 1.4-kg aluminum household iron has a 500-W...Ch. 3 -
3.28 A long wooden rod at with a 2.5-cm-OD is...Ch. 3 - A mild-steel cylindrical billet 25 cm in diameter...Ch. 3 - Prob. 3.37PCh. 3 -
3.38 An egg, which for the purposes of this...
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- During a picnic on a hot summer day, the only available drinks were those at the ambient temperature of 90°F. In an effort to cool a 12-fluid-oz drink in a can, which is 5 in high and has a diameter of 2.5 in, a person grabs the can and starts shaking it in the iced water of the chest at 32°F. The temperature of the drink can be assumed to be uniform at all times, and the heat transfer coefficient between the iced water and the aluminum can is 30 Btu/h·ft2·°F. Using the properties of water for the drink, estimate how long it will take for the canned drink to cool to 40°F.arrow_forwardThree tons of fish is to be stored at a temperature of -10°C for 24hrs. The product enters the chiller at a temperature of 8°C. The specific heat below and above freezing is 0.41 kcal/kg-C and 0.76 kcal/kg-C respectively and its latent heat of fusion is 51 kcal/kg. If the freezing temperature of the product is -2.2 °C, determine the product load in kcal/hr.arrow_forwardTo cool a piece of glass, initially at a temperature of 93°C, it is immersed in an aluminum tray, initially filled (to the brim) with water at 12°C. Assuming that the assembly (tray + water + glass piece) is an isolated system, determine the final temperature of the glass piece. Data:Glass pieceShape: solid parallelepipedDimensions: L = 1.2 m, L = 0.6 m and h = 0.5 mDensity: 2490 kg/m3Constant pressure mass heat: 840 J.kg-1.K-1 Initial temperature: 93°CAluminum trayShape: hollow block without lid External dimensions: L = 2 m, W = 1 m, h = 0.8 m Wall thickness: e = 12 mmDensity: 2800 kg/m3Constant Pressure Mass Heat: 910 J.kg-1.K-1 Initial Temperature: 12°CWaterDensity: 1000 kg/m3Constant pressure mass heat: 4180 J.kg-1.K-1 Initial temperature: 12°Carrow_forward
- 4- Carbon steel balls 8 mm in diameter are annealed by heating them first to 900°C in a furnace and then allowing them to cool slowly to 100°C in ambient air at 35°C. If the average heat transfer coefficient is 75 W/m -°C, determine how long the annealing process will take. If 2500 balls are to be annealed per hour Given: Carbon steel [k = 54 W/m.°C, p = 7833 kg/m, and C,= 0.465 kJ/kg. °C. and a= 1.474x 10* m²/s] Air, 35°C Fumace Steel ball 100°C 900°Carrow_forward6. A cylindrical electric heater of outside diameter D = 2.5 cm and length L= 2 m is immersed horizontally into a pool of mercury at 100°C. If the surface of the heater is maintained at an average temperature of 300°C, calculate the rate of heat transfer to the mercury.arrow_forwardMeasuring the temperature of very cold substances can be challenging. Here is one way of measuring the temperature of liquid nitrogen. A 50g flake of aluminum is submerged in liquid nitrogen and left immersed until it is in thermal equilibrium. The flake is then removed and placed in a well-insulated container with 500ml of water at 30°C. When water and flake attain thermal equilibrium, the temperature of the water is found to be 25°C. What was the temperature of the liquid nitrogen?arrow_forward
- In a certain industrial process, it is known that the temperature of one of its stages varies between 10°C and 50°C. The measuring instrument used to measure this temperature has its measurement range from -50°C to 50°C, with a dead zone of 1%. In view of the above, it is stated that the measuring instrument (A) will not show temperature variations lower than or equal to 0.5 °C. (B) will not show temperature variations lower than or equal to 1 °C. (C) is not suitable for the measurement for which it is used, since it may present distortions in the measurement of the temperature if it is between 49 C and 50 C. (D) measures, although not reliably accurate,temperatures ranging up to 0.5° C beyond its range of nominal measure. (E) measures, although unreliable in accuracy, tem- temperatures ranging up to 1° C beyond their rating range nominal measure.arrow_forwardA spherical pellet (ρ =1000 kg/m3 , c = 1000 J/(kg⋅K)) with a radius ro = 1 cm is cooled from an initial temperature of 200°C by immersion in water bath at 10°C with a convection coefficient h = 100 W/(m2 K). Evaluate the temperature in the center and on the surface of the pellet after 10 s of immersion for two cases: (a) Thermal conductivity of the pellet k = 0.1 W/(m⋅K) (b) Thermal conductivity of the pellet k = 5 W/(m⋅K)arrow_forwardA long cylindrical rod has a 20-cm-diameter at a uniform temperature of 600°C. The rod is then allowed to cool slowly in room at 200°C with a heat transfer coefficient of 80 W/m² °C. Calculate the temperature at the center of the rod 45 min after the start of the cooling process. Also, determine the heat transfer per unit length of the rod during this time period.arrow_forward
- A mass of ice at -4°C is needed to cool 115 kg of vegetables in a bunker for 24 hours. The initial temperature of the vegetables is assumed to be 29°C. It is also assumed that, within the 24-hr period, the average temperature inside the bunker is 7°C. If the heat gained per hour in the bunker is 30% of the heat removed to cool the vegetables from 29°C to 7°C, what would be the required mass of ice in kg? Use: Specific heat of water 4.2292 kJ/kg-°C Specific heat of ice 1.9387 kJ/kg °C Specific heat of vegetables 3.35 kJ/kg-°Carrow_forwardCold salt brine at -2°C is used in a packing plant to chill food slabs from 40°C to 3.4°C in 18 hours. Determine the mass of brine required to cool 100 food slabs of 225 kg each if the final temperature of the brine is 1.7°C.arrow_forwardSolve Question -3arrow_forward
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