A body having a cylindrical shape of length equals to 1.9 m and diameter equals to 400 mm is inside a room where the ambient temperature is equal to 300 K. The initial temperature of the body is equal to 350 K. If the heat convective coefficient is equal to 1.3 W/m^2.K. What condition should the thermal conductivity k verify in order to apply the lumped capacitance method.

A body having a cylindrical shape of length equals to 1.9 m and diameter equals to 400 mm is inside a room where the ambient temperature is equal to 300 K. The initial temperature of the body is equal to 350 K. If the heat convective coefficient is equal to 1.3 W/m^2.K. What condition should the thermal conductivity k verify in order to apply the lumped capacitance method.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.22P

See similar textbooks

Similar questions

A cylindrical body having 10 cm diameter and lenth of 30 cm passes through a heat treatment furnace which is 6 m in length. The body must reach a temperature of 800°C before it comes out of the furnace. The furnace gas is at 1250°C and body initial temperature is 90°C. How much time it will take to attain the required temperature ? Take h = 100 W/m² °C. Take K(steel) = 40 W/m°C and a (thermal diffusivity of steel) = 1.16 x 10-5 m²/s.
A food product with 73% moisture content in a 5 cm diameter can wants to be frozen. The density of the product is 970 kg / m³, the thermal conductivity is 1.2 W / (m K), and the initial freezing temperature is -2 ° C. After 12 hours in the freezing medium -30 ° C, the product temperature becomes -10 ° C. Estimate the convection heat transfer coefficient of the freezing medium. Assume the can as an infinite cylinder. h = AnswerW / (m² K).
Water at 5°C is being used to cool apples from an initial temperature of 25° to 10°C. Thewater flow over the surface of the apple creates a convective heat-transfer coefficientof 15 W/(m2-K). Assume the apple can be described as a sphere with a 10 cm diameterand the geometric center is to be reduced to 10°C. The apple properties include thermalconductivity of 0.45 W/(m-K), specific heat of 3.950 kJ/(kg-K), and density of 940 kg/m3.a. Determine the time that the apples must be exposed to the water.b. If the apple is submerged only for 2 hours, what will be its center temperature?
3. A food product with 80% moisture content in a 7 cm diameter can wants to be frozen. The density of the product is 1000 kg / m³, the thermal conductivity is 1.0 W / (m K), and the initial freezing temperature is -2 ° C. After 11 hours in the freezing medium -30 ° C, the product temperature becomes -10 ° C. Estimate the convection heat transfer coefficient of the freezing medium. Assume the can as an infinite cylinder. h = Answer W / (m² K).
Find the minimum amount of diameter for the insulation of a spherical water tank? Radius of the tank is 10 m, thermal conductivity is 25 W/(m^2*K) and convective coefficient is 5 W/(m*K) 8 m not sufficient information 10 m 20 m 15 m
A water tank is completely filled with liquid water at 20ºC. The tank material is such that it can withstand tension caused by a volume expansion of 0.75 percent. Determine the maximum temperature rise allowed without jeopardizing safety. For simplicity, assume the volume expansion coefficient β at 313 K to be 0.377 × 10–3 K–1. The maximum temperature rise allowed in the tank is ______ ºC.
Oil is flowing through a 45 mm inside diameter iron pipe (k=16 W/mK) at 1.2 m/s. The thickness of pipe is 8 mm. It is being heated by steam outside the pipe, and the steam-film coefficient may be taken as 12 kW/m2 oC. At a particular point along the pipe the oil is at 40 oC, its density is 880 kg/m3, its viscosity is 2.1 cP, its thermal conductivity is 0.135 W/moC and its specific heat is 2.17 J/g oC. a) What is the overall heat transfer coefficient at this point, based on the inside area of the pipe? b) If the steam temperature is 120oC, what is the heat transfer rate at this point, based on the outside area of the pipe? c) Calculate the inside and outside wall temperatures of pipe when the steam temperature is 120oC and bulk temperature of oil is 40o
A 10-cm diameter pipe is covered by 2 layers of lagging. The insidelayer is 4 cm thick and has a coefficient of thermal conductivity of 0.08W/m-K. The outside layer is 3cm thick and has a coefficient of thermalconductivity of 0.15 W/m-K. The steam main conveys steam apressure of 1.7 MPa with 25 C superheat. The outside temperature ofthe lagging is 27 C. If the steam main is 30 m long, determine theinterface temperature of the lagging and overall coefficient of heattransfer based on outside area.
NUMBER 3 A food product with 80% moisture content in a 7 cm diameter can wants to be frozen. The density of the product is 1000 kg / m³, the thermal conductivity is 1.0 W / (m K), and the initial freezing temperature is -2.25 ° C. After 8 hours in the freezing medium -35 ° C, the product temperature becomes -10 ° C. Estimate the convection heat transfer coefficient of the freezing medium. Assume the can as an infinite cylinder. h = W / (m² K).
The temperature of an air stream flowing is measured by a copper – constantanthermocouple which may be approximated as a cylinder of 1.7 mm diameter. Initiallythe junction and air at a temperature of 25 oC. The air temperature suddenly changesto and is maintained at 215 oC. The thermal junction properties are: ρ = 8750 kg/m3; Cp = 380 J/kgoC; k(thermocouple) = 28W/moC; h = 145 W/m2-oC. a. Determine the time required for the thermocouple to indicate temperature of 165oC. Also, determine the thermal time constant and the temperature indicated bythe thermocouple at that instant.b. Discuss the stability of this thermocouple to measure unsteady state temperatureof a fluid when the temperature variation in the fluid has a time period of 3.6 s.
A small copper wire with a diameter of 0.792 mm and initially at 366.5 K is suddenly immersed in a liquid held constant at 311 K. The convection coefficient h = 85.2 W/m2 · K. The physical properties can be assumed constant and are k = 374 W/m · K, cp = 0.389 kJ/kg · K, and ρ = 8890 kg/m3. Determine the time in seconds for the average temperature of the wire to drop to 338.8 K (one-half the initial temperature difference). Do the same but for h=11.36W/m2·K. Forpart(b),calculate the total amount of heat removed for a wire 1.0 m long.
Calculate the heat losses per unit length in a horizontal tube with an outside diameter of 15 cm, if its surface is kept at 400 K AND the surrounding air has a temperature of 300 K and a pressure of 1 bar.The properties of air at a pressure of 1 bar and a film temperature of 350 K are: In this case, v = 20.76 x 10-6 m2/s , α = 0.2983 x 10-4 m2/s, k = 0.03003 W/mK, Pr = 0.697, β = 2.86 x 10-3 K-1