A ball with diameter D = 5 cm and with initial temperature 0 °C is to be exposed to air at33°C, h 12 W/m² °C. Take the ball properties are Cp = 235 J/kg K, and p 10500 kg/m³,k= 429 W/m.K. Determine the following1. The thermal time constant.2. Biot number.3. How long will it take the ball to reach 25°C, and find the value of Fourier number at this time.

Given that, Diameter of the ball D = 5 cm = 0.05 m Initial temperature of ball To = 0oC Temperature…

Answered: A ball with diameter D = 5 cm and with…

Introduction to Chemical Engineering Thermodynamics

8th Edition

ISBN:9781259696527

Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Chapter1: Introduction

Section: Chapter Questions

Problem 1.1P

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Answer: 24.187 °C
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 -2.5 ° C. After 11 hours in the freezing medium -40 ° C, the product temperature becomes -10 ° C. Estimate the convection heat transfer coefficient of the freezing medium. Assume the can as an infinite cylinder. Answer : h = W / (m² K).
À wall of area 30 m² having a density of 1500 kg/m', thermal conductivity 30 W/m.K, and specific heat capacity 4 kJ/kg.K. The temperature distribution across a wall 0.5 m thick at a certain instant of time is given as T(x) = 30-5 x-7x The wall is generating a uniform heat (q.) of 1000 W. (1) Find the rate of heat transfer entering and leaving the wall (in W). (2) Find rate of energy stored in Watt. (3) Find (dFT/dx²) (4) Derive the change in temperature with respect to time equation (time rate of temperature change)- remember to substitute the value of (d T/dx²) from (part 3) and values of all other properties into final equation. %3D
A piece of thick beef 10 cm beaks will be frozen in the freezing room -35 ° C.The products have 73% water content, the mass of 970 kg / m³, and thermal conductivity (frozen) of 1.1 w / (m k). Instruct time freezing using the plank equation. This product has a frozen temperature of -1.75 ° C, and air movement in the frozen room provides a convection heat transfer coefficient of 10 W / (m² k). t f = answer
A pipe (ID: 130 mm, OD: 165 mm, k=15 Wim2-K, Length: 2 meters)is insulated with several materials, and convection on the inside and outside of the pipe is as follows. Oil inside is at 118°C and air outside is at 25°C. Material kĄ or h Thickness 10.256 Wim2-K 25 mm 2.369 W/m2-K 30 mm C 0.257 W/m2-K 40 mm 2 Oil inside h = 120.3T3 (T in K) Air outside h= 0.2773 (Tin K) Determine heat losses of the pipe, and what must be the temperature of the oil to decrease the heat losses by 20%? AB
A spherical System containing hot water has an outside diameter of 0.8 in and a wall thickness of 0.2 is being used to heat a H2 stream flowing on the outside. The average temperature of the water is 80°F and that of H2 is 40°F. The terminal conductivity of the piping system (11.8110ft) is a function of temperature according to the following empirical equation. K=7.75 × 10-⁸ T² - 7.78 × 10-²a) Derive the heat rate equation. Using the molecular transport equation that can be used to solve this problemb) calculate the heat transfer c) Determine the log mean area m²
A food product with 73% moisture content in a 5 cm diameter can wants to be frozen. Density of the product is 970 kg / m³ thermal conductivity is 1.2 W / (m K) and the initial freezing temperature is -2 degrees Celsius after 12 hours in the freezing medium -30 degrees Celsius The product temperature becomes -10 degrees Celsius estimated heat transfer coefficient convection of freezing medium. assume the can as an infinite cylinder . h =
Rods of copper, brass, aluminium, and steel are welded together to form an X-shaped figure. Assume that the cross sectional area of each rod is the same. The end of the copper rod is maintained at 120°C. The end of the aluminum rod is at 100°C and the ends of steel and brass rods are at 0°C. The lengths and thermal conductivities of the rods are: Copper: L = 50cm k = %3D 0.92 cal/s cm°C Brass: L = 25cm k = 0.26 Aluminum: L = 60cm k %3D = 0.49 Steel : L = 15cm k = 0.12 Calculate the temperature at the junction.
1-The steady state temperatures distribution in a one-dimensional wall of thermal conductivity and thickness L is of the form T-ax3+bx+cx+d. derive expressions for the heat generation rate per unit volume in the wall and heat fluxes at the two wall faces(x=0, L). Find: expressions for the heat generation rate in the wall and the heat fluxes at the two wall faces(x=0, L).

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