A long slender solid cylindrical rod made of copper is 2 cm in diameter. It is...
A long slender solid cylindrical rod made of copper is 2 cm in diameter. It is taken out of a liquid nitrogen bath at 77 K and exposed to a stream of warm air at a temperature of 50 C. Neglect internal temperature gradients find the time taken by the rod to heat up to a temperature of 10 C if the surface heat transfer coefficient is 20 W/m^2K. For copper, take k=330 W/mK and ?=95*10^-6 m^2/s.
Homework Answers
In the given problem, we need to calculate the time taken by the rod to heat up to a temperature of 10 C. The complete step by step procedure for solution is provided below.
Please don't forget to
rate the answer positively by giving thumbs up. Thank you have a
great day....
Add Answer to:
A long slender solid cylindrical rod made of copper is 2 cm in
diameter. It is...
A long rectangular copper bar of a cross section of 2cm by 3cm and a long...
A long rectangular copper bar of a cross section of 2cm by 3cm and a long cylindrical copper rod of 2.2 cm in diameter are initially at a uniform temperature of 120 °C. They are then exposed to a cooling air stream at 22 °C with a heat transfer coefficient of 180 W/m-K. Taking the properties of the copper to be k = 400 W/m-K and p-8930 kg/m', and C -0.385 kJ/kg-K, determine: a How long would it take for...
A very long solid cylindrical rod contains an internal source of uniform heat, per unit volume...
A very long solid cylindrical rod contains an internal source of
uniform heat, per unit volume f; and is
connected to a wall that is at the temperature T1, the
rod is exposed to a fluid with a convention coefficient h and
temperature T.
It is requested:
a) Obtain the differential equation, which determines the
temperature distribution in stable state T(x) in the cylindrical
rod.
b) Solve the previous differential equation for the temperature
distribution.
c) Obtain an expression for...
A long cylindrical rod of diameter 100 mm with thermal conductivity of 0.5 W/mK experiences uniform...
A long cylindrical rod of diameter 100 mm with thermal conductivity of 0.5 W/mK experiences uniform volumetric heat generation of 5.0 x 10 W/m². The rod is encapsulated by a circular sleeve having an outer diameter of 400 mm and a thermal conductivity of 4 W/mK. The outer surface of the sleeve is exposed to cross flow of air at 27°C with a convection coefficient of 25 W/m2K (a) Find the temperature at the Interface between the rod and sleeve...
A long cylindrical rod of diameter 220 mm with thermal conductivity 0.5 W/m-K expe riences uniform...
A long cylindrical rod of diameter 220 mm with thermal conductivity 0.5 W/m-K expe riences uniform volumetric heat generation of 25,000 W/m3. The rod is encapsulated by a circular sleeve having 7 W/m K. The outer surface of the sleeve is exposed to cross flow of air at 25°C with a convection coefficient of 25 W/m2-K. Find the temperature at the interface between the rod and sleeve, and on the outer surface. an outer diameter of 410 mm and thermal...
A brass rod (k = 133 W/m-K) with a diameter of 5 mm and a length...
A brass rod (k = 133 W/m-K) with a diameter of 5 mm and a length of 100 mm is used to enhance heat transfer from a surface which is maintained at 200 C. The cylindrical surface of the rod is exposed to a convection environment with h = 30 W/m2-K and an ambient temperature of 20 C. a) Calculate the heat convected away from the rod. b) Calculate the temperature 50 mm from the wall. c) Plot the temperature...
One end of a long rod 3 cm in diameter is inserted into a furnace with the
One end of a long rod 3 cm in diameter is inserted into a furnace with the (3 outer end projecting into the outside air. Once the steady state is reached the temperature of the rod is measured at two points, 15 cm apart and found to be 140°C and 100°C, when the atmospheric air is at 30°C with convection coefficient of 20 W/m2.K. Calculate the thermal conductivity of *.the rod material Consider a stainless steel spoon(k = 15.1 W/m.K), partially...
A bare copper cable 2.5 cm in diameter is situated in still air at 15°C. A...
A bare copper cable 2.5 cm in diameter is situated in still air at 15°C. A current of 800 Amps is passed along the cable. Heat is transferred from the cable to its surroundings by natural convection for which the heat transfer coefficient may be expressed as 2.95025 W/m2 K. Determine whether or not it may be assumed that the temperature across the copper cross section is uniform and what the equilibrium temperature of the cable surface will be. If...
A cylindrical fuel rod 50mm in diameter has a uniform internal heat generation of ??1̇ =...
A cylindrical fuel rod 50mm in diameter has a uniform internal heat generation of ??1̇ = 7*107 W/m3 . Under steady-state conditions, the temperature distribution is ??(??) = ?? + ????2, where T is in Celsius, ?? is in meters, ?? = 750°C, and ?? = -5.40*105 °C/m2 . The fuel rod properties are k=25 W/(m K), density= 1100 kg/m3 , and cp = 750 J/(kg K). (a) Determine the heat transferred (in Watts) at r=0 (centerline) and r=ro (outer...
1. Heat is generated at a uniform steady rate in a long solid cylinder. The cylinder...
1. Heat is generated at a uniform steady rate in a long solid cylinder. The cylinder loses heat from its exposed surface to surroundings at constant temperature. Show that the radial temperature profile in the cylinder can be represented by the equation: T, = Twer - 9 4k where qy is the rate of heat generation per unit volume and Tur is the maximum temperature in the profile. [30%] In a long solid cylinder of 40mm diameter heat is generated...
P-11.1. We quantify Fourier's experiment, shown in Fig. 11.3, for a cylindrical copper rod of a...
P-11.1. We quantify Fourier's experiment, shown in Fig. 11.3, for a cylindrical copper rod of a length 1.2 Cross-sectional area 4.8 cm The rod is insulated to prevent heat loss through its surface. A temperature dif ference of 100 K is maintained between the ends. Find the rate at which heat is conducted through the rod m and a
A long rectangular copper bar of a cross section of 2cm by 3cm and a long cylindrical copper rod of 2.2 cm in diameter are initially at a uniform temperature of 120 °C. They are then exposed to a cooling air stream at 22 °C with a heat transfer coefficient of 180 W/m-K. Taking the properties of the copper to be k = 400 W/m-K and p-8930 kg/m', and C -0.385 kJ/kg-K, determine: a How long would it take for...
A very long solid cylindrical rod contains an internal source of
uniform heat, per unit volume f; and is
connected to a wall that is at the temperature T1, the
rod is exposed to a fluid with a convention coefficient h and
temperature T.
It is requested:
a) Obtain the differential equation, which determines the
temperature distribution in stable state T(x) in the cylindrical
rod.
b) Solve the previous differential equation for the temperature
distribution.
c) Obtain an expression for...
A long cylindrical rod of diameter 100 mm with thermal conductivity of 0.5 W/mK experiences uniform volumetric heat generation of 5.0 x 10 W/m². The rod is encapsulated by a circular sleeve having an outer diameter of 400 mm and a thermal conductivity of 4 W/mK. The outer surface of the sleeve is exposed to cross flow of air at 27°C with a convection coefficient of 25 W/m2K (a) Find the temperature at the Interface between the rod and sleeve...
A long cylindrical rod of diameter 220 mm with thermal conductivity 0.5 W/m-K expe riences uniform volumetric heat generation of 25,000 W/m3. The rod is encapsulated by a circular sleeve having 7 W/m K. The outer surface of the sleeve is exposed to cross flow of air at 25°C with a convection coefficient of 25 W/m2-K. Find the temperature at the interface between the rod and sleeve, and on the outer surface. an outer diameter of 410 mm and thermal...
A bare copper cable 2.5 cm in diameter is situated in still air at 15°C. A current of 800 Amps is passed along the cable. Heat is transferred from the cable to its surroundings by natural convection for which the heat transfer coefficient may be expressed as 2.95025 W/m2 K. Determine whether or not it may be assumed that the temperature across the copper cross section is uniform and what the equilibrium temperature of the cable surface will be. If...
1. Heat is generated at a uniform steady rate in a long solid cylinder. The cylinder loses heat from its exposed surface to surroundings at constant temperature. Show that the radial temperature profile in the cylinder can be represented by the equation: T, = Twer - 9 4k where qy is the rate of heat generation per unit volume and Tur is the maximum temperature in the profile. [30%] In a long solid cylinder of 40mm diameter heat is generated...
P-11.1. We quantify Fourier's experiment, shown in Fig. 11.3, for a cylindrical copper rod of a length 1.2 Cross-sectional area 4.8 cm The rod is insulated to prevent heat loss through its surface. A temperature dif ference of 100 K is maintained between the ends. Find the rate at which heat is conducted through the rod m and a
Most questions answered within 3 hours.
-
The average length of time between arrivals at a turnpike
toll-booth is 26 seconds. What is...
asked 29 minutes ago -
(a) A piston at 6.1 atm contains a gas that occupies a volume of
3.5 L....
asked 1 hour ago -
Please answer true or false. Words
cannot be changed or added in to make it true...
asked 1 hour ago -
An empty test tube weighs 15.923 grams. Then,
MgCl2•6H2O is added into the test tube. After...
asked 1 hour ago -
Assume memory access is 10 units of time and disk access is
10000 units of time....
asked 2 hours ago -
1. Are all good samples random?
2. Magazines often report surveys giving statistics such as “63%...
asked 2 hours ago -
Under all the various types of market structures, firms
must eventually earn some economic profits for...
asked 2 hours ago -
Consider the following fitness regime for a single locus trait
with two co-dominant alleles: w11 =...
asked 2 hours ago -
A large cable company reports the following.
80% of its customers subscribe to its cable TV...
asked 2 hours ago -
Please answer the question in brief.
Discuss the role of ERP in organizations. Are ERP tools...
asked 2 hours ago -
Discuss the pros and cons of collaborative software such
as SameTime. Does it increase productivity? What...
asked 2 hours ago -
Buying your in-laws a gift because it’s expected is
due to the ____________ motive of gift-giving....
asked 2 hours ago