An Aluminum cube (6 sides) having a side dimension of 3.0 cm is initially at a uniform temperature of 100 ◦C. It is suddenly exposed to an airstream of 10◦C with h = 30 W/m2 · ◦C. Check for the suitability of the lumped capacity analysis and determine the time (sec) for the cube temperature to drop to 25◦C?
An Aluminum cube (6 sides) having a side dimension of 3.0 cm is initially at a...
Example 5 • A cube (k=204W/mK, đ=8.4x10-5m-/s) of 11 cm on each side is initially at a temperature of 400° C. It is suddenly immersed in a tank of oil maintained at 85°C. The convection coefficient is 1100 W/m2 K. Determine the temperature at the center of one face after a time of 1 min by Heisler chart.
method) 2. (50%) A Carbon Steel Cube (AISI!) of 15 cm per side is at an initial temperature of 100 °C and suddenly immersed in a fluid whose temperature is 50 °C and h 25 W m2 °C, considering a time of one/ teen hour. Calculate: a) the temperature using the concentrated systems method; b) the temperature at the corner of the cube using the method of approaching a term or letters of Heisler, c) The heat transferred. 1010 o,1...
3. A large, 5-cm thick plate of pure aluminum initially at a uniform temperature of 200°C is suddenly exposed to a convection environment in which the fluid temperature is 50°C and the heat- transfer coefficient is 1200 W/ m K. Calculate the temperature of the plate at a depth of 1.5 cm from one of the surfaces after 3 min. How much heat is lost from the plate during this time? Ans: Tplate = plane
A cube of iron of side length 10 cm is insulated from its base and at initial uniform temperature of 300 c suddenly heat is generated in the cube body by the rate of 10^5 w/m^3 and the heat transfer from its five surface by convection with heat transfer coefficient of 25 w/m^2 and temperature of 25 c find the temperature of the body after 1200 s and 3600 s with and without heat generation
A large stainless steel (AISI 316) plate having a thickness of 5 mm is initially at a temperature of 70°C, and both sides of the plate are suddenly exposed to a convection environment at 20°C with the heat transfer coefficient of h= 800 W/m 2 oC. What will be the center and surface temperatures of the plate after 10 s? For stainless steel (AISI 316), α = 348x10-6 m2/s and k = 13.4 W/m K.
An expandable cube, initially 18 cm on each side contains 3.0 g of helium at 20∘C. 1000 J of heat energy are transferred to this gas. What is the final volume if the process is at constant pressure? Express your answer in cubic centimeters.
5. A long rod 40 mm in diameter, is fabricated from sapphire (aluminum oxide) and initially at a uniform temperature of 800K, is suddenly cooled by a fluid at 300 K having a heat transfer coefficient of 1600 W/(m2 K). After 35 s, the rod is wrapped in insulation and experiences no heat loss. a. Using MATLAB, plot the temperature profile in the rod at t = 35 s.
A cube of water 14 cm on a side is placed in a microwave beam having E0 = 15 kV/m . The microwaves illuminate one face of the cube, and the water absorbs 77 % of the incident energy. How long will it take to raise the water temperature by 44 ∘C? Assume that the water has no heat loss during this time.
Problem 2. A long 6.5 cm diameter solid cylinder steel (K 16.3 W/m. K,p 7817 kg/m3, Cp 460 J/kg.k). It's initially at a uniform temperature of T 150°C. It is suddenly exposed to a convection environment with h-285 W/m2 K and Too 50°C. Calculate the temperature at 1.) the axis of the cylinder, and 2.) a 2.5 cm radial distance after 5 min of exposure to the cooling flow. (20%)
A long cylinder of diameter D 0.012 m, thermal conductivity k 358 W/(mK), density p - 7614 kg/m3, specific heat c 418 J/(kgK) is initially at a uniform temperature of Ti-74°C. The cylinder is suddenly exposed to a gas at T,-18 ℃ The convection coefficient is h -17 W/(m2K). Verify that a lumped capacitance analysis can be used for the transient response of the cylinder temperature. What is the time t in seconds for the cylinder temperature to become Tf-32...