Question

For a straight, rectangular fin that is 2 cm in length, and 1 cm
in thickness, with a thermal conductivity of 55 W/m^{o}C,
density = 8000 kg/m^{3}, and a wall temperature of
500^{o}C in an environment where h=50 W/m^{2o}C and
T_{air} = 25^{o}C, what is the heat dissipated from
the fin per meter of depth?

Answer #1

A fin of rectangular profile has a thermal conductivity of 14
W/m C, thickness of 2.0 mm, and length of 23 mm. The base of the
fin is maintained at a temperature of 220 o C while the fin is
exposed to a convection environment at 23 o C with h=25 W/m2 o C.
Calculate heat lost per meter of fin depth for the three tip
conditions. (a) Convection, (b) Adiabatic, and (c) T (x=L) = 23 o
C.

An aluminum fin 1.6 mm thick surrounds a tube 2.5 cm
in diameter. The length
of the fin is 12.5 mm. The tube-wall temperature is 200◦C, and the
environment
temperature is 20◦C. The heat-transfer coefficient is 60 W/m2 · ◦C.
Consider the heat dissipated in a pipe 1.20 m long if the fins are
4.2 mm apart from center to center
Explain your procedure with formulas

The extent to which the tip condition affects the thermal
performance of a fin depends on the fin geometry and thermal
conductivity, as well as the convection coefficient. Consider an
alloyed aluminum (k = 180 W/m*K) rectangular fin of length L = 10
mm, thickness t = 1 mm, and width w >> t. The base
temperature of the fin is Tb = 100°C, and the fin is exposed to a
fluid of temperature T∞ = 25°C. Assuming a uniform...

A stainless-steel fin (k = 16 W/m. °C) has a length of
15 cm and a square cross section 12.5 by 12.5 mm attached to a wall
maintained at 250 °C. The heat-transfer coefficient is 40 W/m. °C,
and the environment temperature is 90 °C. Calculate the percentage
increase in heat transfer after attaching the fin.

A rectangular furnace wall is made of fire clay (Height = 3m,
Width = 1.2m, thickness L=0.17m) The temperautre of the inside
surface ( area H x W, Tx, is 1592 K,and of the outside surface
(area = H x W ), Tc is 1364 K
Determine the temperature gradient
Determine the heat transfer rate
Determine the heat transfer flux
Determine thermal resistance

A thin metallic wall may be constructed using copper (properties
are given in the table). The piping is required
to have a radius r = 0.008 m and carries steam at 385 K. The wall
is inside a room surrounded by air at a temperature
of 298 K. The wall is insulated with a material (properties are
given in the table).
Properties
Copper
Insulation material
Thermal Conductivity (W/m per ˚C)
385
0.071
Density (kg/m3)
8940
453
i. If the external...

Consider a large uranium plate of thickness 5 cm and thermal
conductivity k = 28 W/m K in which heat is generated uniformly at a
constant rate of q˙ = 6 × 10^5 W/m^3 . One side of the plate is
insulated while the other side is subjected to convection in an
environment at 30◦C with a heat transfer coefficient of h = 60 W/m2
K. Considering six equally spaced nodes with a nodal spacing of 1
cm,
(a) Sketch...

An 80.0 cm × 1.25 m glass window has a thickness of 2.34 mm. If
the indoor temperature is 22.0°F and the outdoor temperature is
98.5°F, What is the rate at which heat is conducted through the
glass in this window? (thermal conductivity of glass is 0.75
W/(m•K))

A lake is covered with ice that is 3.6 cm thick. The temperature
of the ambient air is –15°C. Find the rate of thickening of ice.
Assume the thermal conductivity of ice is 2.00 W/(m · K), the
density of ice is 9.0 ✕ 102 kg/m3, and the latent heat of fusion is
3.33 ✕ 105 J/kg. µm/s?

A block of wood
(density 713 kg/m3)
of length L = 50.0 cm, width W = 40.0 cm, and thickness
H
=
30.0 cm floats in water (density
1.000 × 103
kg/m3).
What is the
volume percentage of the wood that is above water?
If the wood is
set to oscillate, what is its frequency?
How much can the
wood carry without sinking?

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