Question

**consider a 0.8 cm thick steel plate with a thermal
conductivity of 50W/m-k.When the inside surface of the plate is
subjected to a uniform heat flux 0f 5*104 w/m2 the oter surface
temperature of the plate is measured to be 110c under steady
operating condition**

**a)express the differential equation and the boundary
conditions for steady one dimensional heat conduction through the
wall**

**b)obtain the relation for the variation of temperature
in the plate by solving the differential equation.**

**c)evaluate the temperatureof the inner surface of the
wall at x=0**

Answer #1

A 2 cm thick steel pipe (thermal conductivity = 43 W/[m.C]) with
6 cm inside diameter is being used to convey steam from a boiler to
process equipment for a distance of 40 m. The inside pipe surface
temperature is 115 degrees C, and the outside pipe surface
temperature is 90 degrees C. Calculate the total heat loss to the
surroundings under steady-state conditions.

71 mm thick horizontal plate made of an opaque material of
thermal conductivity k= 25 W/m-K. At the bottom, water flows at a
temperature of T∞,w = 25C, whereas air flows at the top of the
plate at T∞,a = 710 C having convection coefficient of ha= 71
W/m2-K. Assuming a diffused top of the plate that receives an
irradiated flux of 7100W/m2, of which 30% is reflected back. The
top and bottom surface temperatures are maintained at 43 C...

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...

Homework-9
Due:
Q) A fuel plate is fabricated from 0.3 cm thick 1.5% enriched
uranium. The cladding is 0.25 mm 304 stainless steel. The coolant
saturation temperature is 260 oC. The
average thermal neutron flux is 2.5 X
1014
neutrons/cm2 /s. The surface
temperature of the clad is 350 oC.
Assume any missing data to answer the following questions:.
1) Write an expression of the heat generated per unit volume
2 What is the heat flux at the surface of...

A stainless steel pipe [thermal conductivity = 17 W/(m.C)] is
being used to convey heated oil. The inside surface temperature is
13 degrees C. The pipe is 2 cm thick with an inside diameter of 8
cm. The pipe is insulated with 0.04m thick insulation [thermal
conductivity = 0.035 W/(m.C)]. The outer insulation temperature is
25 degrees C. Calculate the temperature of the interface between
steel and insulation, assume steady-state conditions.

Q. Unsteady conduction
A large steel plate 0.02 m thick leaves a heat treating furnace
at 425 oC. And the plate is
plunged into water (at 25 oC) and cooled from both sides. How
long does it take for the
maximum temperature to reach 65 oC?
For steel plate: thermal conductivity, k=30 W/m·K, density
?=7600 kg/m3, heat capacity
cp=700 J/kg·K. Heat transfer coefficients: h=6000 W/m2·K in
water.
Please use two methods to calculate this question:
(1) Directly apply the exact...

Water flows through a pipe at an average temperature of
T =50°C. The inner and outer radii of the pipe are
r1 = 6 cm and r2 = 6.5 cm,
respectively. The outer surface of the pipe is wrapped with a thin
electric heater that consumes 300 W per m length of the pipe. The
exposed surface of the heater is heavily insulated so that the
entire heat generated in the heater is transferred to the pipe.
Heat is transferred...

The thermal conductivity of a sheet of rigid,extruded insulation
is k = 0.020 W/(m*K). The measured temperature difference across a
30-mm-thick sheet of the material is T1-T2=10 C.
a.) Assuming 1-D, steady state conditions withouth thermal
energy generation in the material, what is the heat flux through a
2 m x 3 m sheet of the insulation?
b.) What would be the effect on the rate of heat transfer
through the sheet if a material with a relatively higher thermal...

The 7-mm-thick base plate of an iron is made of an aluminum
alloy (? = 2,700 kgm-3; c = 950 Jkg-1K-1; k = 200 Wm-1K-1; ? =
0.8), and has outer surface area of 0.04 m2, perimeter of 0.7 m,
and maximum length of 0.3 m. An electrical resistance heater
applies a uniform heat flux of 12.5 kWm-2 to the inner surface of
the base plate when the iron is turned on. The outer surface of the
base plate is...

Consider a cube of density, specific heat, and thermal
conductivity of 2700 kg/m3, 0.896 kJ/kg-K, and 204 W/m-K,
respectively. The cube is 5 cm in length, and is initially at a
temperature of 20 oC. For t>0, two of the boundary surfaces are
insulated, two are subjected to uniform heating at a rate of 10,000
W/m2, and two dissipate heat by convection to an ambient
temperature of 20 oC, with a heat transfer coefficient of 50
W/m2-K.
Assuming lumped capacitance...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 13 minutes ago

asked 20 minutes ago

asked 23 minutes ago

asked 41 minutes ago

asked 43 minutes ago

asked 46 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago