Aspherical container of inner radius r1 = 2 m, outer radius r2 = 2.1 m, and thermal conductivity k = 30 W/m °C is filled with iced water at 0°C. The container is gaining heat by convection from the surrounding air at T = 25°C with a heat transfer coefficient of h= 18 W/m2 °C. Assuming the inner surface temperature of the container to be 0°C, a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the container b) obtain a relation for the variation of temperature in the container by solving the differential equation c) evaluate the rate of heat gain to the iced water.
Aspherical container of inner radius r1 = 2 m, outer radius r2 = 2.1 m, and thermal conductivity k = 30 W/m °C is filled with iced water at 0°C. The container is gaining heat by convection from the surrounding air at T = 25°C with a heat transfer coefficient of h= 18 W/m2 °C. Assuming the inner surface temperature of the container to be 0°C, a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the container b) obtain a relation for the variation of temperature in the container by solving the differential equation c) evaluate the rate of heat gain to the iced water.
Related questions
Question
Transcribed Image Text:97% @
uo 11:01
ZAIN IQ lI.
HM2.docx
EXAMPLE 1
Aspherical container of inner radius rl = 2 m, outer radius r2 = 2.1 m,
and thermal conductivity k = 30 W/m °C is filled with iced water at 0°C.
The container is gaining heat by convection from the surrounding air at T
= 25°C with a heat transfer coefficient of h = 18 W/m2 °C. Assuming
the inner surface temperature of the container to be 0°C,
a) express the differential equation and the boundary conditions for
steady one-dimensional heat conduction through the container
b) obtain a relation for the variation of temperature in the container by
solving the differential equation
c) evaluate the rate of heat gain to the iced water.
EXAMPLE 2
Consider a 0.6 m high and 1.2 m wide double-pane window consisting of
two 4 mm thick layers of glass (k= 0.78 W/m K) separated by a 10 mm
wide stagnant air space (k = 0.026 W/m-K). Determine the steady rate of
heat transfer through this double-pane window and the temperature of its
inner surface for a day during which the room is maintained at 20°C
while the temperature of the outdoors is -5 °C. Take the convection heat
transfer coefficients on the inner and outer surfaces of the window to be
hl=10W/m2-K and h2-40W/m2.K which includes the effects of radiation.
Air
EXAMPLE 3
Lec 6 example 3 Ts?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 18 images
