Question

In: Mechanical Engineering

A Styrofoam(k = 0.035 W/m-°C) box has outer dimensions of 250 mm x 450 mm x...

A Styrofoam(k = 0.035 W/m-°C) box has outer dimensions of 250 mm x 450 mm x 600 mm and is 3 cm thick. Initially, the box is filled with 40kg of ice at 0°C, and the inner surface temperature of the ice chest can always be taken to be 0°C. The heat transfer coefficient between the outer surface of box and surrounding air at 35°C is 20 W/m2 -°C. (a) Determine how long it will take for the ice in the box to melt completely. Assume that the heat transfer from the 450 mm x 600 mm bottom of the box is negligible.

Solutions

Expert Solution


Related Solutions

An I-section joist 450 mm x 250 mm x 20 mm is used as a strut...
An I-section joist 450 mm x 250 mm x 20 mm is used as a strut with one end fixed and the other end free carrying a buckling load of 200 × 106 N. Suggest the changes to be made in the length of the strut for a constant flexural rigidity by considering both the ends to be hinged, both the ends to be fixed and one end fixed but the other end hinged. Compare the values of the safe...
FIreclay brick (ρ=2050 kg/m3, cp=960 J/kg-K, k=1.1 W/m-K) with dimensions 0.06 m x 0.09 m x...
FIreclay brick (ρ=2050 kg/m3, cp=960 J/kg-K, k=1.1 W/m-K) with dimensions 0.06 m x 0.09 m x 0.20 m is removed from a kiln at 1600K and cooled in air at 40C with h = 30 W/m2-K. What is the temperature at the corner of the brick after 50 minutes of cooling? Give your answer in degrees C.
A circumferential fin (k= 55 W/m C) of thickness 3 mm and length 3 cm is...
A circumferential fin (k= 55 W/m C) of thickness 3 mm and length 3 cm is attached to a pipe of diameter 3 cm. The fin is exposed to a convection environment at 23 C with h=25 W/m2 oC. The fin base temperature is 223 C. Calculate the heat lost (qf) by the fin.
The inner and outer panes of a double-glazed window of dimensions 2 m x 2 m...
The inner and outer panes of a double-glazed window of dimensions 2 m x 2 m and 0.6 cm thick, the temperature is 18 ° C and 6 ° C, respectively. If the 1 cm gap between the two panes is filled with still air, determine the rate of heat transfer through the conduction air layer in kW and the temperatures at the air-glass interfaces. K air = 0.026 ? / ?.? and K glass = 0.85 ? / ?.k
A box has dimensions of 1.8 m length (y-direction), 1.8 m width (x- direction), and 3.6...
A box has dimensions of 1.8 m length (y-direction), 1.8 m width (x- direction), and 3.6 m height (z-direction). With the head of a vector at the front, bottom, left-hand corner of the box , and the tail of the vector at the back, top, right-hand corner of the box (at the origin); give the vector in Cartesian form, magnitude/direction angles representation, and the unit vector.
Water flows at 112°C through a steel pipe (k=90 W/m °C) which has a 6 cm...
Water flows at 112°C through a steel pipe (k=90 W/m °C) which has a 6 cm inside diameter and 8cm outside diameter. Such that, hi =346 W/m2 °C and ho =6.0 W/m2 °C. Surrounding air temperature is 20°C. To reduce heat loss to the surroundings the pipe is covered with an insulation insulation having the thickness of 4.0 mm and k=0,5W/m°C . Calculate; a.    The heat loss by convection per unit length from the bare pipe (before insulation). b....
A conducting rectangular loop of mass, M, resistance R, and dimensions w x l falls from...
A conducting rectangular loop of mass, M, resistance R, and dimensions w x l falls from rest into a magnetic field B. During the time interval before the top edge of the loop reaches the field, the loop approaches a terminal speed vt ​. Show that vt=MgR/B2w2
A rectangular swimming pool has dimensions of 25 m x 9 m and a depth of...
A rectangular swimming pool has dimensions of 25 m x 9 m and a depth of 1.8 m and is full to the brim with water. Determine a) the absolute pressure at the bottom of the pool, b) the total force on the bottom of the pool, and c) the absolute pressure at point P, a point on the side of the pool just near the bottom. (Worth 2 pts)
Suppose A=(7B^n)/(CD), where A has dimensions [T]/[L]^3, B has dimensions [T], C has dimensions [T][M]^2, and...
Suppose A=(7B^n)/(CD), where A has dimensions [T]/[L]^3, B has dimensions [T], C has dimensions [T][M]^2, and D has dimensions [L]^3/[M]^2. Using dimensional analysis, find the value of the exponent n.
1. A thick metal plate (alpha = 3.5 x 10-6 m2/s and k = 0.7 W/m-K),...
1. A thick metal plate (alpha = 3.5 x 10-6 m2/s and k = 0.7 W/m-K), initially at a uniform temperature of 100oC, is suddenly exposed to a convection environment of water at 20oC, giving a very large convection coefficient. a. Sketch the surface heat flux, q", as a function of time b. Using an explicit numerical scheme with a time step of 60 s, calculate the time required for the temperature to change 80 mm from the surface.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT