A solid rectangular parallelepiped is made of aluminum and is initially at 20 C. The base is a 2 cm by 3 cm rectangle and the height of the parallelepiped is 5 cm. The parallelepiped is now dropped into hot oil at 150 C. Find: a) the temperature of point P and b) the temperature of the center of the parallelepiped after 2 min of exposure to hot oil. Point P is located 1 cm above the center plane and 1 cm from each side

A solid rectangular parallelepiped is made of aluminum and is initially at 20 C. The base is a 2 cm by 3 cm rectangle and the height of the parallelepiped is 5 cm. The parallelepiped is now dropped into hot oil at 150 C. Find: a) the temperature of point P and b) the temperature of the center of the parallelepiped after 2 min of exposure to hot oil. Point P is located 1 cm above the center plane and 1 cm from each side

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter3: Transient Heat Conduction

Section: Chapter Questions

Problem 3.37P

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A solid rectangular parallelepiped is made of aluminum and is initially at 20 C. The base is a 2 cm by 3 cm rectangle and the height of the parallelepiped is 5 cm. The parallelepiped is now dropped into hot oil at 150 C. Find: a) the temperature of point P and b) the temperature of the center of the parallelepiped after 2 min of exposure to hot oil. Point P is located 1 cm above the center plane and1 cm from each side.
Two thermal reservoirs are connected by a solid copper bar. The bar is 2 m long, and the temperatures of the reservoirs are 80.0∘C and 20.0∘C. a) Suppose that the bar has a constant rectangular cross section, 10 cm on a side. What is the rate of heat flow through the bar? b) Suppose the bar has a rectangular cross section that gradually widens from the colder reservoir to the warmer reservoir. The area A is determined by A=(0.01m^2)[1.0+x/2.0m] , where x is the distance along the bar from the colder reservoir to the warmer one. Find the rate of heat flow and the rate of change of temperature with distance at the colder end, at the warmer end, and at the middle of the bar.
A computer is protected against impact by foam packaging (spring stiffness, k = 100 N/cm; mass, m = 11 kg, including packaging). The maximum acceleration that the computer can withstand on impact with a hard surface is 4g. At the maximum acceptable impact acceleration, how much does the packaging compress upon impact? Give the answer in cm. What is the maximum height, h, in cm that the case can fall from without damaging the computer?
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The icecaps of Greenland and Antarctica contain about 1.75% of the total water (by mass) on the earth’s surface; the oceans contain about 97.5%, and the other 0.75% is mainly groundwater. Suppose the icecaps, currently at an average temperature of about somehow slid into the ocean and melted. What would be the resulting temperature decrease of the ocean? Assume that the average temperature of ocean water is currently 5.0 ℃.
A cylindrical tank (1.20m in diameter) contains two liquids with the follow specific gravities:LIQUID 1: oil (s.g.oil = 0.80)LIQUID 2: water (s.g.water = 1.00)Each specified liquid has a thickness of 0.60m with the denser liquid at the bottom. If a circular office is placed at the bottom of the tank (100mm in diameter and with c = 0.65) to drain the fluids: Compute for the time required to remove the denser liquid from the tank. Hint/s: In evaluating the time to drain the more dense fluid, use the concept of equivalent pressure heads to evaluate hinitial and hfinal since there are multiple fluids in the container
solve step by step and correctly. A family enters a winter vacation cabin has been unheated for such a long time the interior temperature is the same as the outside temperature (00C). The cabin consists of a single room of floor area 4m by 4m and height 3m. The room contains one 2kW electric heater. Assuming that the room is perfectly airtight and that all the heat from the electric heater is absorbed by the air, none escaping through the walls or being absorbed by the furnishing, how long after the heater is turned on will the temperature reach the comfort level of 240C.
Two homogeneous spheres of mass M radius R joined by a bar of length L, negligible mass, and suspended from their geometric center by a string such that when rotated ϕ exerts torque −kϕ with k torsion coefficient of the wire. The air exerts dissipative effect F = −6πηv on each sphere, where η is the viscosity of the air and v is the linear velocity of each sphere. If I is the moment of inertia of a sphere with respect to the vertical axis that passes through the wire, determine the damping factor and natural frequency. (image 2)